Mechanics of Material Forces (Advances in Mechanics and Mathematics) (repost)
Mechanics of Material Forces (Advances in Mechanics and Mathematics) by Paul Steinmann and Gérard A. Maugin
English | 2005-09-28 | ISBN: 0387262601 | 331 pages | PDF | 13,1 mb
English | 2005-09-28 | ISBN: 0387262601 | 331 pages | PDF | 13,1 mb
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.