Constitutive models for porous materials with evolving microstructure
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Publication:1340780
DOI10.1016/0022-5096(94)90005-1zbMath0823.73004OpenAlexW2065799329MaRDI QIDQ1340780
M. Zaidman, Pedro Ponte Castañeda
Publication date: 30 October 1995
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-5096(94)90005-1
Inhomogeneity in solid mechanics (74E05) Micromechanics of solids (74M25) Micromechanical theories (74A60) Theory of constitutive functions in solid mechanics (74A20)
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Cites Work
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- Suspension of solid particles in a Newtonian fluid
- The effective mechanical properties of nonlinear isotropic composites
- On methods for bounding the overall properties of nonlinear composites
- A variational approach to the theory of the elastic behaviour of multiphase materials
- On bounds for the overall potential of power law materials containing voids with an arbitrary shape
- The constitutive law of nonlinear viscous and porous materials
- New variational principles in plasticity and their application to composite materials
- Some simple explicit bounds for the overall behaviour of nonlinear composites
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Approximate models for ductile metals containing non-spherical voids -- case of axisymmetric prolate ellipsoidal cavities
- Continuum micro-mechanics of elastoplastic polycrystals
- On the overall elastic moduli of composite materials
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- The Overall Elastic Response of Composite Materials
- Variational Principles for Inhomogeneous Non-linear Media
- On the overall properties of nonlinearly viscous composites
- Variational and Related Methods for the Overall Properties of Composites
- On the homogenized yield strength of two-phase composites
- The finite deformation of an inhomogeneity in two-dimensional slow viscous incompressible flow
- Extremum principles for slow viscous flows with applications to suspensions
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