Continuum mechanics using Mathematica : fundamentals, applications, and scientific computing
著者
書誌事項
Continuum mechanics using Mathematica : fundamentals, applications, and scientific computing
(Modeling and simulation in science, engineering & technology)
Birkhauser, c2006
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book examines mathematical tools, principles, and fundamental applications of continuum mechanics, providing a solid basis for a deeper study of more challenging problems in elasticity, fluid mechanics, plasticity, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes. The work is suitable for advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering.
目次
Preface.- Elements of Linear Algebra.- Vector Analysis.- Finite and Infinitesimal Deformations.- Kinematics.- Balance Equations.- Constitutive Equations.- Symmetry Groups: Solids and Fluids.- Wave Propagation.- Fluid Mechanics.- Linear Elasticity.- Other Approaches to Thermodynamics.- References.- Index
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