Second-order multi-scale modelling of natural and architected materials in the presence of voids: formulation and numerical implementation
From MaRDI portal
Publication:6062475
DOI10.1016/j.cma.2023.116374MaRDI QIDQ6062475
Wanderson Ferreira dos Santos, Igor A. Rodrigues Lopes, Francisco M. Andrade Pires, S. P. B. Proença
Publication date: 6 November 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
finite strainsporous solidsmulti-scale approachsecond gradient continuummethod of multi-scale virtual powersecond-order computational homogenisation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational foundations and generalized unified theory of RVE-based multiscale models
- Minimal loading conditions for higher-order numerical homogenisation schemes. Cauchy, second gradient and micromorphic substitute media.
- A second gradient theoretical framework for hierarchical multiscale modeling of materials
- Multi-scale computational homogenization: trends and challenges
- A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
- \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
- Multi-scale modelling of arterial tissue: linking networks of fibres to continua
- Formulation and numerical implementation of a variationally consistent multi-scale model based on second-order computational homogenisation at finite strains for quasi-static problems
- A kinematically consistent second-order computational homogenisation framework for thick shell models
- On the efficient enforcement of uniform traction and mortar periodic boundary conditions in computational homogenisation
- An adaptive sub-incremental strategy for the solution of homogenization-based multi-scale problems
- Multiscale computational homogenization methods with a gradient enhanced scheme based on the discontinuous Galerkin formulation
- Nonlinear theory of simple micro-elastic solids. I
- Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
- A second-order homogenization procedure for multi-scale analysis based on micropolar kinematics
- Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- Homogenization methods and mechanics of generalized continua - part 2
- Novel multiscale models in a multicontinuum approach to divide and conquer strategies
This page was built for publication: Second-order multi-scale modelling of natural and architected materials in the presence of voids: formulation and numerical implementation
