Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity

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 are presented, and the theories are accompanied by examples of solving typical problems. The last six chapters will be useful to postgraduates and scientists engaged in nonlinear mechanics of deformed inhomogeneous bodies. The foundations of the modern theory of plasticity (general, small elastoplastic deformations and the theory of flow), linear, and nonlinear viscoelasticity are set forth. Corresponding research of three-layered circular plates of various materials is included to illustrate methods of problem solving. Analytical solutions and numerical results for elastic, elastoplastic, lineaer viscoelastic and viscoelastoplastic plates are also given. Thermoviscoelastoplastic characteristics of certain materials needed for numerical account are presented in the eleventh chapter. The informative book is intended for scientists, postgraduates and higher-level students of engineering spheres and will provide important practical skills and approaches.

The Theory of Stress-Strain StatePhysical Relations in the Elasticity Theory Statement and Problem-Solving Procedures of Elasticity TheoryVariational MethodsThe Plane Elastic ProblemsPlate BendingDeformation of a Half-Space and Contact ProblemsFoundations of the Theory of PlasticityLinear Viscoelastic ContinuaThermoviscoelastoplasticityThermoviscoelastoplastic Characteristics of MaterialsDynamic Problems of the Elasticity Theory

Dr. Eduard Starovoitov is Head of the Ministry of Education at the Republic of Belarus, Byelorussian State University of Transport. He is the author of over 100 articles and thirteen books and more than 250 analytical reports on fundamental and applied studies in mechanics of solid, mathematics, computer programming, education, and sciences. Faig Bakhman Ogli Naghiyev, DSc, is currently Leading Research Officer at the Ministry of Communications and Information Technology of Azerbaijan Republic, Baku, Azerbaijan. He was formerly Professor of Department of Development and Production of Oil Fields at Azerbaijan State Oil Academy, Baku, Azerbaijan. He is the author of over 100 articles and 2 books and more than 200 analytical reports, projects on fundamental and applied studies in hydro-mechanics and thermal physics of multiphase media, mathematics, computer programming, research studies in oil and gas sphere, power-engineering and technological complexes, education and sciences.