A space-time gauge theory for dynamic plasticity: non-linear micro-inertia and its consequences

DOI10.1016/j.euromechsol.2024.105246zbMATH Open1546.74012MaRDI QIDQ6540418

Publication date: 15 May 2024

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

strain rate sensitivity gradient viscoplasticity translational symmetry gauge-covariant temporal derivative Kroener multiplicative decomposition space-time pseudo-Riemannian metric

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Applications of differential geometry to physics (53Z05)

Cites Work

A micropolar microplane theory
A model of large-strain cyclic plasticity and its application to springback simulation
A gradient-enhanced damage approach for viscoplastic thin-shell structures subjected to shock waves
A strain gradient crystal plasticity analysis of grain size effects in polycrystals
An internal state variable plasticity-based approach to determine dynamic loading history effects on material property in manufacturing processes
A large-deformation strain-gradient theory for isotropic viscoplastic materials
A Yang-Mills type minimal coupling theory for materials with dislocations and disclinations
On the gradient-dependent theory of plasticity and shear banding
Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics
On theoretical and numerical methods in the theory of porous media based on polar and non-polar elasto-plastic solid materials
Finite element simulations of shear localization in plate impact
Kinematic hardening in large strain plasticity
On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
A continuum plasticity model for the constitutive and indentation behaviour of foamed metals
On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials
Forming severity concept for predicting sheet necking under complex loading histories
Experimental quasi-static axial crushing of top-hat and double-hat thin-walled sections
A general forming limit criterion for sheet metal forming
Behaviors of three BCC metal over a wide range of strain rates and temperatures: Experiments and modeling
A one-dimensional dynamic analysis of strain-gradient viscoplasticity
A viscoelastic-viscoplastic constitutive model for high-temperature response of an advanced steel verified by biaxial measurement experiments
Modeling size effects in microwire torsion: a comparison between a Lagrange multiplier-based and a \(CurlF^p\) gradient crystal plasticity model
A conformal gauge theory of solids: insights into a class of electromechanical and magnetomechanical phenomena
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations
Continuum Mechanics and Thermodynamics
High-performance parallel simulation of structure degradation using non-local damage models
Theory and numerics of ductile micropolar elastoplastic damage
Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage

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