A method to transform a nonlocal model into a gradient one within elasticity and plasticity

DOI10.1016/J.EUROMECHSOL.2014.01.004zbMath1406.74128OpenAlexW2011036834MaRDI QIDQ1669413

Castrenze Polizzotto, Guido Borino

Publication date: 3 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2014.01.004

zbMATH Keywords

higher order boundary conditionsnonlocal and gradient elasticitynonlocal and gradient plasticity

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Nonlinear elasticity (74B20) Nonsimple materials (74A30)

Related Items (3)

A unifying variational framework for stress gradient and strain gradient elasticity theories ⋮ Plane stress problems in nonlocal elasticity: finite element solutions with a strain-difference-based formulation ⋮ Elastic waves in periodically heterogeneous two-dimensional media: locally periodic and anti-periodic modes

Cites Work

• A thermodynamically motivated implicit gradient damage framework and its application to brick masonry cracking
• Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
• The method of virtual power in continuum mechanics: Application to coupled fields
• A variational principle for gradient plasticity
• On the role of gradients in the localization of deformation and fracture
• A continuum theory of elastic material surfaces
• Surface stress in solids
• A simple approach to solve boundary-value problems in gradient elasticity
• A unified treatment of strain gradient plasticity
• The physics of plastic deformation
• Nonlocal implicit gradient-enhanced elasto-plasticity for the modelling of softening behaviour.
• Elastoviscoplastic constitutive frameworks for generalized continua
• A nonhomogeneous nonlocal elasticity model
• A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
• On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
• On first strain-gradient theories in linear elasticity
• Linear theory of nonlocal elasticity and dispersion of plane waves
• A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin
• Nonlocal Continuum Field Theories
• A reformulation of strain gradient plasticity.

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