Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model
DOI10.1007/s00466-022-02142-5zbMath1505.74186OpenAlexW4210992060WikidataQ113326534 ScholiaQ113326534MaRDI QIDQ2150233
Alexander Schwarz, Jörg Schröder, Oliver Rheinbach, Simon Maike, Matthias Brändel, Dominik Brands, Dietrich Stoyan
Publication date: 27 June 2022
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-022-02142-5
homogenizationparameter identificationrepresentative volume elementneo-Hookean materialstress recoveryequilibrium gap methodlinear finite element methodfinite strain elasticity
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Effective constitutive equations in solid mechanics (74Q15) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elastic behavior of composites containing Boolean random sets of inhomogeneities
- Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: exact solutions and dilute expansions
- The effective mechanical properties of nonlinear isotropic composites
- Multiscale methods for composites: A review
- On the size of RVE in finite elasticity of random composites
- A numerical method for homogenization in nonlinear elasticity
- Effective behaviour of elastic heterogeneous thin structures at finite deformations
- A variational approach to the theory of the elastic behaviour of multiphase materials
- New variational principles in plasticity and their application to composite materials
- Bounds for effective elastic moduli of disordered materials
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Hill condition and overall properties of composites
- Random field models of heterogeneous materials
- Continuum micromechanics
- The finite deformation of nonlinear composite materials. I. Instantaneous constitutive relations. II: Evolution of the microstructure
- Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
- Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations
- An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals
- A second-order homogenization method in finite elasticity and applications to black-filled elastomers
- Efficient and accurate two-scale FE-FFT-based prediction of the effective material behavior of elasto-viscoplastic polycrystals
- A probabilistic approach to the numerical homogenization of irregular solid foams in the finite-strain regime
- Power laws variance scaling of Boolean random varieties
- Determination of RVE size for random composites with local volume fraction variation
- Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
- Elastic properties of reinforced solids: Some theoretical principles
- Computational homogenization with million-way parallelism using domain decomposition methods
- Aspects of the computational testing of the mechanical properties of microheterogeneous material samples
- Automation of Finite Element Methods
- Second-Order Homogenization Estimates Incorporating Field Fluctuations in Finite Elasticity
- A non-concurrent multiscale method for computing the response of hyperelastic heterogeneous structures
- Aspects of computational homogenisation of microheterogeneous materials including decohesion at finite strains
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Analysis of Composite Materials—A Survey
- Mesoscale bounds in finite elasticity and thermoelasticity of random composites
- Analysis of Properties of Fiber Composites With Anisotropic Constituents
- FFT‐based homogenization for microstructures discretized by linear hexahedral elements
- A numerical two-scale homogenization scheme: the FE2-method
- Morphological Models of Random Structures
- A finite element formulation to identify damage fields: the equilibrium gap method
- Variational linear comparison bounds for nonlinear composites with anisotropic phases. I. General results
- ANISOTROPIC ELASTIC INCLUSION PROBLEMS
- Elastic properties of hybrid composites by the effective field approach.
This page was built for publication: Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model
