The unifying notion of material force which gathers under one vision all types of driving “forces” on defects and smooth or abrupt inhomogeneities in fracture, defect mechanics, elastodynamics (localized solutions) and allied theories such as in electroelasticity, magnetoelasticity, and the propagation of phase transition fronts, is reviewed together with its many faceted applications. The presentation clearly distinguishes between the role played by local physical balance laws in the solution of boundary-value problems and that played by global material balance laws in obtaining the expression of relevant material forces and devising criteria of progress for defects, in a general way. The advances made along this line, which may be referred to as Eshelbian mechanics, are assessed and perpectives are drawn.
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May 1995
Review Articles
Material Forces: Concepts and Applications
Ge´rard A. Maugin
Ge´rard A. Maugin
Universite´ Pierre et Marie Curie, Laboratoire de Mode´lisation en Me´canique (UA CNRS229), Tour 66, 4 place Jussieu, Case 162, F-75252 Paris Ce´dex 05, France
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Ge´rard A. Maugin
Universite´ Pierre et Marie Curie, Laboratoire de Mode´lisation en Me´canique (UA CNRS229), Tour 66, 4 place Jussieu, Case 162, F-75252 Paris Ce´dex 05, France
Appl. Mech. Rev. May 1995, 48(5): 213-245 (33 pages)
Published Online: May 1, 1995
Article history
Online:
April 29, 2009
Citation
Maugin, G. A. (May 1, 1995). "Material Forces: Concepts and Applications." ASME. Appl. Mech. Rev. May 1995; 48(5): 213–245. https://doi.org/10.1115/1.3005101
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