MATHEMATICAL FOUNDATIONS OF ELASTICITY

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Mathematical Foundations Of Elasticity

Author : Jerrold E. Marsden
ISBN : 9780486142272
Genre : Technology & Engineering
File Size : 44.39 MB
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Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.
Category: Technology & Engineering

Handbook Of Continuum Mechanics

Author : Jean Salencon
ISBN : 9783642565427
Genre : Science
File Size : 29.57 MB
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Outstanding approach to continuum mechanics. Its high mathematical level of teaching together with abstracts, summaries, boxes of essential formulae and numerous exercises with solutions, makes this handbook one of most complete books in the area. Students, lecturers, and practitioners will find this handbook a rich source for their studies or daily work.
Category: Science

Mathematical Problems In Elasticity

Author : R Russo
ISBN : 9789814499279
Genre : Mathematics
File Size : 83.82 MB
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In this volume, five papers are collected that give a good sample of the problems and the results characterizing some recent trends and advances in this theory. Some of them are devoted to the improvement of a general abstract knowledge of the behavior of elastic bodies, while the others mainly deal with more applicative topics. Contents:Collected Results on Finite Amplitude Plane Waves in Deformed Mooney–Rivlin Materials (Ph Boulanger and M Hayes)Decay Estimates for Boundary-Value Problems in Linear and Nonlinear Continuum Mechanics (C O Horgan)On the Traction Problem in Incompressible Linear Elasticity for Unbounded Domains (R Russo and G Starita)An Abstract Perturbation Problem with Symmetries Suggested by Live Boundary Problems in Elasticity (T Valent)Maximum Principles in Classical Elasticity (L T Wheeler) Readership: Applied mathematicians. keywords:Linear Elasticity;Nonlinear Elasticity;Maximum Principle in Elasticity;Wave Propagation;Existence and Uniqueness in PDE;Live Boundary Problems in Elasticity;Decay of Solutions to PDE;Saint Venant's Principle;Existence in Linear Elasticity;Uniqueness in Exterior Domains
Category: Mathematics

Elasticity In Engineering Mechanics

Author : Arthur P. Boresi
ISBN : 0470880384
Genre : Science
File Size : 41.12 MB
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Elasticity in Engineering Mechanics has been prized by many aspiring and practicing engineers as an easy-to-navigate guide to an area of engineering science that is fundamental to aeronautical, civil, and mechanical engineering, and to other branches of engineering. With its focus not only on elasticity theory, including nano- and biomechanics, but also on concrete applications in real engineering situations, this acclaimed work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals.
Category: Science

Elasticity

Author : Martin H. Sadd
ISBN : 008047747X
Genre : Science
File Size : 27.51 MB
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Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. Contains exercises for student engagement as well as the integration and use of MATLAB Software Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Category: Science

Elasticity

Author : J. R. Barber
ISBN : 9789048138081
Genre : Technology & Engineering
File Size : 70.50 MB
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The subject of Elasticity can be approached from several points of view, - pending on whether the practitioner is principally interested in the mat- matical structure of the subject or in its use in engineering applications and, in the latter case, whether essentially numerical or analytical methods are envisaged as the solution method. My ?rst introduction to the subject was in response to a need for information about a speci?c problem in Tribology. As a practising Engineer with a background only in elementary Mechanics of - terials, I approached that problem initially using the concepts of concentrated forces and superposition. Today, with a rather more extensive knowledge of analytical techniques in Elasticity, I still ?nd it helpful to go back to these roots in the elementary theory and think through a problem physically as well as mathematically, whenever some new and unexpected feature presents di?culties in research. This way of thinking will be found to permeate this book. My engineering background will also reveal itself in a tendency to work examples through to ?nal expressions for stresses and displacements, rather than leave the derivation at a point where the remaining manipulations would be mathematically routine. The ?rst edition of this book, published in 1992, was based on a one semester graduate course on Linear Elasticity that I have taught at the U- versity of Michigan since 1983.
Category: Technology & Engineering

Physical Mathematics And Nonlinear Partial Differential Equations

Author : Lightbourne
ISBN : 0824773438
Genre : Science
File Size : 84.8 MB
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This volume consists of the proceedings of the conference on Physical Mathematics and Nonlinear Partial Differential Equations held at West Virginia University in Morgantown. It describes some work dealing with weak limits of solutions to nonlinear systems of partial differential equations.
Category: Science

Theory Of Shells

Author : Philippe G. Ciarlet
ISBN : 0080511236
Genre : Technology & Engineering
File Size : 61.98 MB
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The objective of Volume III is to lay down the proper mathematical foundations of the two-dimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of two-dimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter.
Category: Technology & Engineering

Computational Methods In Elasticity And Plasticity

Author : A. Anandarajah
ISBN : 1441963790
Genre : Technology & Engineering
File Size : 42.67 MB
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Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available. Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.
Category: Technology & Engineering