Theory of Elasticity, Sitharam T. G., Govindaraju L.

Автор: Hashiguchi, Koichi
Название: Nonlinear Continuum Mechanics For Finite Elasticity-Plasticity
ISBN: 0128194286 ISBN-13(EAN): 9780128194287
Издательство: Elsevier Science
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Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept. The subloading surface concept insists that the plastic strain rate is not induced suddenly at the moment when the stress reaches the yield surface but it develops continuously as the stress approaches the yield surface, which is crucially important for the precise description of cyclic loading behavior. Then, the exact formulations of the elastoplastic and viscoplastic constitutive equations based on the multiplicative decomposition are expounded in great detail. The book concludes with examples of these concepts and modeling techniques being deployed in real-world applications. Table of Contents: 1. Mathematical Basics 2. General (Curvilinear) Coordinate System 3. Description of Deformation/Rotation in Convected Coordinate System 4. Deformation/Rotation (Rate) Tensors 5. Conservation Laws and Stress Tensors 6. Hyperelastic Equations 7. Development of Elastoplastic Constitutive Equations 8. Multiplicative Decomposition of Deformation Gradient Tensor 9. Multiplicative Hyperelastic-based Plastic and Viscoplastic Constitutive Equations 10. Friction Model: Finite Sliding Theory

Автор: Audoly Basile, Pomeau Yves
Название: Elasticity and Geometry: From Hair Curls to the Non-Linear Response of Shells
ISBN: 0198826265 ISBN-13(EAN): 9780198826262
Издательство: Oxford Academ
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Описание: We experience elasticity everywhere in everyday life. This book covers several modern aspects of the established field of elasticity theory, applying general methods of classical analysis including advanced nonlinear aspects to derive detailed solutions to specific problems. It can serve as an introduction to nonlinear methods in science.

Автор: Kassir, Mumtaz
Название: The Mathematical Theory of Elasticity
ISBN: 1138374350 ISBN-13(EAN): 9781138374355
Издательство: Taylor&Francis
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Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates additional examples and the latest research results.

New to the Second Edition

• Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function
• Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites
• The Cauchy relations in elasticity
• A body force analogy for the transient thermal stresses
• A three-part table of Laplace transforms
• An appendix that explores recent developments in thermoelasticity

Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions.

This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.

Автор: Ruderman Michael S.
Название: Fluid Dynamics and Linear Elasticity: A First Course in Continuum Mechanics
ISBN: 3030192962 ISBN-13(EAN): 9783030192969
Издательство: Springer
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Цена: 32600.00 T
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Описание: ?This book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects.Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids.Based on an undergraduate course taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level.

Автор: Janusz Dyszlewicz
Название: Micropolar Theory of Elasticity
ISBN: 3642075282 ISBN-13(EAN): 9783642075285
Издательство: Springer
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Цена: 204040.00 T
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Описание: This monograph contains the results of my research in the area of asymmet- ric theory of elasticity, conducted from 1969 to 1986 under the direction of PROFESSOR WITOLD NOWACKI. I am indebted to PROFESSOR NOWACKI, thanks to whose invaluable and very kind research assistance I obtained the results which were the foundation of this monograph. Therefore, I would like to express my deepest gratitude to him and honour his memory. He will remain in my thoughts with due respect. During my research assistantship at the Institute of Mechanics at the Uni- versity of Warsaw in 1970-1973 I had the opportunity to participate in sem- inars and conferences, study critical reviews and carryon numerous discus- sions and conversations. All this resulted in many valuable remarks included in this monograph. In this connection, I would like to thank Professor J6zef Ignaczak and Professor Marek Sokolowski from the Institute of Fundamental Problems of Technology at the Polish Academy of Sciences, as well as Pro- fessor Zbigniew Olesiak and Professor Adam Piskorek from the Institute of Mechanics at the University of Warsaw.

Автор: M. Reza Eslami; Richard B. Hetnarski; J?zef Ignacz
Название: Theory of Elasticity and Thermal Stresses
ISBN: 9400763557 ISBN-13(EAN): 9789400763555
Издательство: Springer
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Цена: 88500.00 T
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Описание: Synthesizing the contents of three classic textbooks by the authors, this book offers a comprehensive approach to theory and practice, problems, solutions and exercises which thoroughly explore the mathematical principles of Elasticity and Thermal Stress.

Автор: L D Landau
Название: Theory of Elasticity,
ISBN: 075062633X ISBN-13(EAN): 9780750626330
Издательство: Elsevier Science
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Цена: 60630.00 T
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Описание: Covering not only the ordinary theory of the deformation of solids, this book also covers topics such as thermal conduction and viscosity in solids.

Автор: Sitharam, T. G. Govindaraju, L.
Название: Theory of elasticity
ISBN: 9813346493 ISBN-13(EAN): 9789813346499
Издательство: Springer
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Цена: 60550.00 T
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Описание: Theory of Elasticity provides a modern and integrated treatment of the foundations of solid mechanics as applied to the mathematical description of material behavior primarily to serve the needs of undergraduate, postgraduate and research students of Civil, Mechanical and Aeronautical engineering.

Автор: Thomas Ranz
Название: Linear Elasticity of Elastic Circular Inclusions Part 2/Lineare Elastizit?tstheorie bei kreisrunden elastischen Einschl?ssen Teil 2
ISBN: 3030628515 ISBN-13(EAN): 9783030628512
Издательство: Springer
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Цена: 46570.00 T
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Описание: In this book the real analytic solutions for the "Disc with Circular Inclusion" under normal- and shear force at plane-strain state (EVZ) are presented. Therefore it can be assumed the real analytical solutions are the exact solutions.

Автор: Morton E. Gurtin
Название: Topics in Finite Elasticity
ISBN: 0898711681 ISBN-13(EAN): 9780898711684
Издательство: Mare Nostrum (Eurospan)
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Цена: 39290.00 T
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Описание: Pesents a derivation of the basic equations of the theory, a discussion of the general boundary-value problems, and a treatment of several interesting and important special topics such as simple shear, uniqueness, the tensile deformations of a cube, and antiplane shear. It is intended for engineers, physicists, and mathematicians.

Автор: Steigmann, David J
Название: Finite Elasticity Theory. /
ISBN: 0198567782 ISBN-13(EAN): 9780198567783
Издательство: Oxford Academ
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Цена: 76030.00 T
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Описание: A graduate-level text on Finite Elasticity, suitable for graduate students, post-doctoral associates and researchers. Introduces the reader to the basic elements of this central topic, which serves as a template for a host of theories in Solid Mechanics.

Автор: N.I. Muskhelishvili
Название: Some Basic Problems of the Mathematical Theory of Elasticity
ISBN: 904818245X ISBN-13(EAN): 9789048182459
Издательство: Springer
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Цена: 243800.00 T
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Описание: The subject index was not contained in the Russian original and the authors` index represents an extension of the original list of references. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type.