Hyperelastic homogenized law for reinforced elastomer at finite strain with edge effects

DOI10.1007/BF01176742zbMath0916.73028OpenAlexW2331491419MaRDI QIDQ1271630

Erick Pruchnicki

Publication date: 7 July 1999

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176742

zbMATH Keywords

asymptotic solutionboundary layersneo-Hookean materialperiodic compositesperiodically stratified compositesstatic microstructural effectssteel/elastomer composite

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30)

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Cites Work

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• Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method
• Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
• Elastic-plastic composites at finite strains
• New variational-asymptotic formulations for interlaminar stress analysis in laminated plates
• Homogenization of nonconvex integral functionals and cellular elastic materials
• Non-homogeneous media and vibration theory
• Yield conditions for layered composites
• Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
• Homogenized nonlinear constitutive properties and local stress concentrations for composites with periodic internal structure
• Local and overall extremal properties of time-independent materials and non-linear elastic comparison materials
• Extremum principles in non-linear elasticity and their application to composites - I
• Homogenized nonlinear constitutive law using Fourier series expansion
• Microstructural effects in elastic composites
• On macroscopic effects of heterogeneity in elastoplastic media at finite strain
• On effective moduli of an elastic body containing periodically distributed voids
• Homogenization and damage for composite structures
• On the Comparison Between Microscopic and Macroscopic Instability Mechanisms in a Class of Fiber-Reinforced Composites
• Study of a boundary layer problem in elastic composite materials
• The overall constitutive behaviour of nonlinearly elastic composites
• Finite elements with penalties in nonlinear elasticity
• A finite element method for the analysis of rubber parts, experimental and analytical assessment
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• A macroscopic elastoplastic constitutive law for multilayered media: Application to reinforced earth material
• Elastic Potentials and the Structure of Inelastic Constitutive Laws
• On constitutive macro-variables for heterogeneous solids at finite strain
• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids

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