On the role of the Finsler geometry in the theory of elasto-plasticity

DOI10.1016/S0034-4877(97)81467-XzbMath0896.73018OpenAlexW2042845429MaRDI QIDQ1373695

Jan Saczuk

Publication date: 17 December 1997

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)81467-x

zbMATH Keywords

Lagrangian functionalyield surfaceClausius-Duhem inequalityindicatrixWeierstrass conditioninternal-variable theoryFinsler bundle

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Plastic materials, materials of stress-rate and internal-variable type (74C99) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (6)

On Finsler geometry and applications in mechanics: review and new perspectives ⋮ Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids ⋮ On tangent geometry and generalised continuum with defects ⋮ Finsler geometry of nonlinear elastic solids with internal structure ⋮ Finslerian extension of Lorentz transformations ⋮ Finslerian metric functions over the product \(\mathbb{R}\times M\) and their potential applications

Cites Work

• Matching the inner and outer solutions in the continuum theory of dislocations
• A critical review of the state of finite plasticity
• On constitutive relations at finite strain: Hypo-elasticity and elasto- plasticity with isotropic or kinematic hardening
• Finsler geometry, relativity and gauge theories
• Internal time, general internal variable, and multi-yield-surface theories of plasticity and creep: A unification of concepts
• Aspects of variational arguments in the theory of elasticity: fact and folklore
• Chaos in classical and quantum mechanics
• A variational approach to the Cosserat-like continuum
• The physics of plastic deformation
• On the relation between continuum plasticity and dislocation theories
• The Plastic Spin
• Elastic-Plastic Deformation at Finite Strains
• Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)
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