Novel formulations of microscopic boundary-value problems in continuous multiscale finite element methods

DOI10.1016/j.cma.2014.12.021zbMath1423.74797OpenAlexW2031325026MaRDI QIDQ1798889

Brian S. Mercer, Kranthi K. Mandadapu, Panayiotis Papadopoulos

Publication date: 23 October 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.12.021

zbMATH Keywords

finite element methodhomogenizationmultiscaleHill-Mandel conditionRVE boundary conditionsIrving-Kirkwood procedure

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (9)

Unified treatment of microscopic boundary conditions and efficient algorithms for estimating tangent operators of the homogenized behavior in the computational homogenization method ⋮ Computational homogenization of nano‐materials accounting for size effects via surface elasticity ⋮ A new homogenization scheme for beam and plate structures without a priori requirements on boundary conditions ⋮ A variational RVE-based multiscale poromechanical formulation applied to soft biological tissues under large deformations ⋮ Systematic study of homogenization and the utility of circular simplified representative volume element ⋮ Computational homogenisation of thermo-viscoplastic composites: large strain formulation and weak micro-periodicity ⋮ Computational homogenisation for thermoviscoplasticity: application to thermally sprayed coatings ⋮ Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity ⋮ On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization

Uses Software

• FEAP

Cites Work

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