A set of enhanced formulations for existing nonlinear homogenization schemes and their evaluation
From MaRDI portal
Publication:1669535
DOI10.1016/j.euromechsol.2014.10.001zbMath1406.74565OpenAlexW2036134414MaRDI QIDQ1669535
Amna Rekik, Michel Bornert, François Auslender
Publication date: 3 September 2018
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2014.10.001
Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the `isotropic' and `anisotropic' approximations of the tangent operator in the incremental tangent and affine methods
- Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles
- The effective mechanical properties of nonlinear isotropic composites
- New bounds and estimates for porous media with rigid perfectly plastic matrix
- Yield criteria for porous media in plane strain: second-order estimates versus numerical results
- Second-order theory for nonlinear composites and application to isotropic constituents
- A methodology for an accurate evaluation of the linearization procedures in nonlinear mean field homogenization
- An extension of the self-consistent scheme to plastically-flowing polycrystals
- Exact results and approximate models for porous viscoplastic solids
- Intraphase strain heterogeneity in nonlinear composites: A computational approach
- Field fluctuations and macroscopic properties for nonlinear composites
- Exact second-order estimates for the effective mechanical properties of nonlinear composite materials.
- Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory
- Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications
- Effective properties of composite materials with periodic microstructure: A computational approach
- An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals
- Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations
- Objective evaluation of linearization procedures in nonlinear homogenization: A methodology and some implications on the accuracy of micromechanical schemes
- A homogenization-based constitutive model for two-dimensional viscoplastic porous media
- Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids
- Homogenization for Nonlinear Composites in the Light of Numerical Simulations
- Second–order estimates of the self–consistent type for viscoplastic polycrystals
- A modified affine theory for the overall properties of nonlinear composites
- A similarity between the classical and modified secant extensions of the self-consistent model
- Field statistics in nonlinear composites. I. Theory
