Generalized Plasticity [electronic resource] / by Mao-Hong Yu, Guo-Wei Ma, Hong-Fu Qiang, Yong-Qiang Zhang.

Stress Space and Stress State -- Basic Characteristics of Yield of Materials under Complex Stress -- Unified Strength Theory and Its Material Parameters -- Reasonable Choice of a Yield Function -- Elasto-plastic Constitutive Relations -- Concrete Plasticity -- Twin-Shear Slip-Line Field for Plane Strain Problem -- Unified Slip-Line Field Theory for Plane Strain Problem -- Twin-Shear Characteristics Field for Plane Stress Problem -- Unified Characteristics Field Theory for Plane Stress Problem -- Unified Characteristics Line Theory for Spatial Axisymmetric Problem -- Unified Solution of Plastic Zones at Crack Tip under Small Scale Yielding -- Unified Fracture Criter ion for Mixed Mode Crack Initiation and Fatigue Crack Growth -- Limit Load and Shakedown Load of Pressure Vessel.

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.