This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, neither of which in isolation necessarily obeys the integrability conditions satisfied by the gradient of a smooth vector field. The concise format emphasizes clarity and ease of reference, and detailed step-by-step derivations of most analytical results are provided.
This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.
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.
Stellar Astrophysics contains a selection of high-quality papers that illustrate the progress made in research into the structure and evolution of stars. Senior undergraduates, graduates, and researchers can now be brought thoroughly up to date in this exciting and ever-developing branch of astronomy.
WINNER OF THE GILDER LEHRMAN PRIZE FOR MILITARY HISTORY An engrossing, epic history of the US Army in the Pacific War, from the acclaimed author of The Dead and Those About to Die “This eloquent and powerful narrative is military history written the way it should be.”—James M. McPherson, Pulitzer Prize-winning historian "Out here, mention is seldom seen of the achievements of the Army ground troops," wrote one officer in the fall of 1943, "whereas the Marines are blown up to the skies." Even today, the Marines are celebrated as the victors of the Pacific, a reflection of a well-deserved reputation for valor. Yet the majority of fighting and dying in the war against Japan was done not by Marines but by unsung Army soldiers. John C. McManus, one of our most highly acclaimed historians of World War II, takes readers from Pearl Harbor—a rude awakening for a military woefully unprepared for war—to Makin, a sliver of coral reef where the Army was tested against the increasingly desperate Japanese. In between were nearly two years of punishing combat as the Army transformed, at times unsteadily, from an undertrained garrison force into an unstoppable juggernaut, and America evolved from an inward-looking nation into a global superpower. At the pinnacle of this richly told story are the generals: Douglas MacArthur, a military autocrat driven by his dysfunctional lust for fame and power; Robert Eichelberger, perhaps the greatest commander in the theater yet consigned to obscurity by MacArthur's jealousy; "Vinegar Joe" Stillwell, a prickly soldier miscast in a diplomat's role; and Walter Krueger, a German-born officer who came to lead the largest American ground force in the Pacific. Enriching the narrative are the voices of men otherwise lost to history: the uncelebrated Army grunts who endured stifling temperatures, apocalyptic tropical storms, rampant malaria and other diseases, as well as a fanatical enemy bent on total destruction. This is an essential, ambitious book, the first of three volumes, a compellingly written and boldly revisionist account of a war that reshaped the American military and the globe and continues to resonate today. INCLUDES MAPS AND PHOTOS
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