On a general concept for structured media with evolving defects

DOI10.1002/zamm.19990791353zbMath0958.74009OpenAlexW2088963924MaRDI QIDQ4268699

H. Stumpf

Publication date: 9 April 2001

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19990791353

zbMATH Keywords

dissipation inequalitydissipation potentialconfigurational forcesinertianucleationbalance equationsevolution of defectsone-parameter family of transformationsdefects with kinetic energygeneralized deformation gradients and strainsgeneralized Weierstrass excess functionLagrange's functionalquasi-static field equations

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Micromechanical theories (74A60)

Cites Work

• A model of elastoplastic bodies with continuously distributed dislocations
• Variational principles of nonlinear fracture mechanics
• On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
• Strain localization in ductile single crystals
• Eshelby stress in elastoplasticity and ductile fracture
• Nonlinear continuum theory of dislocations
• Dissipative driving force in ductile crystals and the strain localization phenomenon
• Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving
• On the determination of the crystal reference in nonlinear continuum theory of dislocations
• Variational Formulation of the Crack Problem for an Elastoplastic Body at Finite Strain
• A dynamical theory of structures solids. I Basic developments
• The force on an elastic singularity
• On a general concept for the analysis of crack growth and material damage

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