Towards multi-scale continuum elasticity theory
From MaRDI portal
Publication:735142
DOI10.1007/s00161-008-0075-zzbMath1172.74006OpenAlexW2166873416MaRDI QIDQ735142
L. M. Truskinovskij, Miguel Charlotte
Publication date: 15 October 2009
Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00161-008-0075-z
Crystalline structure (74E15) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99)
Related Items
Effects of structural and material length scales on stress-induced martensite macro-domain patterns in tube configurations ⋮ Multi-field modeling of a Cosserat lattice: models, wave filtering, and boundary effects ⋮ Geometrically nonlinear higher-gradient elasticity with energetic boundaries ⋮ Hyper-pre-stress vs. strain-gradient for surface relaxation in diamond-like structures ⋮ Multiscale mass-spring models of carbon nanotube foams ⋮ Strictly supersonic solitary waves in lattices with second-neighbor interactions ⋮ Unnamed Item ⋮ BOUNDARY LAYER ENERGIES FOR NONCONVEX DISCRETE SYSTEMS ⋮ Exterior diffraction problems for two-dimensional square lattice ⋮ Numerical methods with controlled dissipation for small-scale dependent shocks ⋮ Dynamics of martensitic phase boundaries: Discreteness, dissipation and inertia ⋮ On the statics and dynamics of granular-microstructured rods with higher order effects
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
- A classification of higher-order strain-gradient models --- linear analysis
- Quasicontinuum models of dynamic phase transitions
- Asymptotic expansions by \(\Gamma \)-convergence
- A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies
- Elastic materials with couple-stresses
- Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models
- Unified thermodynamic framework for nonlocal/gradient continuum theories
- Analysis of non-local models through energetic formulations.
- On higher gradients in continuum-atomistic modelling.
- Linear elastic chain with a hyper-pre-stress.
- From molecular models to continuum mechanics
- A dynamic atomistic--continuum method for the simulation of crystalline materials
- Explicit and implicit gradient series in damage mechanics
- Reformulation of elasticity theory for discontinuities and long-range forces
- Continuum limit for three-dimensional mass-spring networks and discrete Korn's inequality
- Dislocations in second strain gradient elasticity
- Mechanics of materials with periodic truss or frame micro-structures
- Continuum approach to discreteness
- The Passage from Discrete to Continuous Variational Problems: a Nonlinear Homogenization Process
- Implicit gradient elasticity
- Convergence Analysis of a Quasi‐Continuum Approximation for a Two‐Dimensional Material Without Defects
- Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids
- A critical comparison of nonlocal and gradient-enhanced softening continua
This page was built for publication: Towards multi-scale continuum elasticity theory
