Computational homogenization for the multi-scale analysis of multi-phase materials

By V. Kouznetsova. 2002

357 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/da51fc027ba537f94512b84afb97e43fdba5da69

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Statistical volume element method for predicting microstructure–constitutive property relations (2008, background): “The impact of RVE size on the averaged responses and the associated RVE model error have been discussed in [20,21].”
An enhanced multi‐scale approach for masonry wall computations with localization of damage (2007, background): “The damage criteria used for the brick and mortar materials are the same as in Reference [23], namely a maximum principal stress criterion for the brick material and a Drucker–Prager-like criterion with a compressive cap for mortar.”
Computational homogenization of cellular materials (2014, methodology): “Scale transition For the scale transition, the generalized version of Hill–Mandel homogenization principle [13] is satisfied as P̄ : δF̄ + Q̄ .”
FEAP - - A Finite Element Analysis Program (2011, methodology): “where utype(1)=1 for thermal analysis and utype(1)=2 for stress analysis; utype(2)=1 for small deformation and utype(1)=-1 for finite deformation; utext is a character (len=15) array.”
Computational homogenization for heat conduction in heterogeneous solids (2008, background): “The slave processors do not need to communicate with each other and therefore the parallel algorithm turns out to be very effective and simple, see [20, 21] for equivalent mechanical problems.”
Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, background): “The finite element framework necessary for the numerical solution of the macro-scale problem leads to many complications [58], which has restricted its extensive applicability.”
Quantification of the effect of transformation-induced geometrically necessary dislocations on the flow-curve modelling of dual-phase steels (2013, methodology): “The effective macroscopic flow curves of multiphase composites were computed from the numerical tensile test results through a first-order homogenisation strategy, as shown by Kouznetsova (2002).”
A computational library for multiscale modeling of material failure (2013, unknown): “based on the first-order homogenization theory [64,65].”
Multi-scale boundary element modelling of material degradation and fracture (2007, methodology): “In order to be able to use the averaging theorems presented in Section 3, for transferring information through the scales, four types of boundary conditions can be used; these are uniform tractions, uniform displacements, mixed boundary conditions and periodic boundary conditions [7, 36,43,44].”
Computational multiscale modelling of heterogeneous material layers (2009, methodology): “As proposed by Kouznetsova et al. [ 8 ,10] this is accomplished by means of a dependency matrix, which relates the dependent with the independent nodal displacements as”