The elastic energy-momentum tensor
From MaRDI portal
Publication:1224426
DOI10.1007/BF00126994zbMath0323.73011OpenAlexW2020109042MaRDI QIDQ1224426
Publication date: 1975
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00126994
Micromechanics of solids (74M25) Fracture and damage (74R99) Micromechanical theories (74A60) Plastic materials, materials of stress-rate and internal-variable type (74C99) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to mechanics of deformable solids (74-00) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items (only showing first 100 items - show all)
On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. II: Numerical algorithm ⋮ On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape-memory alloy sample. III: Magneto-mechanical behaviors ⋮ Shape Optimization of Peristaltic Pumps Transporting Rigid Particles in Stokes Flow ⋮ Finite Deformations and Motions of a Pre-stressed Incompressible Elastic Tube ⋮ On spatial and material covariant balance laws in elasticity ⋮ An Analysis of 3D Crack Propagation using Cohesive Zone Models and the Theory of Configurational Forces ⋮ A NUMERICAL STUDY ON CAVITATION IN NONLINEAR ELASTICITY — DEFECTS AND CONFIGURATIONAL FORCES ⋮ Micromechanics of dislocations in solids: \(\mathbf J-, M\)-, and \(\mathbf L\)-integrals and their fundamental relations ⋮ An illustration of the equivalence of the loss of ellipticity conditions in spatial and material settings of hyperelasticity ⋮ Stress-assist chemical reactions front propagation in deformable solids ⋮ On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. I: Theoretical formulation ⋮ Crack growth control based on the topological derivative of the Rice's integral ⋮ Conserving Galerkin weak formulations for computational fracture mechanics ⋮ Configurational forces and geometrically exact formulation of sliding beams in non-material domains ⋮ Simultaneous solution of 1D momentum and canonical momentum equations ⋮ Lie point symmetries, conservation and balance laws in linear gradient elastodynamics ⋮ On conservation and balance laws in micromorphic elastodynamics ⋮ THE TOPOLOGICAL DERIVATIVE FOR THE POISSON'S PROBLEM ⋮ Structural optimization by simultaneous equilibration of spatial and material forces ⋮ An asymptotic finite plane deformation analysis of the elastostatic fields at a crack tip in the framework of hyperelastic, isotropic, and nearly incompressible neo-Hookean materials under mode-i loading ⋮ Nonlinear thermomechanics for analysis of weak shock profile data in ductile polycrystals ⋮ From species diffusion to poroelasticity and the modeling of lamina cribrosa ⋮ Application of configurational mechanics in characterizing contact fatigue life and its crack propagation: a numerical lattice-based approach ⋮ Characterization of fracture processes by continuum and discrete modelling ⋮ Convergence of domain integrals for stress intensity factor extraction in 2-D curved cracks problems with the extended finite element method ⋮ Computing stress intensity factors for curvilinear cracks ⋮ Spatial behaviour in pre-stressed constrained elastic cylinders ⋮ Electrostatic tractions at dielectric interfaces and their implication for crack boundary conditions ⋮ Electro-mechanical actuation modulates fracture performance of soft dielectric elastomers ⋮ Configurational forces in ferroelectric structures analyzed by a macromechanical switching model ⋮ On stress-affected propagation and stability of chemical reaction fronts in solids ⋮ Modeling the dynamic magneto-mechanical response of magnetic shape memory alloys based on Hamilton's principle: the governing equation system ⋮ Conservation laws and path-independent integrals in mechanical-diffusion-electrochemical reaction coupling system ⋮ Path independent integrals in equilibrium electro-chemo-elasticity ⋮ Interface balance laws, phase growth and nucleation conditions for multiphase solids with inhomogeneous surface stress ⋮ On a model of heterogeneous deformation of elastic bodies by the mechanism of multiple appearance of new phase layers ⋮ On configurational forces in the mechanics of phase and chemical transformations ⋮ Relation between Eshelby stress and Eshelby fourth-order tensor within an ellipsoidal inclusion ⋮ Singular Surface Curves in the Resultant Thermodynamics of Shells ⋮ Riemannian and Euclidean material structures in anelasticity ⋮ Domain integral formulation for 3-D curved and non-planar cracks with the extended finite element method ⋮ The force on an elastic singularity in a nonhomogeneous medium ⋮ Kinetics of phase transformations in the peridynamic formulation of continuum mechanics ⋮ Topological sensitivity analysis of a multi-scale constitutive model considering a cracked microstructure ⋮ Eshelby's inclusion problem in large deformations ⋮ Useful Conservation Sums in Molecular Dynamics and Atomistics ⋮ A numerical lattice method to characterize a contact fatigue crack growth and its Paris coefficients using configurational forces and stress-life curves ⋮ A continuum description of nonlinear elasticity, slip and twinning, with application to sapphire ⋮ An evaluation of mode-decomposed energy release rates for arbitrarily shaped delamination fronts using cohesive elements ⋮ Combination of the material force concept and the extended finite element method for mixed mode crack growth simulations ⋮ Small strain multiphase-field model accounting for configurational forces and mechanical jump conditions ⋮ Unnamed Item ⋮ Kinetics of phase boundaries with edges and junctions in a three-dimensional multi-phase body ⋮ The role of edge forces in conservation laws and energy release rates of strain-gradient solids ⋮ An ALE formulation based on spatial and material settings of continuum mechanics. I: Generic hyperelastic formulation ⋮ Adaptivity in linear elastic fracture mechanics based on shape sensitivity analysis ⋮ Conservation laws in elasticity. I: General results ⋮ Robust and direct evaluation ofJ2in linear elastic fracture mechanics with the X-FEM ⋮ Uniqueness of the nonlinear elastic dielectric affine boundary value problem on the whole space and on cone-like regions ⋮ A numerical strategy for investigating the kinetic response of stimulus-responsive hydrogels ⋮ Stress- and diffusion-induced interface motion: Modelling and numerical simulations ⋮ Configurational balance laws for incompatibility in stress space ⋮ Conservation laws of a decagonal quasicrystal in elastodynamics ⋮ On local uniqueness in nonlinear elastodynamics ⋮ Crack nucleation sensitivity analysis ⋮ A total Lagrangian based method for recovering the un-deformed configuration in finite elasticity ⋮ PDE-constrained optimization for advanced materials ⋮ Shape sensitivity analysis of a quasi-electrostatic piezoelectric system in multilayered media ⋮ Pseudomomentum: origins and consequences ⋮ Eshelby force and power for uniform bodies ⋮ Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains ⋮ An error-estimate-free and remapping-free variational mesh refinement and coarsening method for dissipative solids at finite strains ⋮ A framework for fracture modelling based on the material forces concept with XFEM kinematics ⋮ Non-Isochoric Bending and Shearing ⋮ Mesoelastic Deformation with Strain Singularities ⋮ A new application ofM- andL-integrals for the numerical loading analysis of two interacting cracks ⋮ Self-similar breakup of polymeric threads as described by the Oldroyd-B model ⋮ Numerical simulation of equilibrium shocks in maximally dissipative elastic systems. I: The one-dimensional case ⋮ Energy release, friction, and supplemental relations at phase interfaces ⋮ A Performance Study on Configurational Force and Spring-Analogy Based Mesh Optimization Schemes ⋮ On spatial and material settings of hyperelastodynamics ⋮ The elastic field of a crack extending non-uniformly under general anti- plane loading ⋮ Dynamics of strings made of phase-transforming materials ⋮ The role of the configurational force balance in the nonequilibrium epitaxy of films ⋮ Inhomogeneity effects on the crack driving force in elastic and elastic--plastic materials. ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3899665 Einige Erhaltungss�tze der Kontinuumsmechanik vom J-Integral-Typ] ⋮ Distributed shape derivativeviaaveraged adjoint method and applications ⋮ Non-classical laws with conserved quantities from the arbitrary functions included in general solution to elasticity and application ⋮ An effective XFEM with equivalent eigenstrain for stress intensity factors of homogeneous plates ⋮ On referential and spatial formulations of inverse elastostatic analysis ⋮ On the duality principle of conservation laws in finite elastodynamics ⋮ Energy Based Adaptive Strategy for Plates and Laminates ⋮ On the Fundamentals of the Three-dimensional Translation Gauge Theory of Dislocations ⋮ 4-D GEOMETRICAL MODELING OF MATERIAL AGING ⋮ Mechanical properties of nanostructure of biological materials ⋮ The equilibrium shape of an elastically inhomogeneous inclusion ⋮ Computing upper and lower bounds for the \(J\)-integral in two-dimensional linear elasticity ⋮ On the use of space-time finite elements in the solution of elasto-dynamic problems with strain discontinuities. ⋮ A Newtonian interpretation of configurational forces on dislocations and cracks ⋮ \(\boldsymbol{J}\)-, \(M\)- and \(\boldsymbol{L}\)-integrals of line charges and line forces
Cites Work
- On some general formulae in finite elastostatics
- Multipolar continuum mechanics
- On a class of conservation laws in linearized and finite elastostatics
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- On the spin angular momentum of mesons
- Relativistic Field Theories of Elementary Particles
- The force on an elastic singularity
- An Extension of Mercer's Theorem
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The elastic energy-momentum tensor