Strain gradient theory with couple stress for crystalline solids

DOI10.1016/S0997-7538(01)01168-8zbMath1055.74012OpenAlexW2007026833MaRDI QIDQ5949078

Tzu Chiang Wang, Shaohua Chen

Publication date: 2001

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7538(01)01168-8

zbMATH Keywords

hardening lawmetallic wire torsionrotational degrees of freedom

Mathematics Subject Classification ID

Crystalline structure (74E15) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (20)

Micromorphic continua: non-redundant formulations ⋮ Mixed convolved Lagrange multiplier variational formulation for size-dependent elastodynamic couple stress response ⋮ Dual Eshelby stress tensors and related integrals in micropolar elasticity with body forces and couples ⋮ A new finite element method for strain gradient theories and applications to fracture analyses ⋮ Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models ⋮ Dynamic modeling and vibration analysis of double-layered multi-phase porous nanocrystalline silicon nanoplate systems ⋮ Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity ⋮ Formulation of Toupin-Mindlin strain gradient theory in prolate and oblate spheroidal coordinates ⋮ Coupling effect of strain gradient strengthening and thermal softening on the microscale plastic behavior of metallic materials ⋮ Deformation of beams in the grade consistent theory of microstretch elastic solids ⋮ Propagation of SH-waves in couple stress elastic half space underlying an elastic layer ⋮ Mixed displacement and couple stress finite element method for anisotropic centrosymmetric materials ⋮ Mixed Lagrangian formulation for size-dependent couple stress elastodynamic response ⋮ A piezoelectric constitutive theory with rotation gradient effects ⋮ Size effect in micro-scale cantilever beam bending ⋮ A new analytical solution of pure bending beam in couple stress elasto-plasticity: theory and applications ⋮ Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation ⋮ Elastic response of surface-loaded half plane with influence of surface and couple stresses ⋮ A strain gradient theory of thermo-microstretch elastic solids ⋮ Influence of surface and couple stresses on response of elastic substrate under tilted flat indenter

Cites Work

• Unnamed Item
• Unnamed Item
• Elastic materials with couple-stresses
• The influence of microstructure-induced gradients on the localization of deformation in viscoplastic materials
• A phenomenological theory for strain gradient effects in plasticity
• Some general results in the theory of crystallographic slip
• The role of strain gradients in the grain size effect for polycrystals.
• Mechanism-based strain gradient plasticity. I: Theory
• A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals
• Elastic-plastic continua with simple force dipole
• A strain gradient theory of plasticity
• Micro-structure in linear elasticity
• A dynamical theory of structures solids. I Basic developments
• A dynamical theory of structures solids. II Special constitutive equations and special cases of the theory
• Das Cosserat Kontinuum

This page was built for publication: Strain gradient theory with couple stress for crystalline solids