Mechanics of Material Forces (Advances in Mechanics and Mathematics)
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Book Description
This book covers new theoretical and numerical developments in the mechanics of material forces. Conceptually speaking, common continuum mechanics in the sense of Newton – which gives rise to the notion of spatial (mechanical) forces – considers the response to variations of spatial placements of “physical particles” with respect to the ambient space, whereas continuum mechanics in the sense of Eshelby – which gives rise to the notion of material (configurational) forces – is concerned with the response to variations of material placements of “physical particles” with respect to the ambient material. Well-known examples of material forces are driving forces on defects like the Peach-Koehler force, the J-Integral in fracture mechanics, and energy release. The consideration of material forces goes back to the works of Eshelby, who investigated forces on defects; therefore this area of continuum mechanics is sometimes denoted Eshelbian mechanics.
Mechanics of Material Forces (Advances in Mechanics and Mathematics),Paul Steinmann,Gérard A. Maugin,Springer,0387262601,Engineering - General,Engineering - Mechanical,Material Science,Mathematical Physics,Mechanics - General,Mechanics, Applied,Science/Mathematics,Strains and stresses,Strength of materials,Technology,Technology & Industrial Arts,Continuum mechanics,Engineering: general,Materials mechanics,Materials science,Mathematics / Applied,Mathematics and Science,Mechanical engineering,Numerical methods,Solid mechanics
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