On classical continuum mechanics, two-scale continua, and plasticity

DOI10.2140/memocs.2020.8.201zbMath1456.74007OpenAlexW3081682262MaRDI QIDQ828037

Gianpietro Del Piero

Publication date: 14 January 2021

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2020.8.201

zbMATH Keywords

reference frameenergy formulationgradient plasticitynonlocal flow rule

Mathematics Subject Classification ID

Kinematics of deformation (74A05) Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20)

Related Items (1)

One-dimensional failure modes for bodies with non-convex plastic energies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\)
• A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier
• Cauchy's stress theorem for stresses represented by measures
• A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier
• The thermodynamics of elastic materials with heat conduction and viscosity
• A continuum theory of elastic material surfaces
• Cauchy's theorem in classical physics
• Structured deformations of continua
• A phenomenological theory for strain gradient effects in plasticity
• Bulk and interfacial energy densities for structured deformations of continua
• On the decomposition of the deformation gradient in plasticity
• An axiomatic framework for the mechanics of generalized continua
• A unified treatment of strain gradient plasticity
• The variational structure of classical plasticity
• Lectures on the foundation of continuum mechanics and thermodynamics
• Integral-gradient formulae for structured deformations
• A mechanical model for heat conduction
• An introduction to continuum mechanics
• Nonclassical continua, pseudobalance, and the law of action and reaction
• The general form of the relaxation of a purely interfacial energy for structured deformations
• Second-order structured deformations: relaxation, integral representation and applications
• ``Reality and representation in mechanics: the legacy of Walter Noll
• On the past and future of natural philosophy
• A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations
• Continuum Thermodynamics
• The Energy of a One-Dimensional Structured Deformation
• Physical Foundations of Continuum Mechanics
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
• On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
• The mechanics of non-linear materials with memory

This page was built for publication: On classical continuum mechanics, two-scale continua, and plasticity