Three-dimensional problems of the theory of elasticity, tr
Author: Anatolii Isakievich Lur'e
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Author: Anatolii Isakievich Lur'e
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DOWNLOAD EBOOKAuthor: A.I. Lurie
Publisher: Springer Science & Business Media
Published: 2010-05-30
Total Pages: 1036
ISBN-13: 3540264558
DOWNLOAD EBOOKThe classical theory of elasticity maintains a place of honour in the science ofthe behaviour ofsolids. Its basic definitions are general for all branches of this science, whilst the methods forstating and solving these problems serve as examples of its application. The theories of plasticity, creep, viscoelas ticity, and failure of solids do not adequately encompass the significance of the methods of the theory of elasticity for substantiating approaches for the calculation of stresses in structures and machines. These approaches constitute essential contributions in the sciences of material resistance and structural mechanics. The first two chapters form Part I of this book and are devoted to the basic definitions ofcontinuum mechanics; namely stress tensors (Chapter 1) and strain tensors (Chapter 2). The necessity to distinguish between initial and actual states in the nonlinear theory does not allow one to be content with considering a single strain measure. For this reason, it is expedient to introduce more rigorous tensors to describe the stress-strain state. These are considered in Section 1.3 for which the study of Sections 2.3-2.5 should precede. The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9.
Author: A. I. Lur'e
Publisher:
Published: 1964
Total Pages: 493
ISBN-13:
DOWNLOAD EBOOKAuthor: V.D. Kupradze
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 951
ISBN-13: 0080984630
DOWNLOAD EBOOKNorth-Holland Series in Applied Mathematics and Mechanics, Volume 25: Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral equations. The publication first tackles basic concepts and axiomatization and basic singular solutions. Discussions focus on fundamental solutions of thermoelasticity, fundamental solutions of the couple-stress theory, strain energy and Hooke’s law in the couple-stress theory, and basic equations in terms of stress components. The manuscript then examines uniqueness theorems and singular integrals and integral equations. The book ponders on the potential theory and boundary value problems of elastic equilibrium and steady elastic oscillations. Topics include basic theorems of the oscillation theory, existence of solutions of boundary value problems, integral equations of the boundary value problems, and boundary properties of potential-type integrals. The publication also reviews mixed dynamic problems, couple-stress elasticity, and boundary value problems for media bounded by several surfaces. The text is a dependable source of data for mathematicians and readers interested in three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.
Author: T. G. Gegelii︠a︡
Publisher:
Published: 1979
Total Pages: 960
ISBN-13:
DOWNLOAD EBOOKAuthor: Anatoliĭ Isakovich Lurʹe
Publisher:
Published: 1964
Total Pages: 516
ISBN-13:
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Publisher: Elsevier
Published: 1988-04-01
Total Pages: 495
ISBN-13: 0080875416
DOWNLOAD EBOOKThis volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.
Author: Anatolii Isakovich Lur'e
Publisher:
Published: 1964
Total Pages: 493
ISBN-13:
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Publisher:
Published: 1976
Total Pages: 929
ISBN-13:
DOWNLOAD EBOOKAuthor: Anatolii Isakovich Lur'e
Publisher:
Published: 1964
Total Pages: 516
ISBN-13:
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