Homogenization in finite thermoelasticity

摘要: Abstract A homogenization framework is developed for the finite thermoelasticity analysis of heterogeneous media. The approach based on appropriate identifications macroscopic density, internal energy, entropy and thermal dissipation. Thermodynamical consistency that ensures standard relationships among various quantities enforced through explicit enforcement temperature all evaluations dependent microscale functionals. This induces a theoretical split accompanying micromechanical boundary value problem into two phases where mechanical phase imposes deformation test sample while subsequent purely resulting deformed configuration gradient. In addition to consistently recovering scale transition criteria within this framework, supplementary dissipation criterion proposed alternative gradient heat flux. order complete macroscale implementation overall methodology, methods determining constitutive tangents associated with primary variables are discussed. Aspects demonstrated by numerical investigations model microstructures.