Hyperelastic homogenized law for reinforced elastomer at finite strain with edge effects
From MaRDI portal
Publication:1271630
DOI10.1007/BF01176742zbMath0916.73028OpenAlexW2331491419MaRDI QIDQ1271630
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
asymptotic solutionboundary layersneo-Hookean materialperiodic compositesperiodically stratified compositesstatic microstructural effectssteel/elastomer composite
Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30)
Related Items (10)
A uniform framework for the dynamic behavior of linearized anisotropic elastic rods ⋮ Analytical and numerical investigation of failure of ellipticity for a class of hyperelastic laminates ⋮ Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation ⋮ Anisotropic large deformation of geometrically architectured unfilled silicone membranes ⋮ A clustering-enhanced potential-based reduced order homogenization framework for nonlinear heterogeneous materials ⋮ Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach ⋮ Effective equations governing an active poroelastic medium ⋮ Overall properties of thin hyperelastic plate at finite strain with edge effects using asymptotic method ⋮ Nonlinearly elastic membrane model for heterogeneous shells by using a new double scale variational formulation: A formal asymptotic approach ⋮ Derivation of a Hierarchy of Nonlinear Two-dimensional Models For Heterogeneous Plates
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
This page was built for publication: Hyperelastic homogenized law for reinforced elastomer at finite strain with edge effects