Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity

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.

“In this new book, the authors present contemporary approaches to the formulation and solution of problems in the theory of elasticity, plasticity, and viscoelasticity. The traditional sections of the course of the theory of elasticity and plasticity are presented in the modern interpretation, clearly and in an easy-to-understand manner. The tensor form of writing is used along with the coordinate form, which facilitates the student to understand the material. The analytical solutions and numerical results for elastic, elastic-plastic, linear viscoelastic and viscous elastoplastic three-layer circular plates under quasi-static and dynamic stresses are the results of the authors’ own work.”--D. V. Tarlakovsky, DSc, Head, Department of Resistance of Materials, Dynamics and Strength of Machines, Moscow State Aviation Institute, Russia“The book is devoted to the mechanics of deformable bodies. The authors present the results of many years of basic research. The book features a deep, comprehensive, and rigorous study of the issues covered. The authors have carefully and thoroughly studied the mechanics of deformable bodies and provide solutions. The methods will undoubtedly be useful to many researchers in this field. The methods illustrated in Chapter 8, on the theory of plasticity, and Chapter 11, which deals with the thermal effects on a number of specific materials, can be used to advance the construction of the theory of thermoviscoelastoplasticity, which is extremely important not only in theoretical terms, but also for the development of industrial production and processing of conductive material. The book will be of great benefit in the work of researchers and students in the field of solid mechanics.”--Professor Mark Liberzon, Head, Department of Analytical Mechanics, and Vice President, Tsyolkovsky Moscow Aviation Technological University; Vice President, Russian Engineering Academy, Moscow, Russia

• The Theory of Stress-Strain State. Physical Relations in the Elasticity Theory. Statement and Problem-Solving Procedures of Elasticity Theory. Variational Methods. The Plane Elastic Problems. Plate Bending. Deformation of a Half-Space and Contact Problems. Foundations of the Theory of Plasticity. Linear Viscoelastic Continua. Thermoviscoelastoplasticity. Thermoviscoelastoplastic Characteristics of Materials. Dynamic Problems of the Elasticity Theory.