An Introduction to Continuum Mechanics

Author: J. N. Reddy
Publisher: Cambridge University Press
ISBN: 1107025435
Format: PDF, ePub
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This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.

Introduction to Continuum Mechanics

Author: David Rubin
Publisher: Newnes
ISBN: 0080983871
Format: PDF
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Continuum mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples and problems, many with solutions. Through the addition of more advanced material (solution of classical elasticity problems, constitutive equations for viscoelastic fluids, and finite deformation theory), this popular introduction to modern continuum mechanics has been fully revised to serve a dual purpose: for introductory courses in undergraduate engineering curricula, and for beginning graduate courses.

An Introduction to Continuum Mechanics

Author: Morton E. Gurtin
Publisher: Academic Press
ISBN: 9780080918495
Format: PDF, Docs
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This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure

Introduction to Continuum Mechanics

Author: Sudhakar Nair
Publisher: Cambridge University Press
ISBN: 0521875625
Format: PDF, Kindle
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This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practice. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modeling of material behavior.

A One dimensional Introduction to Continuum Mechanics

Author: Anthony John Roberts
Publisher: World Scientific
ISBN: 9789810219130
Format: PDF, ePub, Mobi
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Many textbooks on continuum mechanics plunge students in at the ?deep end? of three-dimensional analysis and applications. However a striking number of commonplace models of our physical environment are based entirely within the dynamics of a one-dimensional continuum. This introductory text therefore approaches the subject entirely within such a one-dimensional framework.The principles of the mathematical modeling of one-dimensional media constitute the book's backbone. These concepts are elucidated with a diverse selection of applications, ranging from tidal dynamics and dispersion in channels to beam bending, algal blooms, blood flow, and the greenhouse effect.The book is ideally suited to elementary undergraduate courses as it makes no use of multivariable calculus. A number of graded problems are included at the end of each section.

Introduction to Continuum Mechanics for Engineers

Author: Ray M. Bowen
Publisher:
ISBN: 9780486474601
Format: PDF, ePub
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This self-contained graduate-level text introduces classical continuum models within a modern framework. Its numerous exercises illustrate the governing principles, linearizations, and other approximations that constitute classical continuum models. Starting with an overview of one-dimensional continuum mechanics, the text advances to examinations of the kinematics of motion, the governing equations of balance, and the entropy inequality for a continuum. The main portion of the book involves models of material behavior and presents complete formulations of various general continuum models. The final chapter contains an introductory discussion of materials with internal state variables. Two substantial appendixes cover all of the mathematical background necessary to understand the text as well as results of representation theorems. Suitable for independent study, this volume features 280 exercises and 170 references.

Elasticity with Mathematica

Author: Andrei Constantinescu
Publisher: Cambridge University Press
ISBN: 1139465627
Format: PDF, Kindle
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This book, first published in 2007, introduces key ideas and principles in the theory of elasticity with the help of symbolic computation. Differential and integral operators on vector and tensor fields of displacements, strains and stresses are considered on a consistent and rigorous basis with respect to curvilinear orthogonal coordinate systems. As a consequence, vector and tensor objects can be manipulated readily, and fundamental concepts can be illustrated and problems solved with ease. The method is illustrated using a variety of plane and three-dimensional elastic problems. General theorems, fundamental solutions, displacements and stress potentials are presented and discussed. The Rayleigh-Ritz method for obtaining approximate solutions is introduced for elastostatic and spectral analysis problems. Containing more than 60 exercises and solutions in the form of Mathematica notebooks that accompany every chapter, the reader can learn and master the techniques while applying them to a large range of practical and fundamental problems.

Advanced Structural Mechanics

Author: David Johnson
Publisher: Thomas Telford
ISBN: 9780727728609
Format: PDF, Mobi
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In recent years an increasing emphasis has been placed on numerically based methods of structural analysis. This has been reflected in the production of structural mechanics texts that are orientated towards particular numerical methodologies, especially the finite element method. Whilst this approach serves the needs of potential 'research' engineers, a concentration on the numerical analysis aspects of structural mechanics is of less relevance to 'professional' engineers, who are likely to be concerned with the use and interpretation of numerical analyses, but not in the development of the methodologies. It is to this group that Advanced Structural Mechanics is especially addressed, offering a broad introduction to the principal themes of continuum mechanics and structural dynamics. This new edition of the popular book includes a greater focus on worked examples, problems and solutions to engage the reader.

Continuum Mechanics

Author: A. J. M. Spencer
Publisher: Courier Corporation
ISBN: 0486139476
Format: PDF, Mobi
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Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.