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Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids
XI, 483 p. 65 illus., 42 illus. in color. online resource.
This book describes thermoelastic and inelastic deformation processes in crystalline solids undergoing loading by shock compression. Constitutive models with a basis in geometrically nonlinear continuum mechanics supply these descriptions. Large deformations such as finite strains and rotations, are addressed. The book covers dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes. Rigorous derivations of theoretical results are provided, with approximately 1300 numbered equations and an extensive bibliography of over 500 historical and modern references spanning from the 1920s to the present day. Case studies contain property data, as well as analytical, and numerical solutions to shock compression problems for different materials. Such materials are metals, ceramics, and minerals, single crystalline and polycrystalline. The intended audience of this book is practicing scientists (physicists, engineers, materials scientists, and applied mathematicians) involved in advanced research on shock compression of solid materials.
Chapter1: Introduction -- Chapter2: Shock Physics Fundamentals -- Part I: Nonlinear Elasticity and Equations of State -- Chapter3: Lagrangian Formulation -- Chapter4: Eulerian Formulation -- Chapter5: Logarithmic Formulation -- Chapter6: Equations of State -- Part II: Inelasticity: Plasticity, Twinning, Fracture, and Flow -- Chapter7: Dislocation Plasticity in Single Crystals -- Chapter8: Shock Compression of Ductile Polycrystals -- Chapter9: Deformation Twinning in Single Crystals -- Chapter10: Fracture and Flow in Brittle Solids -- Part III Internal Structure: Differential-Geometric Modeling -- Chapter11: Finsler-Geometric Modeling of Structural Changes in Solids.
Mathematical Applications in the Physical Sciences
Characterization and Evaluation of Materials
Theoretical, Mathematical and Computational Physics