Computational Continuum Mechanics

Cambridge University Press
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This book presents the nonlinear theory of continuum mechanics and demonstrates its use in developing nonlinear computer formulations for large displacement dynamic analysis. Basic concepts used in continuum mechanics are presented and used to develop nonlinear general finite element formulations that can be effectively used in large displacement analysis. The book considers two nonlinear finite element dynamic formulations: a general large deformation finite element formulation and a formulation that can efficiently solve small deformation problems that characterize very stiff structures. The book presents material clearly and systematically, assuming the reader has only basic knowledge in matrix and vector algebra and dynamics. The book is designed for use by advanced undergraduates and first-year graduate students. It is also a reference for researchers, practising engineers, and scientists working in computational mechanics, bio-mechanics, computational biology, multibody system dynamics, and other fields of science and engineering using the general continuum mechanics theory.
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Cambridge University Press
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Published on
Mar 10, 2008
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Science / Mechanics / Fluids
Science / Mechanics / Solids
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Continuum Mechanics for Engineers, Third Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. The impetus for this latest edition was the need to suitably combine the introduction of continuum mechanics, linear and nonlinear elasticity, and viscoelasticity for a graduate-level course sequence. An outgrowth of course notes and problems used to teach these subjects, the third edition of this bestselling text explores the basic concepts behind these topics and demonstrates their application in engineering practice.

Presents Material Consistent with Modern Literature

A new rearranged and expanded chapter on elasticity more completely covers Saint-Venant’s solutions. Subsections on extension, torsion, pure bending and flexure present an excellent foundation for posing and solving basic elasticity problems. The authors’ presentation enables continuum mechanics to be applied to biological materials, in light of their current importance. They have also altered the book’s notation—a common struggle for many students—to better align it with modern continuum mechanics literature. This book addresses students’ need to understand the sophisticated simulation programs that use nonlinear kinematics and various constitutive relationships. It includes an introduction to problem solution using MATLAB®, emphasizing this language’s value in enabling users to stay focused on fundamentals.

This book provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. With an abundance of worked examples and chapter problems, it carefully explains necessary mathematics as required and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills. Through a mastery of this volume’s contents and additional rigorous finite element training, they will develop the mechanics foundation necessary to skillfully use modern, advanced design tools.

Computational Dynamics, 3rd edition, thoroughly revised andupdated, provides logical coverage of both theory and numericalcomputation techniques for practical applications.

The author introduces students to this advanced topic coveringthe concepts, definitions and techniques used in multi-body systemdynamics including essential coverage of kinematics and dynamics ofmotion in three dimensions. He uses analytical tools includingLagrangian and Hamiltonian methods as well as Newton-EulerEquations.

An educational version of multibody computer code is nowincluded in this new edition that can beused for instruction and demonstration of the theories andformulations presented in the book, and a new chapter is includedto explain the use of this code in solving practical engineeringproblems.

Most books treat the subject of dynamics from an analyticalpoint of view, focusing on the techniques for analyzing theproblems presented. This book is exceptional in that it covers thepractical computational methods used to solve "real-world"problems. This makes it of particular interest not only for senior/graduate courses in mechanical and aerospace engineering, but alsoto professional engineers.

Modern and focused treatment of the mathematical techniques,physical theories and application of rigid body mechanics thatemphasizes the fundamentals of the subject, stresses the importanceof computational methods and offers a wide variety ofexamples.Each chapter features simple examples that show the main ideasand procedures, as well as straightforward problem sets thatfacilitate learning and help readers build problem-solvingskills
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