On classical continuum mechanics, two-scale continua, and plasticity
type: Item
instance of: scholarly article
title: On classical continuum mechanics, two-scale continua, and plasticity
zbMATH Open document ID: 1456.74007
author: Gianpietro Del Piero
published in: Mathematics and Mechanics of Complex Systems
publication date: 2021-01-14T00:00:00Z
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74A05
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 7294477
zbMATH Keywords: reference frame
zbMATH Keywords: gradient plasticity
zbMATH Keywords: nonlocal flow rule
zbMATH Keywords: energy formulation
MaRDI profile type: Publication
full work available at URL: memocs.2020.8.201
OpenAlex ID: W3081682262
cites work: Second-order structured deformations: relaxation, integral representation and applications
cites work: Bulk and interfacial energy densities for structured deformations of continua
cites work: The thermodynamics of elastic materials with heat conduction and viscosity
cites work: The Energy of a One-Dimensional Structured Deformation
cites work: Nonclassical continua, pseudobalance, and the law of action and reaction
cites work: An axiomatic framework for the mechanics of generalized continua
cites work: On the decomposition of the deformation gradient in plasticity
cites work: The variational structure of classical plasticity
cites work: ``Reality'' and representation in mechanics: the legacy of Walter Noll
cites work: A mechanical model for heat conduction
cites work: Structured deformations of continua
cites work: Integral-gradient formulae for structured deformations
cites work: A phenomenological theory for strain gradient effects in plasticity
cites work: A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier
cites work: A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier
cites work: Q5677120
cites work: The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
cites work: Continuum Thermodynamics
cites work: The mechanics of non-linear materials with memory
cites work: A unified treatment of strain gradient plasticity
cites work: An introduction to continuum mechanics
cites work: A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations
cites work: Cauchy's theorem in classical physics
cites work: A continuum theory of elastic material surfaces
cites work: On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
cites work: Q4066699
cites work: Physical Foundations of Continuum Mechanics
cites work: Lectures on the foundation of continuum mechanics and thermodynamics
cites work: On the past and future of natural philosophy
cites work: Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\)
cites work: Q4897359
cites work: Q5510245
cites work: Cauchy's stress theorem for stresses represented by measures
cites work: The general form of the relaxation of a purely interfacial energy for structured deformations
cites work: Q5725315
DOI: 10.2140/MEMOCS.2020.8.201
description: scientific article; zbMATH DE number 7294477