May 7, 2021

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Nonlinear Theory of Elastic Plates

Nonlinear Theory of Elastic Plates
Author : Anh Le Van
Publisher : Elsevier
Release Date : 2017-05-31
Category : Mathematics
Total pages :212
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Nonlinear Theory of Elastic Plates provides the theoretical materials necessary for the three plate models—Cosserat plates, Reissner-Mindlin plates and Kirchhoff-Love plates— in the context of finite elastic deformations. One separate chapter is devoted to the linearized theory of Kirchhoff-Love plates, which allows for the study of vibrations of a pre-stressed plate and the static buckling of a plate. All mathematical results in the tensor theory in curvilinear coordinates necessary to investigate the plate theory in finite deformations are provided, making this a self-contained resource. Presents the tricky process of linearization, which is rarely dealt with, but explained in detail in a separate chapter Organized in a mathematical style, with definitions, hypotheses, theorems and proofs clearly stated Presents every theorem with its accompanying hypotheses, enabling the reader to quickly recognize the conditions of validity in results

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies
Author : Leonid M. Zubov
Publisher : Springer Science & Business Media
Release Date : 2008-09-11
Category : Science
Total pages :208
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The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.

Foundations of the Nonlinear Theory of Elasticity

Foundations of the Nonlinear Theory of Elasticity
Author : V. V. Novozhilov
Publisher : Courier Corporation
Release Date : 1999-01-01
Category : Technology & Engineering
Total pages :233
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This is an essential book for students and academicians alike. In addition to discussing theory, topics include the connection between stresses and strains in an isotropic elastic body, the geometry of strain, and much more. Deductions are explained in the simplest, most intuitive manner for wide accessibility. 1953 edition.

Linear Theories of Elasticity and Thermoelasticity

Linear Theories of Elasticity and Thermoelasticity
Author : Clifford Truesdell
Publisher : Springer
Release Date : 2013-12-17
Category : Technology & Engineering
Total pages :745
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Mathematical Elasticity

Mathematical Elasticity
Author : Anonim
Publisher : Elsevier
Release Date : 1997-07-22
Category : Mathematics
Total pages :496
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The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established. In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Kármán equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.

Theory and Analysis of Elastic Plates and Shells, Second Edition

Theory and Analysis of Elastic Plates and Shells, Second Edition
Author : J. N. Reddy
Publisher : CRC Press
Release Date : 2006-11-20
Category : Science
Total pages :568
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Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics. Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists.

Vibrations of Elastic Plates

Vibrations of Elastic Plates
Author : Yi-Yuan Yu
Publisher : Springer Science & Business Media
Release Date : 1996-04-25
Category : Science
Total pages :228
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This book deals with the dynamical modeling of thin elastic structures, such as beams, plates and shells - particularly, the linear and nonlinear vibrations in these structures. The approach makes systematic use of variational equations of motion.

Applied Mechanics Reviews

Applied Mechanics Reviews
Author : Anonim
Publisher : Unknown
Release Date : 1997
Category : Mechanics, Applied
Total pages :129
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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
Author : Anonim
Publisher : Unknown
Release Date : 1971
Category : Aeronautics
Total pages :129
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Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Theory of Shells and Plates (Teoriya Obolochek i Plastin)

Theory of Shells and Plates (Teoriya Obolochek i Plastin)
Author : S. M. Durgar'ian
Publisher : Unknown
Release Date : 1966
Category : Elastic plates and shells
Total pages :948
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Plates and Junctions in Elastic Multi-structures

Plates and Junctions in Elastic Multi-structures
Author : Philippe G. Ciarlet
Publisher : Unknown
Release Date : 1990
Category : Análisis elástico (Teoría de las estructuras)
Total pages :215
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Mechanics of Cellulosic and Polymeric Materials

Mechanics of Cellulosic and Polymeric Materials
Author : Richard W. Perkins
Publisher : Amer Society of Mechanical
Release Date : 1989
Category : Technology & Engineering
Total pages :253
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NASA Technical Translation

NASA Technical Translation
Author : United States. National Aeronautics and Space Administration
Publisher : Unknown
Release Date : 1966
Category : Science
Total pages :129
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Fatigue Fracture of 2024-T3 Aluminum Plates Under In-plane Symmetric and Out-of-plane Antisymmetric Mixed-mode Deformations

Fatigue Fracture of 2024-T3 Aluminum Plates Under In-plane Symmetric and Out-of-plane Antisymmetric Mixed-mode Deformations
Author : Mark Joseph Viz
Publisher : Unknown
Release Date : 1996
Category :
Total pages :956
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Proceedings

Proceedings
Author : United States. National Congress of Applied Mechanics
Publisher : Unknown
Release Date : 1966
Category : Mechanics, Applied
Total pages :129
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