Abstract Stress and strain average rules are the key conceptual pillars of wide field continuum micromechanics materials. The aforementioned express that spatial (micro‐)stress (micro‐)strain fields throughout a microscopically finite representative volume element (RVE) equal to (macro‐)stress (macro‐)strain values associated with corresponding macroscopically infinitesimal (macroscopic materia...

A variationally consistent model-based computational homogenization approach for transient chemomechanically coupled problems is developed based on the classical assumption of first-order prolongation displacement, chemical potential, and (ion) concentration fields within a representative volume element (RVE). The presence potential as primary global represents mixed formulation, which has defi...

A soft tissue's macroscopic behavior is largely determined by its microstructural components (often a collagen fiber network surrounded by a nonfibrillar matrix (NFM)). In the present study, a coupled fiber-matrix model was developed to fully quantify the internal stress field within such a tissue and to explore interactions between the collagen fiber network and nonfibrillar matrix (NFM). Voro...

Flow-induced shear stresses have been found to be a stimulatory factor in pre-osteoblastic cells seeded in 3D porous scaffolds and cultured under continuous flow perfusion. However, due to the complex internal structure of the scaffolds, whole scaffold calculations of the local shear forces are computationally-intensive. Instead, representative volume elements (RVEs), which are obtained by extr...

The FE 2 $$ {}^2 computational homogenization method is a predictive multi-scale without the need for constitutive assumptions and/or potential function postulates at macro engineering scale. Instead, effective micro-structural responses are extracted directly from representative volume element (RVE) underlying each point. However, still computationally too expensive most practical uses, since ...

Abstract A modular pipeline for improving the constitutive modelling of composite materials is proposed.The method leveraged here development subject-specific spatially-varying brain white matter mechanical properties. For this application, microstructural information extracted from diffusion magnetic resonance imaging (dMRI) scans, and used to generate hundreds representative volume elements (...

A representative volume element (RVE) based multi-scale method is proposed to investigate the mechanism of fatigue crack propagation by molecular dynamics (MD) and extended finite methods(XFEM) in this study. An atomic model carbon steel plate built study behavior at micro scale MD method. Then RVE for should be fitting data which was obtained from result with Paris law model. Moreover, effect ...