Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch

摘要: Abstract The computational micro-to-macro transition framework couples heterogeneities on the microscopic scale to macroscopic response of a continuum. objective here is apply this material layers capable undergoing an in-plane stretch in addition normal opening mode. This achieved using continuum interface theory Gurtin and Murdoch (1975) which endows with its own energetic structure. relation kinematic descriptors deformation averaged underlying quantities consistently derived Hill-type averaging theorem. Key features are elucidated series three-dimensional numerical examples.