Morphologically representative pattern-based bounding in elasticity

摘要: Abstract A general theory for the homogenization of heterogeneous linear elastic materials that relies on concept “morphologically representative pattern” is given. It allows derivation rigorous bounds effective behaviour Voigt-Reuss-type, which apply to any distribution patterns, or Hashin-Shtrikman-type, are restricted whose pattern distributions isotropic. Particular anisotropic patterns can also be considered: Hashin-Shtrikman-type media then generated. The resolution problem leads a complex composite inclusion with no analytical solution in case. Here it solved by numerical procedure based finite element method. As an example possible application, this used derive new matrix-inclusion composites cubic symmetry as well transversely isotropic materials.