On the size of RVE in finite elasticity of random composites
From MaRDI portal
Publication:859758
DOI10.1007/s10659-006-9076-yzbMath1104.74008OpenAlexW2105067148MaRDI QIDQ859758
Z. F. Khisaeva, Martin Ostoja-Starzewski
Publication date: 18 January 2007
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-006-9076-y
Nonlinear elasticity (74B20) Effective constitutive equations in solid mechanics (74Q15) Random materials and composite materials (74A40)
Related Items (29)
Unified treatment of microscopic boundary conditions and efficient algorithms for estimating tangent operators of the homogenized behavior in the computational homogenization method ⋮ Automatic generation of statistical volume elements using multibody dynamics and an erosion-based homogenization method ⋮ Geometric partitioning schemes to reduce modeling bias in statistical volume elements smaller than the scale of isotropic and homogeneous size limits ⋮ A nonlinear manifold-based reduced order model for multiscale analysis of heterogeneous hyperelastic materials ⋮ Bottom-up modeling of damage in heterogeneous quasi-brittle solids ⋮ Optimal Approximation of the First-Order Corrector in Multiscale Stochastic Elliptic PDE ⋮ Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model ⋮ A microscale second gradient approximation of the damage parameter of quasi-brittle heterogeneous lattices ⋮ Acceleration of the spectral stochastic FEM using POD and element based discrete empirical approximation for a micromechanical model of heterogeneous materials with random geometry ⋮ On periodic boundary conditions and ergodicity in computational homogenization of heterogeneous materials with random microstructure ⋮ A simple way to improved formulation of \(\text{FE}^2\) analysis ⋮ Hierarchically parallel coupled finite strain multiscale solver for modeling heterogeneous layers ⋮ Computational homogenization of nano‐materials accounting for size effects via surface elasticity ⋮ Instabilities of hyperelastic fiber composites: micromechanical versus numerical analyses ⋮ New approximate solution for \(N\)-point correlation functions for heterogeneous materials ⋮ Generalized variability response functions for two-dimensional elasticity problems ⋮ Systematic study of homogenization and the utility of circular simplified representative volume element ⋮ A new equivalent statistical damage constitutive model on rock block mixed up with fluid inclusions ⋮ Thermomechanical multiscale constitutive modeling: accounting for microstructural thermal effects ⋮ Bounds and scaling laws at finite scales in planar elasticity ⋮ Computational homogenisation of thermo-viscoplastic composites: large strain formulation and weak micro-periodicity ⋮ Fast statistical homogenization procedure (FSHP) for particle random composites using virtual element method ⋮ Bounds on size effects in composites via homogenization accounting for general interfaces ⋮ Genesis of the multiscale approach for materials with microstructure ⋮ Finite deformation of incompressible fiber-reinforced elastomers: a computational micromechanics approach ⋮ Functional approximation and projection of stored energy functions in computational homogenization of hyperelastic materials: a probabilistic perspective ⋮ Micro-to-macro transition accounting for general imperfect interfaces ⋮ A random field-based method to estimate convergence of apparent properties in computational homogenization ⋮ Effect of interface fracture on the tensile deformation of fiber-reinforced elastomers
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Periodization of random media and representative volume element size for linear composites
- Random-field model for the elasticity tensor of anisotropic random media
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Variational principles in finite elastostatics
- Extremum principles in non-linear elasticity and their application to composites - I
- On apparent properties of nonlinear heterogeneous bodies smaller than the representative volume
- A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
- Representative volume element size for elastic composites: A numerical study
- Scale effects in plasticity of random media: status and challenges
- Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- A numerical approximation to the elastic properties of sphere-reinforced composites.
- Effective properties of composite materials with periodic microstructure: A computational approach
- Micromechanics-based variational estimates for a higher-order nonlocal constitutive equation and optimal choice of effective moduli for elastic composites
- A probabilistic approach to the numerical homogenization of irregular solid foams in the finite-strain regime
- Fitting hyperelastic models to experimental data
- Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
- Aspects of the computational testing of the mechanical properties of microheterogeneous material samples
- Mesoscale bounds in finite elasticity and thermoelasticity of random composites
- The overall constitutive behaviour of nonlinearly elastic composites
- On constitutive macro-variables for heterogeneous solids at finite strain
- Large elastic deformations of isotropic materials. I. Fundamental concepts
- Random heterogeneous materials. Microstructure and macroscopic properties
This page was built for publication: On the size of RVE in finite elasticity of random composites