Non-local energetics of random heterogeneous lattices
From MaRDI portal
Publication:361406
DOI10.1016/j.jmps.2011.03.006zbMath1270.74056arXiv1003.3248OpenAlexW2138422644MaRDI QIDQ361406
Ron H. J. Peerlings, Marc G. D. Geers, Zeman, J.
Publication date: 29 August 2013
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.3248
energy methodsstructuresinhomogeneous materialHashin-Shtrikman-Willis variational principlesprobability and statistics
Bounds on effective properties in solid mechanics (74Q20) Random structure in solid mechanics (74E35)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complete-damage evolution based on energies and stresses
- Complete damage in elastic and viscoelastic media and its energetics
- Hashin-Shtrikman based FE analysis of the elastic behaviour of finite random composite bodies
- Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity
- Interaction between cracking, delamination and buckling in brittle elastic thin films
- Confinement-shear lattice CSL model for fracture propagation in concrete
- The energy of some microscopic stochastic lattices
- Overall properties of a discrete membrane with randomly distributed defects
- Meso-scale approach to modelling the fracture process zone of concrete subjected to uniaxial tension
- Quasi-continuum orbital-free density-functional theory: a route to multi-million atom non-periodic DFT calculation
- A complete-damage problem at small strains
- The Boolean quadratic polytope: Some characteristics, facets and relatives
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- A reappraisal of nonlocal mechanics
- Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models
- On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
- Modelling paper as a two-dimensional elastic--plastic stochastic network.
- A framework for micro-macro transitions in periodic particle aggregates of granular materials.
- From molecular models to continuum mechanics
- Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice
- New estimates of overall properties of heterogeneous solids
- Optimal \(G\)-closure bounds via stability under lamination
- Mechanics of cellular and other low-density materials
- Stochastic homogenization and random lattices
- Stochastic modeling of multi-filament yarns. I: Random properties within the cross-section and size effect
- Stochastic modeling of multi-filament yarns. II: Random properties over the length and size effect
- FE analysis of stress and strain fields in finite random composite bodies
- Continuum limit for three-dimensional mass-spring networks and discrete Korn's inequality
- Mathematical derivation of a rubber-like stored energy functional
- Statistical damage theory of 2D lattices: energetics and physical foundations of damage parameter
- Bounds on the effective behaviour of a square conducting lattice
- Nonlocal Continuum Field Theories
- Microstructural Randomness Versus Representative Volume Element in Thermomechanics
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- Variational and Related Methods for the Overall Properties of Composites
- A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth
- Continuum Limits of Discrete Systems without Convexity Hypotheses
- Cosserat modelling of elastic periodic lattice structures
- HOMOGENIZATION OF MATERIALS WITH PERIODIC TRUSS OR FRAME MICRO-STRUCTURES
- Necessary and sufficient conditions for the two-point phase probability function of two-phase random media
- Atomistic to Continuum limits for computational materials science
- Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics
- Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids
- Random fiber networks and special elastic orthotropy of paper
- Random heterogeneous materials. Microstructure and macroscopic properties
