Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates
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Publication:731095
DOI10.1016/j.jmps.2008.03.004zbMath1171.74407OpenAlexW2080936640WikidataQ95142131 ScholiaQ95142131MaRDI QIDQ731095
Publication date: 1 October 2009
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmps.2008.03.004
Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Explicit solutions of equilibrium problems in solid mechanics (74G05)
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Cites Work
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- The effective mechanical properties of nonlinear isotropic composites
- Optimization of structural topology in the high-porosity regime
- Second-order theory for nonlinear composites and application to isotropic constituents
- Homogenization and optimal bounds in linear elasticity
- Homogenization and effective moduli of materials and media. (Proceedings of a Workshop which was an integral part of the 1984-85 IMA program on Continuum Physics and Partial Differential Equations, University of Minnesota, Minneapolis)
- A variational approach to the theory of the elastic behaviour of multiphase materials
- The Hamilton-Jacobi equation. A global approach
- On the ductility of laminated materials
- Some simple explicit bounds for the overall behaviour of nonlinear composites
- A study of the differential scheme for composite materials
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Periodic solutions and homogenization of non linear variational problems
- Overall potentials and extremal surfaces of power law or ideally plastic composites
- Exact results and approximate models for porous viscoplastic solids
- The effect of spatial distribution on the effective behavior of composite materials and cracked media
- 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
- High-rank nonlinear sequentially laminated composites and their possible tendency towards isotropic behavior.
- Effective properties of composite materials with periodic microstructure: A computational approach
- Transversely isotropic sequentially laminated composites in finite elasticity
- On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory
- 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
- Nonlinear sequential laminates reproducing hollow sphere assemblages
- Elastic properties of reinforced solids: Some theoretical principles
- The Overall Elastic Response of Composite Materials
- The Structure of Overall Constitutive Relations for a Class of Nonlinear Composites
- Variational Principles for Inhomogeneous Non-linear Media
- Optimal Bounds and Microgeometries for Elastic Two-Phase Composites
- On the overall properties of nonlinearly viscous composites
- Central Schemes for Multidimensional Hamilton--Jacobi Equations
- Bounds and estimates for the properties of nonlinear heterogeneous systems
- Upper and lower bounds for the overall properties of a nonlinear composite dielectric. I. Random microgeometry
- REITERATED HOMOGENIZATION OF INTEGRAL FUNCTIONALS
- Field statistics in nonlinear composites. II. Applications
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