Provides advanced undergraduate and graduate-level students of mechanics and materials with a needed bridge between elementary mechanics of materials and applied elasticity including the linear theories of solid and structural mechanics. The text emphasizes problem solving, approximate theories, and basic concepts of elasticity. Plentiful examples throughout demonstrate how simple approximate methods can be used for solving practical problems in engineering.

Mechanics of elastic structures

Engineering & Transportation

J.T. Oden

Engineering

McGraw-Hill Inc.,US

Mechanics of Elastic Structures

McGraw=Hill

Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view. The text reviews the thermomechanical principles of continuous media and the properties of the finite element method, and then brings them together to produce discrete physical models of nonlinear continua. The mathematical properties of these models are analyzed, along with the numerical solution of the equations governing the discrete model. Though the theory and methods are sufficiently general to be applied to any nonlinear problem, emphasis has been placed on problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. Problems in rarefied gas dynamics and nonlinear partial differential equations are also examined. Other topics include topological properties of finite element models, applications to linear and nonlinear boundary value problems, and discrete models of nonlinear thermomechanical behavior of dissipative media. This comprehensive text is valuable not only to students of structural analysis and continuum mechanics but also to professionals researching the numerical analysis of continua

Finite Elements of Nonlinear Continua (Dover Civil and Mechanical Engineering)

Science & Math

Physics

Dover Publications

This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering &amp; Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&amp;M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.

An Introduction to the Mathematical Theory of Finite Elements (Dover Books on Engineering)

J. N. Reddy

Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods

N. Kikuchi

Mathematics

Society for Industrial and Applied Mathematics

See the best price to sell, buy, or rent books by J.T. Oden. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by J.T. Oden