The Structure of Overall Constitutive Relations for a Class of Nonlinear Composites
From MaRDI portal
Publication:3471722
DOI10.1093/imamat/43.3.231zbMath0695.73005OpenAlexW1979451775MaRDI QIDQ3471722
Publication date: 1989
Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imamat/43.3.231
nonlinear diffusion problemnonlinear dielectricDual variational principlesnatural dual loading variableoverall energy function
Nonlinear elasticity (74B20) Composite and mixture properties (74E30) Theory of constitutive functions in solid mechanics (74A20)
Related Items
A micromechanical model of elastoplastic and damage behavior of a cohesive geomaterial ⋮ Variational principles and the related bounding theorems for bi-modulus materials ⋮ Bounds for nonlinear composites via iterated homogenization ⋮ Space-charge polarization by confined ion migration in microstructured solid dielectrics ⋮ A model-reduction approach in micromechanics of materials preserving the variational structure of constitutive relations ⋮ Homogenization estimates for multi-scale nonlinear composites ⋮ A symmetric fully optimized second‐order method for nonlinear homogenization ⋮ Non-linear homogenization of Forchheimer law for porous media with cylindrical and spherical impervious inclusions ⋮ Intraphase strain heterogeneity in nonlinear composites: A computational approach ⋮ Effective properties of composite materials with periodic microstructure: A computational approach ⋮ Nonlinear structural design using multiscale topology optimization. Part I: Static formulation ⋮ Computational homogenization in dissipative electro-mechanics of functional materials ⋮ A note on bounds for non-linear multivalued homogenized operators ⋮ The constitutive law of nonlinear viscous and porous materials ⋮ New variational principles in plasticity and their application to composite materials ⋮ On the macroscopic free energy functions for shape memory alloys ⋮ Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates ⋮ Overall potentials and extremal surfaces of power law or ideally plastic composites ⋮ Energy-based comparison between the Fourier-Galerkin method and the finite element method ⋮ Variational estimates for the effective response and field statistics in thermoelastic composites with intra-phase property fluctuations ⋮ Functional methods and effective potentials for nonlinear composites ⋮ A micromechanical approach to damage in viscoplastic materials by evolution in size, shape and distribution of voids ⋮ On the micromechanics theory of Reissner-Mindlin plates ⋮ Improved bounds for the yield stress of a model polycrystalline material ⋮ Variational bounds for the overall properties of piezoelectric composites. ⋮ A multiscale modeling of damage and time-dependent behavior of cohesive rocks ⋮ Effective properties of porous ideally plastic or viscoplastic materials containing rigid particles ⋮ On methods for bounding the overall properties of nonlinear composites ⋮ Stationary variational estimates for the effective response and field fluctuations in nonlinear composites
