Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids

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.

Presents intricate models of planar shock compression for anisotropic single crystals and polycrystals Addresses dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes Includes rigorous derivations of theoretical results as well as case studies for different materials

Auteur

Dr. John D. Clayton has over fifteen years of experience with advanced constitutive modeling and numerical simulation of crystalline solids subjected to dynamic and high-pressure loading. He has worked as a research scientist and team leader in the Impact Physics Branch of the U.S. Army Research Laboratory in Aberdeen, Maryland since 2003. He has served on the teaching faculty at the University of Maryland, College Park since 2015. Dr. Clayton earned a Ph.D. from the Georgia Institute of Technology in 2002 and was a visiting scientist at the Courant Institute of Mathematical Sciences and at Columbia University in 2016. He is an elected fellow of both the U.S. Army Research Laboratory and the American Society of Mechanical Engineers.

Résumé

"The book is a document of tremendous scientific work for the shock-loading issue. ... While this book targets shock phenomena, the reader will benefit from the description of the deformation processes taking place in the single crystal, as well as the continuum mechanics framework exposed in the large strain regime in elasticity and inelasticity, the analysis of case studies and the appraisal of different approaches." (Ioannis Doltsinis, Mathematical Reviews, March 2, 2020)

Contenu
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