An adaptive method for homogenization in orthotropic nonlinear elasticity
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Publication:1033262
DOI10.1016/j.cma.2007.03.017zbMath1173.74378OpenAlexW2094100483WikidataQ64017374 ScholiaQ64017374MaRDI QIDQ1033262
Publication date: 6 November 2009
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2007.03.017
Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Homogenization in equilibrium problems of solid mechanics (74Q05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Introduction to computational micromechanics
- A numerical method for homogenization in nonlinear elasticity
- Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
- Nonlinear material parameter estimation for characterizing hyperelastic large strain models
- Appropriate number of unit cells in a representative volume element for micro-structural bifurcation encountered in a multi-scale modeling
- Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
- An excursion into large rotations
- Computational micro-to-macro transitions of discretized microstructures undergoing small strains
- Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction.
- Fitting hyperelastic models to experimental data
- An approach to nonlinear programming
- Elastic Potentials and the Structure of Inelastic Constitutive Laws
- Numerical homogenization of periodic composite materials with non-linear material components
- On constitutive macro-variables for heterogeneous solids at finite strain
- An approach to micro-macro modeling of heterogeneous materials
- A multi-level computational model for multi-scale damage analysis in composite and porous materials