References

Back

1. Adams V, Askenazi A (1998) Building Better Products With Finite Element

Analysis. OnWord Press, Santa Fe

2. Ainsworth M, Oden JT (1997) “A posteriori error estimation in finite element

analysis”, Computer Methods in Appl. Mech. Eng. 142: 1–88

3. Akin JE (1994) Finite Elements for Analysis and Design. Academic Press, London

4. Akin JE (2005) Finite Elements with Error Estimators. Elsevier, Amsterdam

5. Allman DJ (1988) “A quadrilateral finite element including vertex rotations for

plane elasticity problem”, Int. J. Num. Methods in Eng. 26: 2645–2655

6. Altenbach H, Altenbach J, Kissing W (2004) Mechanics of Composite Structural

Elements. Springer-Verlag Berlin Heidelberg New York

7. Andrianov IV, Awrejcewicz J, Manevitch LI (2004) Asympotical Mechanics ot

Thin-Walled Structures. Springer-Verlag Berlin Heidelberg New York

8. Apel T (1999) Anisotropic Finite Elements: Local Estimates and Applications

Advances in Numerical Mathematics. Teubner Verlag, Stuttgart

9. Arnold DN, Falks RS (1989) “Edge effects in the Reissner–Mindlin plate theory”,

in: Analytic and Computational Models of Shells (Eds. Noor AK, Belytschko T,

Simo JC), A.S.M.E., New York: 71–90

10. Babuˇska I, Rheinboldt WC (1978) “Error estimates for adaptive finite element

computations”, SIAM J. Numer. Anal. 4, 15: 736–754

11. Babuˇska I, Miller AD (1984) “The post-processing approach in the finite element

method, I: calculations of displacements, stresses and other higher derivatives of

the displacements”, Int. J. Num. Methods in Eng. 20: 1085–1109

12. Babuˇska I, Miller AD (1984) “The post-processing approach in the finite element

method, II: the calculation of stress intensity factors”, Int. J. Num. Methods in

Eng. 20: 1111–1129

13. Babuˇska I, Miller AD (1984) “The post-processing approach in the finite element

Num. Methods in Eng. 20: 2311–2324

14. Babuˇska I (1986) “Uncertainties in Engineering Design. Mathematical Theory

and Numerical Experience”, in: The Optimal Shape (Eds. Bennett J and Botkin

MM) Plenum Press

15. Babuˇska I, Miller A (1987) “A feedback finite element method with a posteriori

error estimation. Part I: the finite element method and some basic properties of

the a posteriori error estimator”, Computer Methods in Appl. Mech. Eng. 61: 1–40

16. Babuˇska I (1990) “The problem of modeling the elastomechanics in engineering”,

Computer Methods in Appl. Mech. Eng. 82: 155–182

support”, SIAM Journal for Numerical Analysis 21: 551–576

method, III: a posteriori error estimation and adaptive mesh selection”, Int. J.

17. Babuˇska I, Pitk¨aranta J (1990) “The plate paradox for hard and soft simple

580 References

18. Babuˇska I, Osborn J (1998) Can a Finite Element Method Perform Arbitrarily

Badly? TICAM Report 98-19 ICES at the University of Texas, Austin

19. Babuˇska I, Strouboulis T (2001) The Finite Element Method and its Reliability.

Oxford University Press, Oxford

20. Babuˇska I, Banerjee U, Osborn J (2004) “Generalized Finite Element Mthods:

Main ideas, results and perspective”, International Journal of Computational

Methods 1 (1): 67-103

21. Babuˇska I, Oden JT (2005) “The reliability of computer predictions: can they

be trusted?”, Int. J. Numerical Analysis and Modeling 1: 1–18

22. Bangerth W, Rannacher R. (2003) Adaptive Finite Element Methods for Differential

Equations. Birkh¨auser Verlag Basel Boston Berlin

23. Backstrom G (1998) Deformation and Vibration by Finite Element Analysis.

Studentlitteratur, Lund

24. Barthel C (2000) Comparative study of a floor plate. University Kassel

25. Barton G (1989) Elements of Green’s Functions and Propagation, Potentials,

Diffusion and Waves. Oxford Scientific Publications, Oxford

26. Bathe K-J (1996) Finite Element Procedures. Prentice Hall New Jersey

27. Bathe K-J, Dvorkin EN (1985) “A four-node plate bending element based on

Mindlin/Reissner theory and a mixed interpolation”, Int. J. Num. Methods in

Eng. 21: 367–383

28. Bathe K-J, Chapelle D (2002) The Finite Element Analysis of Shells – Fundamentals.

Springer-Verlag Berlin Heidelberg New York

29. Batoz JL, Bathe K-J, Ho LW (1980) “A study of three-node triangular plate

bending elements”, Int. J. Num. Methods in Eng. 15: 1771–1812

30. Batoz JL (1982) “An explicit formulation for an efficient triangular plate bending

element”, Int. J. Num. Methods in Eng. 18: 1077–1089

31. Batoz JL, Katili I (1992) “Simple triangular Reissner–Mindlin plate based on

incompatible modes and discrete contacts”, Int. J. Num. Methods in Eng. 35:

1603-1632

32. Baumann A (2000) Plate analysis with SOFISTIK. TU Munich

33. Bazeley GP, Cheung YK, Irons BM, Zienkiewicz OC (1965) “Triangular elements

in plate bending conforming and non-conforming solutions”, Proc. (1st)

Conf. On Matrix Methods in Struct. Mech. AFFDL TR 66-80: 547–578

34. Becker R, Rannacher R (2001) “An optimal control approach to a posteriori

error estimation in finite element methods”, Acta Numerica, 1–102

35. Beer G, Watson JO (1992) Introduction to Finite and Boundary Element Methods

for Engineers. John Wiley & Sons, Chichester

36. Beer G, Golser H, Jedlitschka G, Zacher P (1999) Coupled Finite Element/

Boundary Element Analysis in Rock Mechanics - Industrial Applications

Rock Mechanics for Industry (Eds. Amadei, Kranz, Scott & Smeallie) A.A .

Balkema. Rotterdam

37. Beer G (2000) Programming the Boundary Element Method. John Wiley &

Sons, Chichester

38. Belytschko T, Liu WK and Moran B (2000) Nonlinear Finite Elements for Continua

and Structures. John Wiley & Sons, New York

39. Belytschko T, Chiapetta T, Bartel RL (1976) “Efficient large-scale non-linear

transient analysis by finite elements”, Int. J. Num. Methods in Eng. 10: 579–596

40. Belytschko T, Bindemann LP (1987) “Assumed strain stabilization of the 4-

node quadrilateral with 1-point quadrature for nonlinear problems”, Computer

Methods in Appl. Mech. Eng. 88: 311–340

References 581

41. Benvenuto E (1981) La Scienza delle Costruzioni e il suo Sviluppo Storico.

Sansoni, Firenze, p. 107

42. Bergan PG, Felippa CA (1985) “A triangular membrane element with rotational

degrees of freedom”, Computer Methods in Appl. Mech. Eng. 50: 25–69

43. Bernadou M (1996) Finite Element Methods for Thin Shell Problems. John

Wiley & Sons Chichester, Masson Paris

44. Beskos DE Ed. (1991) Boundary Element Analysis of Plates and Shells. Springer

Series in Computational Mechanics, Ed. Atluri SN, Springer-Verlag Berlin Heidelberg

New York

45. Betsch P. (1966) Statische und dynamische Berechnungen von Schalen endlicher

elastischer Deformationen mit gemischten finiten Elementen. Dissertation, Institut

f¨ur Baumechanik und Numerische Mechanik, University of Hannover,

46. Bletzinger K-U, Bischoff M, Ramm E (2000) “A unified approach for shear–

locking free triangular and rectangular shell finite elements”, Comp. & Structures,

73: 321–334.

47. Blum H (1988) “Numerical treatment of corner and crack singularities”, in:

Finite Element and Boundary Element Techniques from Mathematical and Engineering

Point of View. (Eds. Stein E, Wendland W) CISM Lecture Notes 301,

Springer-Verlag Wien New York

48. Bonnet M (1995) Boundary Integral Equation Methods for Solids and Fluids.

John Wiley & Sons, England

49. Boussinesq J (1885) Application des Potentiels `a l’Etude de l’Equilibre et du

Mouvement des Solides Elastique. Gauthier-Villars, Paris

50. Braack M, Ern A (2003) “A posteriori control of modeling errors and discretization

errors”, Multiscale Model. Simul. 1: 221–238

51. Braess D (1997) Finite Elements: Theory, Fast Solvers and Applications in Solid

Mechanics. Cambridge University Press, Cambridge

52. Brauer JR (1988) What Every Engineer Should Know About Finite Element

Analysis. Marcel Dekker Inc. New York

53. Brenner SC, Scott R (2002) The Mathematical Theory of Finite Element Methods.

Springer-Verlag Berlin Heidelberg New York (2nd ed.)

54. Bucalem ML, Bathe KJ (2006) The Mechanics of Solids and Structures.

Springer-Verlag Berlin Heidelberg New York

55. B¨urge M, Schneider J (1994) Variability in Professional Design. Strct. Engineering

Intern. 4: 247–250

56. Carroll WF (1999) A Primer for Finite Elements in Elastic Structures. John

Wiley & Sons, New York

57. Case J, Chilver L, Ross CTF (1993) Strength of Materials and Structures With

an Introduction to Finite Element Methods. Chapman & Hall, New York (3rd ed.)

58. Chandrupatla TR, Belegundu AD (2001) Introduction to Finite Elements in

Engineering. Prentice-Hall, Englewood Cliffs. Pearson Education

59. Chang CH (2005) Mechanics of Elastic Structures with Inclined Members.

Springer-Verlag Berlin Heidelberg New York

60. Chen GJ Zhou (1992) Boundary Element Methods. Academic Press, London

San Diego

61. Choi KK, Kim NH (2005) Structural Sensitivity Analysis and Optimization 1 -

Linear Systems. Springer-Verlag Berlin Heidelberg New York

62. Choi KK, Kim NH (2005) Structural Sensitivity Analysis and Optimization 2 -

Nonlinear Systems and Applications. Springer-Verlag Berlin Heidelberg New York

582 References

63. Ciarlet PG (1978) The Finite Element Method for Elliptic Problems. North-

Holland Amsterdam

64. Ciarlet PG, Lions JL Eds. (1991) Handbook of Numerical Analysis, Volume II:

Finite Element Methods. North-Holland, Amsterdam

65. Ciarlet PG, Lions JL Eds. (1996) Handbook of Numerical Analysis, Volume IV:

Finite Element Methods (Part 2), Numerical Methods for Solids (Part 2). Elsevier,

Amsterdam

66. Ciarlet PG (2005) An Introduction to Differential Geometry with Applications

to Elasticity. Springer Verlag

67. C， irak F, Ramm E (2000) “A posteriori error estimation and adaptivity for

elastoplasticity using the reciprocal theorem”, Int. J. Num. Methods in Eng. 47:

379–393

68. Clough RW, Tocher JL (1965) “Finite element stiffness matrices for analysis of

plate bending”, Proc. (1st) Conf. On Matrix Methods in Struct. Mech., AFFDL

TR 66–80: 515–546

69. Cook RD (1987) “A plane hybrid element with rotational d.o.f. and adjustable

stiffness”, Int. J. Num. Methods in Eng. 24, 8: 1499–1508

70. Cook RD, Malkus DS, Plesha ME (1989) Concepts and Applications of Finite

Element Analysis. John Wiley & Sons, New York (3rd ed.)

71. Cook RD (1995) Finite Element Modeling for Stress Analysis. John Wiley &

Sons, New York

72. Crisfield MA (1991) Non-linear Finite Element Analysis of Solids and Structures.

1: Essentials. John Wiley & Sons, Chichester

73. Crisfield MA (1997) Non-linear Finite Element Analysis of Solids and Structures.

2: Advanced Topics. John Wiley & Sons, New York

74. Dautray R, Lions JL (1990) Mathematical Analysis and Numerical Methods for

Science and Technology. Springer-Verlag Berlin Heidelberg New York

75. Deif A (1986) Sensitivity Analysis in Linear Systems. Springer-Verlag Berlin

Heidelberg New York

76. Desai CS, Kundu T (2001) Introductory Finite Element Method. CRC Press,

Boca Raton, FL

77. Dolbow J, Mo¨es N, Belytschko T (2000) “Discontinuous enrichment in finite elements

with a partition of unity method”, Finite Elements in Analysis and Design,

36: 235–260

78. Dow JO (1999) Finite Element Methods and Error Analysis Procedures: A

Unified Approach. Academic Press, San Diego

79. Duddeck F (2002) Fourier BEM. Springer-Verlag Berlin Heidelberg New York

80. Dvorkin EN, Goldschmit MB (2005) Nonlinear Continua. Springer-Verlag Berlin

Heidelberg New York

81. Edelsbrunner H (2001) Geometry and Topology for Mesh Generation. Cambridge

University Press, Cambridge

82. Elishakoff I, Ren Y (2003) Finite Element Methods for Structures With Large

Stochastic Variations. Oxford University Press, Oxford

83. Estep D, Holst M, Larson M (2003) Generalized Green’s functions and the

effective domain of influence. Preprint 2003-10, Chalmers Finite Element Center,

Chalmers University of Technology, Goteborg, Sweden

84. Fagan MJ (1992) Finite Element Analysis: Theory and Practice. John Wiley &

Sons, New York

85. Fellin W, Lessmann H, Oberguggenberger M, Vieider R (Eds.) (2005) Analyzing

Uncertainty in Civil Engineering. Springer-Verlag Berlin Heidelberg New York

References 583

86. Fenner RT (1975) Finite Element Methods for Engineers. The Macmillan Press

Ltd., London

87. Fix GJ, Strang G (1969) “Fourier analysis of the finite element method in Ritz-

Galerkin theory”, Studies in Appl. Math. 48 265–273

88. Frey PJ, George PL (2000) Mesh Generation Application to Finite Elements.

Hermes Science Publishing, Oxford, Paris

89. Fujita H. (1955) “Contributions to the theory of upper and lower bounds in

boundary value problems”, J. Phys. Soc. Japan 10: 1–8

90. Gambhir ML (2004) Stability Analysis and Design of Structures. Springer-

Verlag Berlin Heidelberg New York

91. Gao XW, Davies TG (2002) Boundary Element Programming in Mechanics,

Cambridge University Press

92. Gaul L, K¨ogl M, Wagner M (2003) Boundary Element Methods for Engineers

and Scientists. Springer-Verlag Berlin Heidelberg New York

93. Germain P (1962) M`ecanique des milieux continus. Masson Paris

94. Gerold F (2004) 3D-Modellierung von Geb¨auden mit der Methode der Finiten

Elemente. Master Thesis, FH Konstanz

95. Gould PL (1985) Finite Element Analysis of Shells of Revolution. Surveys in

Structural Engineering and Structural Mechanics 4, Pitman Publishing, New York

96. Gr¨atsch T (2002) L2-Statik, PhD-thesis University Kassel

97. Gr¨atsch T, Hartmann F (2003) “Finite element recovery techniques for local

quantities of linear problems using fundamental solutions”, Computational Mechanics,

33:15-21

98. Gr¨atsch T, Hartmann F (2004) “Duality and finite elements”, Finite Elements

in Analysis and Design, 40: 1005–1020

99. Gr¨atsch T, Bathe KJ, (2006) “Goal-oriented error estimation in the analysis of

fluid flows with structural interactions”, Computer Methods in Applied Mechanics

and Engineering (in press)

tical finite element analysis”, Computers & Structures, 83: 235-265

37(5): 394-40

Form¨anderungen von Stahlbetontragwerken, Deutscher Ausschus f¨ur Stahlbeton,

Heft 240, 3. Auflage Beuth Berlin

48: 1675–1702

fast stiffness computation”, Comp. Meth. Appl. Mech. Eng. 194: 4279-4300

using a mixed hybrid shell element”, Comput. Mech. (2006) 37: 479-497

Element Discretizations. Nova Science Publishers Inc., Commack, NY

for Numerical Methods in Engineering, 63(5):631-788

107. Gruttmann F, Wagner W (2006) “Structural analysis of composite laminates

100. Gra¨tsch T, Bathe KJ (2005) “Influence functions and goal-oriented error es-

105. Gruttmann F, Wagner W (2004) “A stabilized onepoint integrated quadrilat-

106. Gruttmann F, Wagner W (2005) “A linear quadrilateral shell element with

timation for finite element analysis of shell structures”, International Journal

101. Gr¨atsch T, Bathe KJ (2005) “A posteriori error estimation techniques in prac-

102. Gr¨atsch T, Hartmann F (2006) Pointwise error estimation and adaptivity for

103. Grasser E, Thielen G (1991) Hilfsmittel zur Berechnung der Schnittgr¨osen und

104. Gruttmann F, Sauer R, Wagner W (2000) “Theory and numerics of three-

108. Gu Jinshen (1999) Domain Decomposition Methods for Nonconforming Finite

the finite element method using fundamental solutions, Computational Mechanics,

dimensional beams with elastoplastic behaviour”, Int. J. Num. Methods in Eng.

eral ReissnerMindlin plate element”, Int. J. Num. Methods in Eng. 61: 2273-2295

584 References

109. Gupta M (1977) “Error in eccentric beam formulation”, Int. J. Num. Methods

in Eng. 11: 1473–1477

110. Gupta OP (1999) Finite and Boundary Element Methods in Engineering.

Balkema, Rotterdam

111. Gupta KK, Meek JL (2000) Finite Element Multidisciplinary Analysis. AIAA,

New York

112. Gurtin ME (1972) The Linear Theory of Elasticity. In: Handbook of Physics.

Berlin Heidelberg New York

113. Haldar A, Guran A, Ayyub BM Eds. (1997) Uncertainty Modeling in Finite

Element, Fatigue and Stability of Systems. World Scientific Publ., River Edge, NJ

114. Haldar A and Mahadevan S (2000) Reliability Assessment Using Stochastic

Finite Element Analysis. John Wiley & Sons, New York

115. Hartmann F (1985) The Mathematical Foundation of Structural Mechanics.

Springer-Verlag Berlin Heidelberg New York

116. Hartmann F (1989) Introduction to Boundary Elements. Springer-Verlag

Berlin Heidelberg New York

117. Hartmann F, Jahn P (2001) “Boundary element analysis of raft foundations

on piles”, Meccanica 36: 351–366

118. Hjelmstad, KD (2005) Fundamentals of Structural Mechanics. Springer Science

+ Business Media New York 2nd edition

119. Heyman J (1969) “Hambly’s paradox: why design calculations do not reflect

real behaviour”, Proc. Inst. Civil Eng. 114: 161–166

120. Huebner KHH, Dewhirst DL, Smith DE, Byrom TG (2001) Finite Element

Method. John Wiley & Sons, New York

121. Hughes TJR (1987) The Finite Element Method. Prentice-Hall, Englewood

Cliffs, New Jersey

122. Hughes TJR (1981) “Finite elements based upon mindlin plate theory with

particular reference to the four-node bilinear isoparametric element”, Journal of

Applied Mechanics, 48: 587–596

123. Hurtado JE (2004) Structural Reliability. Springer-Verlag Berlin Heidelberg

New York

124. Irons BM (1976) “The semiloof shell element, finite elements for thin shells

and curved members”, (Eds. D.G. Ashwell, R.H. Gallagher) John Wiley London,

197–222

125. Irons BM, Razzaque A (1972) “Experience with the patch test for convergence

of finite elements”, In: The Mathematical Foundations of the Finite Element

Method with Applications to Partial Differential Equations. (Aziz AK Ed.)

Academic Press, New York, 557–587

126. Jahn P, Hartmann F (1999) “Integral representations for the deflection and

the slope of a plate on an elastic foundation”, Journal of Elasticity 56: 145–158

127. Jahn P, Hartmann F (2002) Numerical Calculation for Plates on an Elastic

Foundation. Preprint University of Kassel

128. Jakobsen B, Rasendahl F, (1994) “The Sleipner platform accident”, Structural

Engineering International, 3: 190–194

129. Jeyachandrabose C, Kirkhope J (1985) “An alternative formulation for the

DKT plate bending element”, Int. J. Num. Methods in Eng. 21: 1289–1293

130. Jiang B (1998) The Least-Square Finite Element Method. Springer-Verlag

Berlin Heidelberg New York

Ed. Flu¨gge S, Volume VIa/2 Solid mechancis II. Ed. Truesdell C, Springer-Verlag

References 585

131. Johnson C (1995) Numerical Solution of Partial Differential Equations by the

Finite Element Method. Cambridge University Press

132. Johnson C, Hansbo P (1992) “Adaptive finite element methods in computational

mechanics”, Computer Methods in Appl. Mech. Eng. 101, North-Holland,

Amsterdam

133. Kachanov M, Shafiro B, Tsukrov I (2004) Handbook of Elasticity Solutions.

Springer-Verlag Berlin Heidelberg New York

134. Kaliakin VN (2001) Introduction to Approximate Solutions Techniques, Numerical

Modeling, and Finite Element Methods. Marcel Dekker Inc., New York

135. Kato T (1953) “On some approximate methods concerning the operaort T

∗

T”,

Math. Ann., 126: 253–262

136. Katsikadelis JT (2002) Boundary Elements: Theory and Applications. Elsevier

Science

137. Kattan PI, Voyiadjis GZ (2002) Damage Mechanics with Finite Elements practical

Applications with Computer Tools. Springer-Verlag Berlin Heidelberg New

York

138. P (2003) MATLAB Guide to Finite Elements: An Interactive

139. Katz C., Stieda (1992) “Praktische FE-Berechnung mit Plattenbalken”, Bauinformatik

1: 30–34

140. Katz C, Werner H (1982) “Implementation of nonlinear boundary conditions

in finite element analysis”, Computers & Structures 15: 299–304

141. Katz C (1995) “Kann die FE-Methode wirklich alles?”, FEM 95 - Finite Elemente

in der Baupraxis. (Eds. Ramm E, Stein E, Wunderlich W), Ernst & Sohn,

Berlin

142. Katz C (1986) “Berechnung von allgemeinen Pfahlwerken”, Bauingenieur 61

Heft 12

143. Katz C (1997) “Fliesszonentheorie mit Interaktion aller Stabschnittgr¨osen bei

Stahltragwerken”, Stahlbau 66: 205–213

144. Katz C (1996) “Vertrauen ist gut, Kontrolle ist besser”, in: Software f¨ur Statik

und Konstruktion. (Eds. Katz C, Protopsaltis B) Balkema A.A., Rotterdam

145. Kelly DW, Gago JP de SR, Zienkiewicz OC, Babuˇska I (1983) “A posteriori

error analysis and adaptive processes in the finite element method: part I - error

analysis”, Int. J. Num. Methods in Eng. 19: 1595–1619

146.

147. Kn¨opke B (1994) “The hypersingular integral equation for bending moments

mxx, myy and mxy of the Kirchhoff plate”, Computational Mechanics 14: 1–12

148. Kojic M, Bathe KJ (2005) Inelastic Analysis of Solids and Structures. Springer-

Verlag Berlin Heidelberg New York

149. Kotsovos MD, Pavlovic MN (1995) Structural Concrete: Finite Element Analysis

for Limit-State Design. Telford, London

150. Krenk S (2001) Mechanics and Analysis of Beams, Columns and Cables.

Springer-Verlag Berlin Heidelberg New York (2nd ed.)

151. Kuhn G, Partheym¨uller P (1997) “Analysis of 3D elastoplastic notch and crack

problems using boundary element method”, n:i Wendland WL Ed., Boundary

Element Topics, 99–116. Springer-Verlag Berlin Heidelberg New York

152. Kuhn G, K¨ohler O (1997) “A field boundary formulation for axisymmetric

finite strain elastoplasticity”, Proceedings of the IUTAM/IACM-Symposium on

Approach. Springer-Verlag Berlin Heidelberg New York

Kattan

Elemente”, in: Betonkalender 2001 Ernst & Sohn, Berlin, 381–446

Kemmler R, Ramm E (2001) “Modellierung mit der Methode der Finiten

586 References

153. Larsson F, Hansbo P, Runesson K (2002) “Strategies for computing goaloriented

a posteriori error measures in nonlinear elasticity”, Int. J. Num. Methods

in Eng. 55: 879–894

154. Lesaint P (1976) “On the convergence of Wilsons nonconforming element for

solving elastic problems”, Computer Methods in Appl. Mech. Eng. 7: 1–16

155.

156. Li S, Liu WK (2002) “Meshfree and particle methods and their applications”,

Applied Mechanics Review 55(1): 1–34

157. Liu GR and Quek SS (2003) Finite Element Method: A Practical Course.

Butterworth Heinemann, Oxford

158. Lueschen GGG, Bergman LA (1996), “Green’s functions for uniform Timoshenko

beams”, Journal of Sound and Vibration 194(1): 93-102

159. MacNeal RH, Harder RL (1985) “A proposed standard set of problems to test

finite element accuracy”, Finite Elements in Analysis and Design 1: 3-20

160. MacNeal RH (1994) Finite elements: their design and performance. Dekker,

New York

161. Mackie RI (2000) Object Oriented Methods and Finite Element Analysis. Saxe-

Coburg Publ., Edinburgh

162. Materna D (2004) Goal-oriented recovery bei nichtlinearen Scheibenproblemen.

Diploma Thesis University of Kassel

163. Melenk JM, Babuˇska I (1996) “The partition of unity finite element method:

Basic theory and applications”, Computer Methods in Appl. Mech. Eng. 139:

289–314

164. Melosh RJ (1990) Structural Engineering Analysis by Finite Elements.

Prentice-Hall, Englewood Cliffs

165. Melzer H, Rannacher R (1980) “Spannungskonzentrationen in Eckpunkten der

Kirchhoffschen Platte”, Bauingenieur 55: 181–184

166. Mindlin RD (1936) “Force at a point in the interior of a semi-infinite solid”,

Physics 7: 195–202

167. Mindlin RD (1951) “Influence of rotatory inertia and shear on flexural motions

of isotropic elastic plates”, ASME Journal of Applied Mechanics, Vol 18: 31–38

168.

169. Mo¨es, N, Dolobow J, Belytschko T (1999) “A finite element method for crack

growth without remeshing”, Int. J. Num. Methods in Eng. 46: 131–150

170. Mohammed A (2001) Boundary Element Analysis: Theory & Programming.

CRC Press

171. Nayfeh AH, Pai PF (2004) Linear and Nonlinear Structural Mechanics. John

Wiley & Sons, Chichester

172.

173.

174. Nowinski JL (1981) Applications of Functional Analysis in Engineering.

Plenum Press New York London

175. Oden JT, Reddy JN (1976) An Introduction to the Mathematical Theory of

Finite Elements. John Wiley & Sons New York London

Publishers

Discretization Methods in Structural Mechanics II, Vienna, Kluwer Academic

ANSYS. Prentice-Hall, Upper Saddle River, NJ

Capability, Compatibility, Applications Vol 1. Pergamon Press, Oxford

Capability, Compatibility, Applications Vol 2. Pergamon Press, Oxford

Approach. Marcel Dekker Inc. London

Lepi SM (1998) Practical Guide to Finite Elements: A Solid Mechanics

Moaveni S (1999) Finite Element Analysis: Theory and Application With

Niku-Lari A, Ed. (1986) Structural Analysis Systems-Software, Hardware,

Niku-Lari A, Ed. (1986) Structural Analysis Systems-Software, Hardware,

References 587

176. Oden JT, Zohdi TI (1997) “Analysis and adaptive modeling of highly heterogeneous

elastic structures”, Comput. Methods Appl. Mech. Engrg. 148: 367–391

177. Oden JT, Prudhomme S (2001) “Goal-oriented error estimation and adaptivity

for the finite element method”, Computers and Mathematics with Applications 41:

735–756

178. Oden JT, Prudhomme S (2002) “Estimation of modeling error in computational

mechanics”, J. Computational Physics 182: 496–515

179. Paraschivoiu M, Peraire J, Patera A (1997) “A posteriori finite element bounds

for linear-functional outputs of elliptic partial differential equations”, Computer

Methods in Applied Mechanics and Engineering, 150: 289–312

180. Pauli W (2000) “Unerwartete Effekte bei nichtlinearen Berechnungen ”, Software

f¨ur Statik und Konstruktion - 3 (Eds. Katz C, Protopsaltis B) A.A.Balkema,

Rotterdam Broolfield

181. Peraire J, Patera AT (1998) “Bounds for linear-functional outputs of coercive

partial differential equations: Local indicators and adaptive refinement”Advances

in Adaptive Computational Methods in Mechanics, (Ed. Ladev`eze P, Oden JT),

199-21, Elsevier Amsterdam

182. Perelmuter A, Slivker V (2003) Numerical Structural Analysis. Springer-Verlag

Berlin Heidelberg New York

183. Pflanz G (2001) Numerische Untersuchung der elastischen Wellenausbreitung

infolge bewegter Lasten mittels der Randelementmethode im Zeitbereich. VDI

Fortschritt-Bericht, Reihe 18, Nr. 265

184. Pian THH (1964) “Derivation of element stiffness matrices by assumed stress

distribution”, AIAA J. 2: 1332–1336

185. Pian THH, Wu CC (2005) Hybrid and Incompatible Finite Element Methods.

Chapman & Hall/CRC

186. Pierce NA, Giles MB (2000) “Adjoint recovery of superconvergent functionals

from pde approximations”, SIAM Review, 42: 247–264

187. Pilkey WD, Wunderlich W (1994) Mechanics of Structures, Variational and

Computational Methods. CRC Press Boca Raton, Ann Arbor London Tokyo

188. Piltner R, Taylor RL (1999) “A systematic construction of B-bar functions for

linear and non-linear mixedenhanced finite elements for plane elasticity problems”,

Int. J. Numer. Methods in Eng. 44: 615-639

189. Pitkaeranta J, Matache AM, Schwab C (1999) Fourier mode analysis of layers

in shallow shell deformations. Research Report ETH Seminar for Applied Mathematics,

Z¨urich

190. Pomp A (1998) The Boundary-Domain Integral Method for Elliptic Systems -

With Application to Shells. Springer-Verlag Berlin Heidelberg New York

191.

192. Potts D, Zdravkovic L (1999) Finite Element Analysis in Geotechnical Engineering:

Volume I - Theory. Telford Publishing, London

193. Potts D, Zdravkovic L (1999) Finite Element Analysis in Geotechnical Engineering:

Volume II - Application. Telford Publishing, London

194. Prathap G (1993) The Finite Element Method in Structural Engineering. Solid

Mechanics and Its Applications, 24. Kluwer Academic Publ., Dordrecht

195. Qin QH (2000) The Trefftz Finite and Boundary Element Method. WIT Press,

Southampton

196. Raamachandran J (2000) Boundary and Finite Elements Theory and Problems

CRC Press, Boca Raton, FL

Programming Approach. Springer-Verlag Berlin Heidelberg New York

Portela A, Charafi A (2002) Finite Elements Using Maple A Symbolic

588 References

197. Rajagopalan K (1993) Finite Element Buckling Analysis of Stiffened Cylindrical

Shells. Ashgate Publishing Company, Aldershot, Hampshire

198.

199. Rannacher R, Suttmeier FT (1997) “A feed-back approach to error control in

finite element methods: application to linear elasticity”, Computational Mechanics,

19: 434–446

200. Rannacher R (1998) Error Control in Finite Element Computations. preprint

1998–54, Inst. Angew. Math. University Heidelberg,

201. Rao SS (1999) The Finite Element Method in Engineering. Pergamon Press,

Oxford (4th ed.)

202. Reddy BD (1998) Introductory Functional Analysis. With Applications to

Boundary Value Problems and Finite Elements. Springer-Verlag Berlin Heidelberg

New York

203. Reddy JN (1991) Applied Functional Analysis and Variational Methods in

Engineering. Krieger Publishing Company Malabar

204. Roache PJ (1998) Verification and validation in Computational Science and

Engineering. Hermosa Publisher, Albuquerque

205. R¨ossle A, S¨andig A-M (2001) Corner singularities and regularity results for the

Reissner/Mindlin plate model. Preprint 01/04 of SFB 404 “Mehrfeldprobleme in

der Kontinuumsmechanik” at University Stuttgart

206. R¨ossle A (2000) “Corner singularities and regularity of weak solutions for the

two-dimensional lam´e equations on domains with angular corners”, Journal of

Elasticity, 60: 57–75

207. Ross CTF (1990) Finite Element Methods in Engineering Science. Horwood

Publishing Ltd, Chichester, UK

208. Ross CTF (1996) Finite Element Programs in Structural Engineering and Continuum

Mechanics. Albion Publishing, Chichester

209. Ross CTF (1998) Advanced Applied Finite Element Methods. Horwood Publishing

Ltd, Chichester

210. Rubin H (2006) Private communication, TU Vienna

211. R¨ucker M, Krafczyk M, Rank E (1998) “A parallel p-version FE-approach for

structural engineering”, Advances in Computational Mechanics with High Performance

Computing. Civil-Comp Press, Edinburgh, UK, 73–78

212. Runesson K (2002) “Goal-oriented finite element error control and adaptivity

with emphasis on nonlinear material behavior and fracture”, 15th Nordic Seminar

on Computational Mechanics NSCM 15 (Eds. Lund E, Olhoff N, Stegmann J):

25–32

213. Schwab C (1998) p- and hp-Finite Element Methods. Oxford University Press,

Oxford

214. Schwalbe JW (1989) Finite Element Analysis of Plane Frames and Trusses.

Krieger Publishing, Melbourne, FL

215. Schwarz HR (1988) Finite Element Methods, Computational Mathematics and

Applications Series. Academic Press, London

216. Schenk C, Schu¨eller G (2005) Uncertainty Assessment of Large Finite Element

Systems. Lecture Notes in Applied and Computational Mechanics, 24. Springer-

Verlag Berlin Heidelberg New York

217. Simo JC, Rifai MS (1990) “A class of mixed assumed strain methods and the

method of incompatible modes”, Int. J. Num. Methods in Eng. 29: 1595–1638

G. Mehlhorn, Baustatik Baudynamik, Ernst & Sohn, Berlin 1995

Ramm, E, Hofmann TJ (1995) Stabtragwerke, in: Der Ingenieurbau, Ed.

References 589

218. Simo JC, Armero F (1992) “Geometrically non-linear enhanced strain mixed

methods and the method of incompatible modes”, Int. J. Num. Methods in Eng.

33: 1413–1449

219. Simo JC, Armero F, Taylor RL (1993) “Improved versions of assumed enhanced

strain tri-linear elements for 3D finite deformation problems”, Computer Methods

in Appl. Mech. Eng. 110: 359–386

220. Sladek V, Sladek J (1998) Singular Integrals in Boundary Element Methods

(Advances in Boundary Elements Vol. 3). Computational Mechanics Publication

Southampton

221. Snieder R (2004) A guided Tour of Mathematical Methods for the Physical

Sciences. Cambridge University Press, Cambridge

222. Spyrakos CC, Raftoyiannis J (1997) Linear and Nonlinear Finite Element Analysis

in Engineering Practice. Algor Inc., Pittsburgh, PA

223. Stark RF, Booker JR (1997) “Surface displacements of a non-homogeneous

elastic half-space subjected to uniform surface tractions. Part I: loading on arbitrarily

shaped areas”, Int. J. Num. Analytical Meth. Geomechanics, 21: 361–378

224. Stark RF, Booker JR (1997) “Surface displacements of a non-homogeneous

elastic half-space subjected to uniform surface tractions. Part II: loading on rectangular

shaped areas”, Int. J. Num. Analytical Meth. Geomechanics, 21: 379–395

225. Steele JM (1989) Applied Finite Element Modeling - Practical Problem Solving

for Engineers. Marcel Dekker Inc., New York

226.

227. Stein E, Ohnimus S (1999) “Anisotropic discretization and model-error estimation

in solid mechanics by local Neumann problems”, Computer Methods in

Appl. Mech. Eng. 176: 363–385

228. Stein E,WendlandWEds. (1988) Finite Element and Boundary Element Techniques

from Mathematical and Engineering Point of View. Springer-Verlag Berlin

Heidelberg New York

229. Stein E, de Borst R, Hughes TJR Eds. (2004) Encyclopedia of Computational

Mechanics, Vol. 1 Fundamentals, Vol. 2 Solids and Structures, Vol. 3 Fluids. Wiley,

Chichester

230. Strang G, Fix GJ (1973) An analysis of the finite element method. Prentice

Hall, Englewood Cliffs, N.J.

231. Strang G (1991) Calculus. Wellesley-Cambridge Press, Wellesley

232. Strang G (1986) Introduction to Applied Mathematics. Wellesley-Cambridge

Press, Wellesley

233. Strang G (2003) Linear Algebra and Its Applications. Saunders (3rd ed.)

234.

235. Stummel F (1979) “The generalized patch test”, SIAM Journal for Numerical

Analysis, 16, 3: 449–471

236. Stricklin JA et al (1969) “A rapidly converging triangular plate element”, AIAA

J. 7: 180–181

237. Sudarshan R, Amaratunga K, Gr¨atsch T (2006) “A combined approach for

238.

New York

Mechanics. John Wiley & Sons, New York

Szab´o B, Babuˇska I (1991) Finite Element Analysis. John Wiley & Sons, Inc.

in Eng. 15: 177–188

element wavelets” Int. J. Num. Methods in Eng. 66: 1002–1035

Stummel F (1980) “The limitations of the patch test”, Int. J. Num. Methods

goal-oriented error estimation and adaptivity using operator-customized finite

Stein E Ed. (2002) Error-Controlled Adaptive Finite Elements in Solid

590 References

239. Tabtabai SMR (1997) Finite Element-Based Elasto-Plastic Optimum Reinforcement

Dimensioning of Spatial Concrete Panel. Springer-Verlag Berlin Heidelberg

New York

240. Taylor RL, Simo JC (1985) “Bending and membrane elements for analysis of

thick and thin shells”, Proceedings of the NUMETA ’85 Conference: 587–591 (Eds.

Middleton J, Pande GN) Swansea, Balkema A.A. Rotterdam

241. Taylor RL, Beresford PJ, Wilson EL (1976) “A non-conforming element for

stress analysis”, Int. J. Num. Methods in Eng. 10: 1211–1219

242. Teller E, Teller W, Talley W (1991) Conversations on the dark secrets of

physics. Plenum Press New York London

243. Tenek LT, Argyris J (1998) Finite Element Analysis for Composite Structures.

Kluwer Academic Publ., Dordrecht

244. Topping BHV, Muylle J, Putanowicz R, Cheng B (2000) Finite Element Mesh

Generation. Saxe-Coburg Publ., Edinburgh

245. Tottenham H (1970) “Basic Principles”, in: Finite Element Techniques in

Structural Mechanics. (Eds. Tottenham H, Brebbia C), Southampton University

Press, Southampton 1970

246. Trompette P (1992) Structural Mechanics by FEM: Statics and Dynamics.

Masson, Paris

247. Vemaganti K (2004) “Modelling error estimation and adaptive modelling of

perforated materials”, Int. J. Num. Methods in Eng. 59: 1587–1604

248. Verf¨uhrt R (1996) Review of A Posteriori Error Estimation and Adaptive Mesh-

Refinement Techniques. Wiley Teubner

249. Wagner W, Gruttmann, F (2005) “A robust nonlinear mixed hybrid quadrilateral

shell element”, Int. J. Num. Methods in Eng. 64: 635-666

250. Wahlbin L (1995) Superconvergence in Galerkin Finite Element Methods.

Springer-Verlag Berlin Heidelberg New York

251. Whiteman JR Ed. (2000) The Mathematics of Finite Elements and Applications

X. Elsevier, Amsterdam

252. Williams ML (1952) Stress singularities resulting from various boundary conditions

in angular corners of plates in extension. Jounal of Applied Mechanics, 12:

526–528

253. Wilson E, Taylor RL, Doherty WP, Ghaboussi J (1971) “Incompatible displacement

models”, Symposium on Numerical Methods, University of Illinois

254.

255. Wriggers P (2001) Nichtlineare Finite-Element-Methoden, Springer-Verlag

Berlin Heidelberg

256. Wriggers P (2006) Computational Contact Mechanics. Springer-Verlag Berlin

Heidelberg (2nd ed.)

257. Wrobel LC, Aliabadi M (2002) The Boundary Element Method. Vol. 1, Apin

Thermo-Fluids and Acoustics. Vol. 2, Applications in Solids and

Structures. John Wiley & Sons Chichester

258.

259. Zienkiewicz OC, Taylor RL (2006) Finite Element Method: Volume 2 – For

Solid and Structural Mechanics. Butterworth Heinemann, London

260.

Media. John Wiley & Sons, Chichester

plications

Volume 3 – For Fluid Dynamics. Butterworth Heinemann, London

Wolf JP, Song Chongmin (1996) Finite-Element Modeling of Unbounded

Zienkiewicz OC, Taylor RL, Nithiarasu P (2006) Finite Element Method:

1– Its Basis & Fundamentals. Butterworth Heinemann, London

Zienkiewicz OC, Taylor RL, Zhu JZ (2006) Finite Element Method: Volume

References 591

261. Zienkiewicz OC, Zhu JZ (1987) “A simple error estimator and adaptive procedure

for practical engineering analysis”, Int. J. Num. Methods in Eng. 24: 337–357

262. Zienkiewicz OC, Zhu JZ (1992) “The superconvergent patch recovery and

a posteriori error estimates. Part 1: The recovery technique”, Int. J. Num. Methods

in Eng. 33: 1331–1364

263. Zienkiewicz OC, Zhu JZ (1992) “The superconvergent patch recovery and

a posteriori error estimates, Part 2: Error estimates and adaptivity”, Int. J. Num.

Methods in Eng. 33: 1365–1382

Навигация