A First Course In Continuum Mechanics
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Author | : Oscar Gonzalez |
Publisher | : Cambridge University Press |
Total Pages | : 5 |
Release | : 2008-01-17 |
Genre | : Science |
ISBN | : 0521886805 |
The modeling and simulation of fluids, solids and other materials with significant coupling and thermal effects is becoming an increasingly important area of study in applied mathematics and engineering. Necessary for such studies is a fundamental understanding of the basic principles of continuum mechanics and thermodynamics. This book is a clear introduction to these principles. It is designed for a one- or two-quarter course for advanced undergraduate and beginning graduate students in the mathematical and engineering sciences, and is based on over nine years of teaching experience. It is also sufficiently self-contained for use outside a classroom environment. Prerequisites include a basic knowledge of linear algebra, multivariable calculus, differential equations and physics. The authors begin by explaining tensor algebra and calculus in three-dimensional Euclidean space. Using both index and coordinate-free notation, they introduce the basic axioms of continuum mechanics pertaining to mass, force, motion, temperature, energy and entropy, and the concepts of frame-indifference and material constraints. They devote four chapters to different theories of fluids and solids, and, unusually at this level, they consider both isothermal and thermal theories in detail. The book contains a wealth of exercises that support the theory and illustrate various applications. Full solutions to odd-numbered exercises are given at the end of each chapter and a complete solutions manual for all exercises is available to instructors upon request. Each chapter also contains a bibliography with references covering different presentations, further applications and numerical aspects of the theory. Book jacket.
Author | : Yuan-cheng Fung |
Publisher | : Prentice Hall |
Total Pages | : 356 |
Release | : 1977 |
Genre | : Science |
ISBN | : |
Author | : |
Publisher | : Academic Press |
Total Pages | : 417 |
Release | : 1992-02-03 |
Genre | : Mathematics |
ISBN | : 0080873871 |
A First Course in Rational Continuum Mechanics V1
Author | : J. N. Reddy |
Publisher | : Cambridge University Press |
Total Pages | : 479 |
Release | : 2013-07-29 |
Genre | : Mathematics |
ISBN | : 1107025435 |
This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.
Author | : John W. Rudnicki |
Publisher | : John Wiley & Sons |
Total Pages | : 229 |
Release | : 2014-09-22 |
Genre | : Science |
ISBN | : 1118927672 |
A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics. A concise introductory course text on continuum mechanics Covers the fundamentals of continuum mechanics Uses modern tensor notation Contains problems and accompanied by a companion website hosting solutions Suitable as a textbook for introductory graduate courses for students in mechanical and civil engineering
Author | : Clifford Truesdell |
Publisher | : |
Total Pages | : 280 |
Release | : 1977 |
Genre | : Continuum mechanics |
ISBN | : 9780127013015 |
Author | : Oscar Gonzalez |
Publisher | : |
Total Pages | : 394 |
Release | : 2008 |
Genre | : Continuum mechanics |
ISBN | : 9780511645372 |
"A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for self-study, each chapter contains a wealth of exercises, with fully worked solutions to odd-numbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed"--Provided by publisher
Author | : Ellad B. Tadmor |
Publisher | : Cambridge University Press |
Total Pages | : 373 |
Release | : 2012 |
Genre | : Science |
ISBN | : 1107008263 |
Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Author | : P. Chadwick |
Publisher | : Courier Corporation |
Total Pages | : 191 |
Release | : 2012-08-08 |
Genre | : Science |
ISBN | : 048613914X |
DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div
Author | : Franco M. Capaldi |
Publisher | : Cambridge University Press |
Total Pages | : 359 |
Release | : 2012-06-18 |
Genre | : Science |
ISBN | : 1139510576 |
This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples. The author presents both the general continuum theory and the mathematics needed to apply it in practice. The derivation of constitutive models for ideal gases, fluids, solids and biological materials, and the numerical methods required to solve the resulting differential equations, are also detailed. Specifically, the text presents the theory and numerical implementation for the finite difference and the finite element methods in the MatlabĀ® programming language. It includes thirteen detailed MatlabĀ® programs illustrating how constitutive models are used in practice.