Novel boundary conditions for strain localization analyses in microstructural volume elements

By E. Coenen, V. Kouznetsova, Mgd Marc Geers. 2012

141 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/751170c694c66a742b4996b9ac28d35bb25a094f

How researchers see this paper

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

In Mechanics of Materials

Citations in the corpus

Multi‐scale computational homogenization–localization for propagating discontinuities using X‐FEM (2015, methodology): “For the subsequent increments, N and S are updated at each increment according to the direction of the current strain percolation path, which is calculated through the Hough transform ([44, 51]).”
Regularization of first order computational homogenization for multiscale analysis of masonry structures (2015, methodology): “A study on this topic has been done in [13], where a novel boundary condition has been proposed, using the concept of rotating periodicity to avoid costraining the crack propagation orientation.”
Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, background): “The same authors propose a new type of boundary condition at the micro-scale to improve capture the developing localization bands [13].”
Computational homogenization of cellular materials (2014, background): “For problems involving localization at the micro–scale, the boundary condition should be reformulated to account for this localization direction [43].”
Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, methodology): “In [19,20] a second-order framework has been adapted to model material failure, with classical boundary conditions partially modified to account for strain localization, but without a strict direct relation between the macro-scale strain and the localized strain.”