Introduction to Rational Elasticity
Author : Chao-cheng Wang
Publisher : Springer Science & Business Media
Page : 578 pages
File Size : 31,27 MB
Release : 1973-12-31
Category : Science
ISBN : 9789001937102
Author : Chao-cheng Wang
Publisher : Springer Science & Business Media
Page : 578 pages
File Size : 31,27 MB
Release : 1973-12-31
Category : Science
ISBN : 9789001937102
Author : Leonhard Euler
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 13,17 MB
Release : 1980
Category : Mathematics
ISBN : 9783764314415
1 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".
Author : Jerrold E. Marsden
Publisher : Courier Corporation
Page : 578 pages
File Size : 33,18 MB
Release : 2012-10-25
Category : Technology & Engineering
ISBN : 0486142272
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.
Author : Holm Altenbach
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 29,6 MB
Release : 2012-10-17
Category : Science
ISBN : 3709113717
On 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.
Author : Victor A. Eremeyev
Publisher : Springer Science & Business Media
Page : 145 pages
File Size : 41,94 MB
Release : 2012-07-25
Category : Science
ISBN : 3642283535
The 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.
Author : Robert Asaro
Publisher : Cambridge University Press
Page : 833 pages
File Size : 28,65 MB
Release : 2006-01-16
Category : Science
ISBN : 1139448994
Mechanics 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.
Author : Constantine M. Dafermos
Publisher : Springer Science & Business Media
Page : 758 pages
File Size : 13,10 MB
Release : 2012-12-06
Category : Science
ISBN : 3642616348
This 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.
Author : Dan Dubina
Publisher : World Scientific
Page : 598 pages
File Size : 22,87 MB
Release : 1996-08-16
Category :
ISBN : 1783263555
Since 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.
Author : Miroslav Silhavy
Publisher : Springer Science & Business Media
Page : 511 pages
File Size : 21,28 MB
Release : 2013-11-27
Category : Science
ISBN : 3662033895
From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter
Author : Philippe G. Ciarlet
Publisher : SIAM
Page : 521 pages
File Size : 31,1 MB
Release : 2022-01-22
Category : Mathematics
ISBN : 1611976782
The 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.