introduction to continuum mechanics

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Introduction To Continuum Mechanics

Author : David Rubin
ISBN : 9780080983875
Genre : Science
File Size : 76. 30 MB
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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 : J. N. Reddy
ISBN : 9781107025431
Genre : Mathematics
File Size : 82. 59 MB
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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 : Sudhakar Nair
ISBN : 9780521875622
Genre : Mathematics
File Size : 84. 21 MB
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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.

An Introduction To Continuum Mechanics

Author : Morton E. Gurtin
ISBN : 0080918492
Genre : Science
File Size : 35. 41 MB
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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

A One Dimensional Introduction To Continuum Mechanics

Author : Anthony John Roberts
ISBN : 981021913X
Genre : Science
File Size : 59. 75 MB
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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.

Continuum Mechanics

Author : A. J. M. Spencer
ISBN : 9780486139470
Genre : Science
File Size : 90. 35 MB
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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.

Introduction To Continuum Mechanics

Author : I-Shih Liu
ISBN : UCAL:B3680370
Genre : Continuum mechanics
File Size : 71. 28 MB
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Elasticity With Mathematica

Author : Andrei Constantinescu
ISBN : 9781139465625
Genre : Science
File Size : 45. 88 MB
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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.

An Introduction To Continuum Mechanics After Truesdell And Noll

Author : D.R Smith
ISBN : 9789401707138
Genre : Technology & Engineering
File Size : 62. 24 MB
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Introduction To Continuum Mechanics For Engineers

Author : Ray M. Bowen
ISBN : 0486474607
Genre : Science
File Size : 64. 27 MB
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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.

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