Implementation of the transformation field analysis for inelastic composite materials
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Publication:1338234
DOI10.1007/BF00370073zbMath0835.73038MaRDI QIDQ1338234
George J. Dvorak, A. M. Wafa, Yehia A. Bahei-El-Din
Publication date: 28 April 1996
Published in: Computational Mechanics (Search for Journal in Brave)
eigenstraineigenstresseffective modulusadditive decomposition of small total strainsmechanical response of compositetransformation influence functions
Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Dynamical problems in solid mechanics (74H99) Dynamical problems in solid mechanics (74Hxx)
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Cites Work
- Bounds on overall instantaneous properties of elastic-plastic composites
- Elastic properties of reinforced solids: Some theoretical principles
- On uniform fields in heterogeneous media
- Substepping schemes for the numerical integration of elastoplastic stress–strain relations
- A Theory of Multiaxial Anisotropic Viscoplasticity
- On transformation strains and uniform fields in multiphase elastic media
- Transformation field analysis of inelastic composite materials
- The Influence of Inclusion Shape on the Overall Viscoelastic Behavior of Composites
- Plastic Internal Variables Formalism of Cyclic Plasticity