Elastoplastic Modeling

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Salencon, Jean
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2020.
Temas:
Elastoplasticity.
Élastoplasticité.
Elastoplasticity
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Half-Title Page
  • Title Page
  • Copyright Page
  • Contents
  • Preface
  • Acknowledgments
  • Notations
  • Introduction
  • 1. Elastic Domains: Yield Conditions
  • 1.1. Introductory remarks
  • 1.2. An overview of the model
  • 1.2.1. The infinitesimal transformation framework
  • 1.2.2. Time variable
  • 1.3. One-dimensional approach
  • 1.3.1. Uniaxial tension test
  • 1.3.2. Uniaxial tension-compression test
  • 1.3.3. The Bauschinger effect
  • 1.3.4. Other one-dimensional experiments
  • 1.4. Multidimensional approach
  • 1.4.1. A multidimensional experiment
  • 1.4.2. Initial elastic domain
  • 1.4.3. Work-hardening
  • 1.4.4. Perfectly plastic material
  • 1.4.5. Bui's experimental results
  • 1.5. Yield conditions
  • 1.5.1. Initial yield condition and yield function
  • 1.5.2. Loading function and work-hardening
  • 1.5.3. Simple work-hardening models
  • 1.6. Yield criteria and loading functions
  • 1.6.1. Convexity
  • 1.6.2. Isotropy
  • 1.6.3. The Tresca yield criterion
  • 1.6.4. The von Mises yield criterion
  • 1.6.5. Other yield criteria for metals
  • 1.6.6. Yield criteria for anisotropic materials
  • 1.6.7. Yield criteria for granular materials
  • 1.7. Final comments
  • 2. The Plastic Flow Rule
  • 2.1. One-dimensional approach
  • 2.1.1. Work-hardening material
  • 2.1.2. Perfectly plastic material
  • 2.2. Multidimensional approach for a work-hardening material
  • 2.2.1. Loading and unloading processes
  • 2.2.2. General properties of the plastic flow rule
  • 2.2.3. Plastic potential: associated plasticity
  • 2.2.4. Principle of maximum plastic work
  • 2.2.5. Validation of the principle of maximum plastic work
  • 2.2.6. Piecewise continuously differentiable loading functions
  • 2.3. Multidimensional approach for a perfectly plastic material
  • 2.3.1. Loading and unloading processes
  • 2.3.2. Application of the principle of maximum plastic work
  • 2.3.3. Drucker's postulate
  • 2.4. Plastic dissipation
  • 2.4.1. Plastic dissipation per unit volume
  • 2.4.2. Plastic dissipation and support function of the elastic domain
  • 2.4.3. Plastic velocity jumps in the case of perfectly plastic materials
  • 2.5. Generalized standard materials
  • 2.6. Mises', Tresca's and Coulomb's perfectly plastic standard materials
  • 2.6.1. Mises' perfectly plastic standard material
  • 2.6.2. Tresca's perfectly plastic standard material
  • 2.6.3. Coulomb's perfectly plastic standard material
  • 2.6.4. About edge and vertex regimes
  • 3. Elastoplastic Modeling in Generalized Variables
  • 3.1. About generalized variables
  • 3.2. Elastic domains
  • 3.2.1. Initial elastic domain
  • 3.2.2. Work-hardening and perfect plasticity
  • 3.3. The anelastic flow rule
  • 3.3.1. Anelasticity or plasticity?
  • 3.3.2. Principle of maximum work
  • 3.3.3. The work-hardening anelastic flow rule
  • 3.3.4. The "perfectly plastic" anelastic flow rule
  • 3.3.5. Anelastic dissipation
  • 3.4. Generalized continua
  • 3.4.1. Curvilinear generalized continuum

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