Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals

By C. Miehé, J. Schotté, M. Lambrecht. 2002

270 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, methodology): “[113,295–298], or by using a Fourier series approach on a regular grid [299,300].”
Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, methodology): “The use of RVE-based theories in situations of practical interest relies almost exclusively on techniques of computational homogenization, based on finite element methods [30,57,64,77,78,79,80,81,82, 93,115,121].”
A model-reduction approach in micromechanics of materials preserving the variational structure of constitutive relations (2016, unknown): “Then the incremental variational principle for composites with standard phases (Ortiz and Stainier, 1999; Miehe et al., 2002; Lahellec and Suquet, 2007a), combining the free-energy and the dissipation potential of the phases, is presented in section 3.”
On the effective behavior of nonlinear inelastic composites: I. Incremental variational principles (2007, background): “The importance of these more recent variational principles in homogenization of nonlinear materials has also been recognized by Miehe (2002) and Miehe et al. (2002) who made several computational applications of these principles to finite strain plasticity of composites or polycrystals with…”