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Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity. The book includes all modern methods of research as well as the results of the authors’ recent work and is presented with sufficient mathematical strictness and proof. The first six chapters are devoted to the foundations of the theory of elasticity. Theory of stress-strain state, physical relations and problem statements, variation principles, contact and 2D problems, and the theory of plates a...
This textbook contains sections with fundamental, classical knowledge in solid mechanics, as well as original modern mathematical models to describe the state and behavior of solid deformable bodies. It has original sections with the basics of mathematical modeling in the solid mechanics, material on the basic principles, and features of mathematical formulation of model problems of solid mechanics. For successful mastering of the material, it is necessary to have basic knowledge of the relevant sections of the courses of mathematical analysis, linear algebra and tensor analysis, differential equations, and equations of mathematical physics. Each section contains a list of test questions and exercises to check the level of assimilation of the material. The textbook is intended for senior university students, postgraduates, and research fellows. It can be used in the study of general and special disciplines in various sections of solid mechanics, applied mechanics for students and undergraduates of various specializations and specialties, such as mechanics and mathematical modeling, applied mathematics, solid physics, and engineering mechanics.
Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity. The book includes all modern methods of research a
On 16 July 1941, Adolf Hitler convened top Nazi leaders at his headquarters in East Prussia to dictate how they would rule the newly occupied eastern territories. Ukraine, the "jewel" in the Nazi empire, would become a German colony administered by Heinrich Himmler's SS and police, Hermann Goring's economic plunderers, and a host of other satraps. Focusing on the Zhytomyr region and weaving together official German wartime records, diaries, memoirs, and personal interviews, Wendy Lower provides the most complete assessment available of German colonization and the Holocaust in Ukraine. Midlevel "managers," Lower demonstrates, played major roles in mass murder, and locals willingly participate...
This book methodically details the formulations and approaches to solve boundary value problems, which are essential for determining the stress–strain states in three-layer rods and plates subjected to both single and quasi-static variable loads in thermal radiation and force fields. It duly considers the complex influences on the physically nonlinear properties of the materials in each layer. The book offers several innovative analytical solutions and a numerical parametric analysis of the stress–strain scenarios in these structures. It describes the deformation of physically nonlinear media in thermoradiational fields within the small elastic-plastic deformations theory framework. The work explores variational problem-solving methods and the elastic solution method. It presents a formula for calculating the temperature within a three-layer assembly, derived by averaging the thermophysical properties of the materials across the layers' thickness. Additionally, the book includes an analysis of the attenuation of neutron flux as it passes through a three-layer element.
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A publication of the Mediterranean Consortium for the 32nd International Geological Congress
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