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Gradient-Enhanced Continuum Plasticity provides an expansive review of gradient-enhanced continuum plasticity from the initial stage to current research trends in experimental, theoretical, computational and numerical investigations. Starting with an overview of continuum mechanics and classical plasticity, the book then delves into concise lessons covering basic principles and applications, such as outlining the use of the finite element method to solve problems with size effects, mesh sensitivity and high velocity impact loading. All major theories are explored, providing readers with a guide to understanding the various concepts of and differences between an array of gradient-enhanced continuum plasticity models. Outlines the concepts of, and differences between, various gradient-enhanced continuum plasticity modelsProvides guidance on problem-solving for size effects, mesh-sensitivity tests and thermo-mechanical couplingReviews experimental, numerical and theoretical issues in gradient-enhanced continuum plasticityDescribes micromechanical aspects from experimental observations
Plasticity of Metallic Materials presents a rigorous framework for description of plasticity phenomena, classic and recent models for isotropic and anisotropic materials, new original analytical solutions to various elastic/plastic boundary value problems and new interpretations of mechanical data based on these recent models. The book covers models for metals with both cubic and hexagonal crystal structures, presents the mechanical tests required to determine the model parameters, various identification procedures, verification, and validation tests, and numerous applications to metal forming.
Material Modeling with the Visco-Plastic Self-Consistent (VPSC) Approach: Theory and Practical Applications provides readers with knowledge of material viscoplasticity and robust modeling approaches for predicting plastic deformation of crystal aggregates. Visco-Plastic Self-Consistent (VPSC) is the identifier of a computer code developed for the specific mechanical regime addressed (visco-plastic: VP) and the approach used (self-consistent: SC) meant to simulate large plastic deformation of aggregates, thermo-elastic material deformation, as well as predict stress-strain response, texture evolution of aggregates and stress-strain state inside grains. This approach is very versatile and able to tackle arbitrary material symmetry (cubic, hexagonal, trigonal, orthorhombic, triclinic), twinning, and multiphase aggregates. It accounts for hardening, reorientation and shape change of individual grains, and can be applied to the deformation of metals, inter-metallics and geologic aggregates. Readers will have access to a companion website where they can download code and modify its input/output or add subroutines covering specific simulation research needs.
Thermomechanics of Solids and Structures: Physical Mechanisms, Continuum Mechanics, and Applications covers kinematics, balance equations, the strict thermodynamic frameworks of thermoelasticity, thermoplasticity, creep covering constitutive equations, the physical mechanisms of deformation, along with computational aspects. The book concludes with coverage of the thermodynamics of solids and applications of the constitutive three-dimensional model to both one-dimensional homogeneous and composite beam structures. Practical applications of the theories and techniques covered are emphasized throughout the book, with analytical solutions provided for various problems.
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