A new variational estimate for the effective response of hyperelastic composites
From MaRDI portal
Publication:442007
DOI10.1016/j.jmps.2010.02.003zbMath1244.74112OpenAlexW2087720435WikidataQ59713140 ScholiaQ59713140MaRDI QIDQ442007
Publication date: 8 August 2012
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.2010.02.003
Nonlinear elasticity (74B20) Composite and mixture properties (74E30) Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items
Cavitation in elastomeric solids. I: A defect-growth theory ⋮ Instabilities of hyperelastic fiber composites: micromechanical versus numerical analyses ⋮ Soft elastic composites: microstructure evolution, instabilities and relaxed response by domain formation ⋮ Uncertainty quantification in computational stochastic multiscale analysis of nonlinear elastic materials ⋮ Finite bending of hyperelastic beams with transverse isotropy generated by longitudinal porosity
Cites Work
- Unnamed Item
- Unnamed Item
- A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
- Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation
- Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
- Out-of-plane shear of fiber composites at moderate stretch levels
- Multiscale modeling of oriented thermoplastic elastomers with lamellar morphology
- The effective mechanical properties of nonlinear isotropic composites
- A general hyperelastic model for incompressible fiber-reinforced elastomers
- Mechanical response of neo-Hookean fiber-reinforced incompressible nonlinearly elastic solids
- Mechanics of composites with two families of finitely extensible fibers undergoing large deformations
- An exact result for the macroscopic response of porous neo-Hookean solids
- Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. II: Results
- Large isotropic elastic deformation of composites and porous media
- New variational principles in plasticity and their application to composite materials
- On the overall moduli of non-linear elastic composite materials
- Extremum principles in non-linear elasticity and their application to composites - I
- Elastoplastic constitutive relations for fiber-reinforced solids
- Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres
- Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory
- A second-order homogenization method in finite elasticity and applications to black-filled elastomers
- Out-of-plane shear deformation of a neo-Hookean fiber composite
- Exact results for the homogenization of elastic fiber-reinforced solids at finite strain
- Transversely isotropic sequentially laminated composites in finite elasticity
- Neo-Hookean fiber-reinforced composites in finite elasticity
- On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory
- On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. II: Application to cylindrical fibers
- A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus
- Physically based invariants for nonlinear elastic orthotropic solids
- Azimuthal Shear of a Transversely Isotropic Elastic Solid
- The overall constitutive behaviour of nonlinearly elastic composites
- The mechanics of rubber elasticity
- Plane deformations of elastic solids with intrinsic boundary elasticity
- Elastic Potentials and the Structure of Inelastic Constitutive Laws
- On constitutive macro-variables for heterogeneous solids at finite strain
- A new constitutive framework for arterial wall mechanics and a comparative study of material models
