On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. II: Application to cylindrical fibers
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Publication:2456883
DOI10.1016/j.jmps.2005.10.010zbMath1120.74727OpenAlexW1994938173MaRDI QIDQ2456883
Oscar Lopez-Pamies, Pedro Ponte Castañeda
Publication date: 29 October 2007
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.2005.10.010
Nonlinear elasticity (74B20) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05)
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Cites Work
- Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Extremum principles in non-linear elasticity and their application to composites - I
- Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory
- Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations
- A second-order homogenization method in finite elasticity and applications to black-filled elastomers
- On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory
- On the definition of elastic moduli
- Second-Order Homogenization Estimates Incorporating Field Fluctuations in Finite Elasticity
- The overall constitutive behaviour of nonlinearly elastic composites
- On the theory of plane strain in finitely deformed compressible materials
- Variational and Related Methods for the Overall Properties of Composites
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