Yield conditions and flow rules derived from hypo-elasticity

DOI10.1007/BF00282332zbMath0222.73039MaRDI QIDQ2547824

Tatsuo Tokuoka

Publication date: 1971

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items

Fracture and yield of isotropic elastic material ⋮ Simple shear deformation of rate type plastic materials with combined work-hardening ⋮ Three-dimensional failure of isotropic materials with memory ⋮ A theory of failure of material with thermal and memory effects ⋮ Elastoplasticity beyond small deformations ⋮ A critical review of the state of finite plasticity ⋮ Thermo-acoustical waves in thermo-plastic materials ⋮ Rate-type constitutive equations and elastic-plastic materials ⋮ Thermo-hypo-elasticity and derived fracture and yield conditions ⋮ One-dimensional failure of materials with memory

Cites Work

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• A mathematical theory of the mechanical behavior of continuous media
• A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions I: Scalar-valued isotropic functions
• Some properties of media defined by constitutive equations in implicit form
• On the derivation of the constitutive equations of ideal plasticity
• COMBINED ELASTIC AND VON MISES STRESS-STRAIN RELATIONS
• Hypo-elasticity and plasticity
• The Foundations of Mechanics
• INTERDEPENDENCE OF THE YIELD CONDITION AND THE STRESS-STRAIN RELATIONS FOR PLASTIC FLOW
• COMBINED ELASTIC AND PRANDTL-REUSS STRESS-STRAIN RELATIONS