Interfacial operators in the mechanics of composite media

作者: R. Hill

DOI: 10.1016/0022-5096(83)90004-2

关键词: Decomposition (computer science)Composite mediaClassification of discontinuitiesAnisotropyMathematical analysisMathematicsDevelopment (differential geometry)Algebra over a field

摘要: Abstract S tress discontinuities in composite media can be treated systematically by splitting second-rank tensors at an interface into exterior and interior parts. With anisotropic response the decomposition needs support appropriate algebra of fourth-rank interfacial operators. This topic is reviewed here some fresh standpoints are proposed. These lead to a reorganization its further development. The main new application elastoplastic composites whose subject normality flow-rule. Contact also made with existing theories incipient hyperbolic states plastic deformation.

参考文章(3)
R. Hill, Acceleration waves in solids Journal of the Mechanics and Physics of Solids. ,vol. 10, pp. 1- 16 ,(1962) , 10.1016/0022-5096(62)90024-8
N. Laws, On interfacial discontinuities in elastic composites Journal of Elasticity. ,vol. 5, pp. 227- 235 ,(1975) , 10.1007/BF00126987