PSEUDOMOMENTUM AND MATERIAL FORCES IN INHOMOGENEOUS MATERIALS - (APPLICATION TO THE FRACTURE OF ELECTROMAGNETIC MATERIALS IN ELECTROMAGNETOELASTIC FIELDS)

被引:21
作者
MAUGIN, GA
EPSTEIN, M
TRIMARCO, C
机构
[1] UNIV CALGARY,DEPT MECH ENGN,CALGARY T2N 1N4,ALBERTA,CANADA
[2] UNIV PISA,DIPARTIMENTO MATEMATICHE APPLICATE U DINI,I-56100 PISA,ITALY
关键词
D O I
10.1016/0020-7683(92)90180-2
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The balance of pseudomomentum (covariant material, canonical momentum) is established in different ways for both pure finite-strain anisotropic elasticity and electromagnetoelasticity in the Galilean approximation for materially inhomogeneous solids. This balance law relates pseudomomentum, Eshelby's energy-momentum tensor, and the material inhomogeneity force. The relationship with the Hamiltonian canonical formulation of finite-strain elasticity is outlined and consequences for the evaluation of energy release rate via path-independent integrals in electro- or magnetoelasticity are drawn. This work, of a fairly general nature, builds on the pioneering results of the Stanford group around G. Herrmann.
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页码:1889 / 1900
页数:12
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