The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body.
A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.
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. Score: 3. It is as sumed that the student, before reading this book, has had courses in me chanics statics, dynamics and strength of materials mechanics of mate rials.
It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering.
As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques.
We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only. The effectiveness of this approach is reflected in the broadness and importance of the subjects treated; they cover a great diversity of topics that are basic in many branches of engineering including: Civil Engineering, Mechanical Engineering, Petroleum Engineering, and Water Resources.
These topics include: Flow of fluids and transport of solutes which are free to move in the physical space and where fluids may be restricted to move in a porous medium. The transport of solutes is fundamental in Environmental Engineering Water Resources and Petroleum Engineering since it is the means of predicting contaminant behavior. The porous medium based equations are also used to model Enhanced Oil Recovery which is very important for sustaining the oil supply of the world.
Model of static and dynamic elasticity are used in several branches of engineering including Foundation and Seismic Engineering" A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.
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 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 elasticity developed as a science due to the necessity of having theoretical methods for calculating the strength of parts of structures and machines.
At present the theory of elasticity is a branch of mathematical physics that must be at the finger tips both of engineers and scientists studying the strength of structures and machines.
The book Theory of Elasticity is a textbook for students of higher technical schools of the Soviet Union. It contains matter on the theory of stresses, the geometrical theory of strain, the torsion of prismatic bars and the bending of plates.
It sets forth the theoretical fundamentals of the solution of elasticity problems in terms of displacement and stresses and shows the general methods of solving problems in the theory of elasticity.
The book considers plane problems in Cartesian and in polar coordinates. In conclusion the author deals with the variational methods of elasticity. The two fundamental premises of the original edition have been adhered to, namely: To obtain a real understanding of? With its focus not only on elasticity theory but also on concrete applications in real engineering situations, this work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals.
Soft biological tissues often undergo large nearly elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues.
Applications include muscle, arteries, the heart, and embryonic tissues. Theory of Elasticity and Stress Concentration Yukitaka Murakami, Kyushu University, Japan A comprehensive guide to elasticity and stress concentration Theory of Elasticity and Stress Concentration comprehensively covers elasticity and stress concentration and demonstrates how to apply the theory to practical engineering problems. The book presents a new approach to the topic without the need for complicated mathematics, and the principles and meaning of stress concentration are covered without reliance on numerical analysis.
Part I treats the theory of elasticity from the viewpoint of helping the reader to comprehend the essence of it. Part II treats the principle and meaning of stress concentration and guides the reader to a better understanding of it. Throughout the book, many useful and interesting applications of the basic new way of thinking are presented and explained. Key features: Unique approach to the topics. Encourages the readers to acquire the new way of thinking and engineering judgement.
Includes examples, problems and solutions. This book provides essential reading for researchers and practitioners in the structural and mechanical engineering industries.
Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others.
Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike. The most complete single-volume treatment of classical elasticity, this text features extensive editorial apparatus, including a historical introduction. Topics include stress, strain, bending, torsion, gravitational effects, and much more. Skip to content. Theory of Elasticity for Scientists and Engineers.
Author : Teodor M. Theory of Elasticity. Author : A. Theory of Elasticity Book Review:. Author : Martin H. Elasticity Book Review:. Author : Adel S. Elasticity in Engineering Mechanics. Author : Arthur P. Boresi,Ken Chong,James D. Elasticity in Engineering Mechanics Book Review:. The Mathematical Theory of Elasticity. Author : Richard B. Mathematical Modeling in Science and Engineering. Author : Ismael Herrera,George F.
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