Ebook: Generalized Plasticity

Generalized Plasticity deals with the plasticity of materials and structures. It is an expansion of the "Unified Strength Theory to Plasticity Theory", leading to a unified treatment of metal plasticity and plasticity of geomaterials, generally. It includes the metal plasticity for Tresca materials, Huber-von-Mises materials and twin-shear materials and the geomaterial plasticity for Mohr-Coulomb materials, generalized twin-shear materials and the Unified Strength Theory.

The book is divided into five major parts: 1. Yield function and choice; 2. Constitutive relation; 3. Slip-line Field Theory for plane strain problems, Characteristics Field Theory for plane stress problems and Characteristics Field Theory for spatial axisymmetrical problems; 4. Plastic zone analysis at crack tip and fracture criterion for mixed mode crack; 5. Limit loads and shakedown loads for pressure vessel. Examples of applications and problems are given for most chapters.

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Generalized Plasticity deals with the plasticity of materials and structures. It is an expansion of the "Unified Strength Theory to Plasticity Theory", leading to a unified treatment of metal plasticity and plasticity of geomaterials, generally. It includes the metal plasticity for Tresca materials, Huber-von-Mises materials and twin-shear materials and the geomaterial plasticity for Mohr-Coulomb materials, generalized twin-shear materials and the Unified Strength Theory.

The book is divided into five major parts: 1. Yield function and choice; 2. Constitutive relation; 3. Slip-line Field Theory for plane strain problems, Characteristics Field Theory for plane stress problems and Characteristics Field Theory for spatial axisymmetrical problems; 4. Plastic zone analysis at crack tip and fracture criterion for mixed mode crack; 5. Limit loads and shakedown loads for pressure vessel. Examples of applications and problems are given for most chapters.

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Generalized Plasticity deals with the plasticity of materials and structures. It is an expansion of the "Unified Strength Theory to Plasticity Theory", leading to a unified treatment of metal plasticity and plasticity of geomaterials, generally. It includes the metal plasticity for Tresca materials, Huber-von-Mises materials and twin-shear materials and the geomaterial plasticity for Mohr-Coulomb materials, generalized twin-shear materials and the Unified Strength Theory.

The book is divided into five major parts: 1. Yield function and choice; 2. Constitutive relation; 3. Slip-line Field Theory for plane strain problems, Characteristics Field Theory for plane stress problems and Characteristics Field Theory for spatial axisymmetrical problems; 4. Plastic zone analysis at crack tip and fracture criterion for mixed mode crack; 5. Limit loads and shakedown loads for pressure vessel. Examples of applications and problems are given for most chapters.

Content:
Front Matter....Pages I-XXI
Introduction....Pages 1-13
Stress Space and Stress State....Pages 15-31
Basic Characteristics of Yield of Materials under Complex Stress....Pages 33-49
Unified Strength Theory and Its Material Parameters....Pages 50-94
Reasonable Choice of a Yield Function....Pages 95-121
Elasto-plastic Constitutive Relations....Pages 122-153
Concrete Plasticity....Pages 155-194
Twin-Shear Slip-Line Field for Plane Strain Problem....Pages 195-224
Unified Slip-Line Field Theory for Plane Strain Problem....Pages 225-269
Twin-Shear Characteristics Field for Plane Stress Problem....Pages 270-292
Unified Characteristics Field Theory for Plane Stress Problem....Pages 293-321
Unified Characteristics Line Theory for Spatial Axisymmetric Problem....Pages 322-350
Unified Solution of Plastic Zones at Crack Tip under Small Scale Yielding....Pages 351-374
Unified Fracture Criter ion for Mixed Mode Crack Initiation and Fatigue Crack Growth....Pages 375-400
Limit Load and Shakedown Load of Pressure Vessel....Pages 401-439
Back Matter....Pages 441-447

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Generalized Plasticity deals with the plasticity of materials and structures. It is an expansion of the "Unified Strength Theory to Plasticity Theory", leading to a unified treatment of metal plasticity and plasticity of geomaterials, generally. It includes the metal plasticity for Tresca materials, Huber-von-Mises materials and twin-shear materials and the geomaterial plasticity for Mohr-Coulomb materials, generalized twin-shear materials and the Unified Strength Theory.

The book is divided into five major parts: 1. Yield function and choice; 2. Constitutive relation; 3. Slip-line Field Theory for plane strain problems, Characteristics Field Theory for plane stress problems and Characteristics Field Theory for spatial axisymmetrical problems; 4. Plastic zone analysis at crack tip and fracture criterion for mixed mode crack; 5. Limit loads and shakedown loads for pressure vessel. Examples of applications and problems are given for most chapters.

Content:
Front Matter....Pages I-XXI
Introduction....Pages 1-13
Stress Space and Stress State....Pages 15-31
Basic Characteristics of Yield of Materials under Complex Stress....Pages 33-49
Unified Strength Theory and Its Material Parameters....Pages 50-94
Reasonable Choice of a Yield Function....Pages 95-121
Elasto-plastic Constitutive Relations....Pages 122-153
Concrete Plasticity....Pages 155-194
Twin-Shear Slip-Line Field for Plane Strain Problem....Pages 195-224
Unified Slip-Line Field Theory for Plane Strain Problem....Pages 225-269
Twin-Shear Characteristics Field for Plane Stress Problem....Pages 270-292
Unified Characteristics Field Theory for Plane Stress Problem....Pages 293-321
Unified Characteristics Line Theory for Spatial Axisymmetric Problem....Pages 322-350
Unified Solution of Plastic Zones at Crack Tip under Small Scale Yielding....Pages 351-374
Unified Fracture Criter ion for Mixed Mode Crack Initiation and Fatigue Crack Growth....Pages 375-400
Limit Load and Shakedown Load of Pressure Vessel....Pages 401-439
Back Matter....Pages 441-447
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