A class of coherent potentials for two-phase creeping solids

DOI10.1007/s00707-021-03036-yzbMath1492.74123OpenAlexW3202324639MaRDI QIDQ2234937

Juan E. Ramos Nervi, Martín I. Idiart

Publication date: 19 October 2021

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-021-03036-y

zbMATH Keywords

thermodynamic potentialvariational representationconvex dissipation potentialmicrostructural disordernonlinear Hamilton-Jacobi equationconstitutive nonlinearity

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Analysis of microstructure in solids (74N15) Theory of constitutive functions in solid mechanics (74A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounds for nonlinear composites via iterated homogenization
• Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles
• Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory
• Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates
• A homogenization-based constitutive model for isotropic viscoplastic porous media
• Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus full-field simulations
• Constitutive models for power-law viscous solids containing spherical voids
• An exact result for the macroscopic response of porous neo-Hookean solids
• A generalized differential effective medium theory
• Homogenization and optimal bounds in linear elasticity
• New variational principles in plasticity and their application to composite materials
• A study of the differential scheme for composite materials
• Finite element solution of the problem of a spherical inhomogeneity in an infinite power-law viscous matrix
• Exact results and approximate models for porous viscoplastic solids
• The finite deformation of nonlinear composite materials. I. Instantaneous constitutive relations. II: Evolution of the microstructure
• Bounds of third order for the overall response of nonlinear composites
• Duality relations, correspondences and numerical results for planar elastic composites
• High-rank nonlinear sequentially laminated composites and their possible tendency towards isotropic behavior.
• The macroscopic behavior of power-law and ideally plastic materials with elliptical distribution of porosity
• A WENO finite-difference scheme for a new class of Hamilton-Jacobi equations in nonlinear solid mechanics
• Transversely isotropic sequentially laminated composites in finite elasticity
• Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations
• Nonlinear sequential laminates reproducing hollow sphere assemblages
• Duality relations for nonlinear incompressible two-dimensional elasticity
• Multiphase Conductors Realizing Aleksandrov's Mean
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The Elastic Moduli of Heterogeneous Materials
• Central Schemes for Multidimensional Hamilton--Jacobi Equations
• The Theory of Composites
• Neutral coated inclusions in conductivity and anti–plane elasticity
• Estimates for two-phase nonlinear conductors via iterated homogenization

This page was built for publication: A class of coherent potentials for two-phase creeping solids