Introduction to Rational Elasticity
Author: C. C. Wang
Publisher:
Published: 1974
Total Pages: 556
ISBN-13:
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Introduction to Rational Elasticity
Author: Chao-cheng Wang
Publisher: Springer Science & Business Media
Published: 1973-12-31
Total Pages: 578
ISBN-13: 9789001937102
DOWNLOAD EBOOKThe Rational Mechanics of Flexible Or Elastic Bodies 1638 - 1788
Author: Leonhard Euler
Publisher: Springer Science & Business Media
Published: 1980
Total Pages: 442
ISBN-13: 9783764314415
DOWNLOAD EBOOK1 We search the concepts and methods ) of the theory of deformable sonds from GALILEO to LAGRANGE. Neither of them achieved much in our subject, but their works serve as 2 termini: With GALILEO's Discorsi in 1638 our matter begins ) (for this is the history of mathematical theory), while LAGRANGE's Mechanique Analitique closed the mechanics of 1) There are three major historical works that bear on our subject. The first is A history of the theory of elasticity and of the strength of materials by I. ToDHUNTER, "edited and completed" by K. PEARSON, Vol. I, Cambridge, 1886. Unfortunately it is necessary to give warning that this book fails to meet the standard set by the histories ToDHUNTER lived to finish. Much of what ToDHUNTER left seems to be rather the rough notes for a book than the book itself; the parts due to PEARSON are fortunately distinguished by square brackets. Researches prior to 1800 are disposed of in the first chapter, 79 pages long and almost entirely the work of PEARSON; as frontispiece to a work whose title restricts it to theory he saw fit to supply a possibly original pen drawing entitled "Rupture. Sur faces of Cast-Iron".
Mathematical Foundations of Elasticity
Author: Jerrold E. Marsden
Publisher: Courier Corporation
Published: 2012-10-25
Total Pages: 578
ISBN-13: 0486142272
DOWNLOAD EBOOKGraduate-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.
Generalized Continua - from the Theory to Engineering Applications
Author: Holm Altenbach
Publisher: Springer Science & Business Media
Published: 2012-10-17
Total Pages: 403
ISBN-13: 3709113717
DOWNLOAD EBOOKOn the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.
Foundations of Micropolar Mechanics
Author: Victor A. Eremeyev
Publisher: Springer Science & Business Media
Published: 2012-07-25
Total Pages: 145
ISBN-13: 3642283535
DOWNLOAD EBOOKThe book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.
Mechanics of Solids and Materials
Author: Robert Asaro
Publisher: Cambridge University Press
Published: 2006-01-16
Total Pages: 833
ISBN-13: 1139448994
DOWNLOAD EBOOKMechanics of Solids and Materials intends to provide a modern and integrated treatment of the foundations of solid mechanics as applied to the mathematical description of material behavior. The 2006 book blends both innovative (large strain, strain rate, temperature, time dependent deformation and localized plastic deformation in crystalline solids, deformation of biological networks) and traditional (elastic theory of torsion, elastic beam and plate theories, contact mechanics) topics in a coherent theoretical framework. The extensive use of transform methods to generate solutions makes the book also of interest to structural, mechanical, and aerospace engineers. Plasticity theories, micromechanics, crystal plasticity, energetics of elastic systems, as well as an overall review of math and thermodynamics are also covered in the book.
The Breadth and Depth of Continuum Mechanics
Author: Constantine M. Dafermos
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 758
ISBN-13: 3642616348
DOWNLOAD EBOOKThis volume collects papers dedicated to Jerry Ericksen on his sixtieth birthday, December 20, 1984. They first appeared in Volumes 82-90 (1983-1985) of the Archive for Rational Mechanics and Analysis. At the request of the Editors the list of authors to be invited was drawn up by C. M. Dafermos, D. D. Joseph, and F. M. Leslie. The breadth and depth of the works here reprinted reflect the corresponding qualities in Jerry Ericksen's research, teaching, scholarship, and inspiration. His interests and expertness center upon the mechanics of materials and extend to everything that may contribute to it: pure analysis, algebra, geometry, through all aspects of theoretical mechanics to fundamental experiment, all of these illumi nated by an intimate and deep familiarity with the sources, even very old ones. He is independent of school and contemptuous of party spirit; his generosity in giving away his ideas is renowned, but not everyone is capable of accepting what is offered. His writings are totally free of broad claims and attributions beyond his own study. Some are decisive, some are prophetic, and all are forthright. His work has served as a beacon of insight and simple honesty in an age of ever more trivial and corrupt science. The authors of the memoirs in this volume are his students, colleagues, admirers, and (above all) his friends.
Coupled Instabilities In Metal Structures: Cims'96
Author: Dan Dubina
Publisher: World Scientific
Published: 1996-08-16
Total Pages: 598
ISBN-13: 1783263555
DOWNLOAD EBOOKSince the early 1960s, coupled instabilities — also called compound buckling, simultaneous buckling or interactive buckling — have been a topic that was studied by many researchers. However, despite some excellent theoretical works in this field, the relevant subject is not yet satisfactorily considered in modern design codes for metal structures. To fill up this gap and to improve the current situation, a series of International Conferences 'Coupled Instabilities in Metal Structures' was launched in 1992 with the main aim of encouraging an exchange of views between researchers and engineers on the various aspects of coupled instabilities. The success of the first conference, held at Timisoara (Romania) in 1992, and organized by Professors D Dubina & V Gioncu (Politechnica University of Timisoara) and J Rondal (Univ. of Liège), has encouraged the organization of a second conference, to be held in Liège (Belgium) during September 5-7, 1996. A third conference is still forecast for the year 2000.
Mathematical Elasticity
Author: Philippe G. Ciarlet
Publisher: SIAM
Published: 2022-01-22
Total Pages: 521
ISBN-13: 1611976782
DOWNLOAD EBOOKThe first book of a three-volume set, Three-Dimensional Elasticity covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. It includes the known existence theorems, either via the implicit function theorem or via the minimization of the energy (John Ball’s theory). An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.
