Continuum mechanics using Mathematica : fundamentals, applications, and scientific computing

Author(s)

    • Romano, Antonio
    • Lancellotta, Renato
    • Marasco, Addolorata

Bibliographic Information

Continuum mechanics using Mathematica : fundamentals, applications, and scientific computing

Antonio Romano, Renato Lancellotta, Addolorata Marasco

(Modeling and simulation in science, engineering & technology)

Birkhauser, c2006

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

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.

Table of Contents

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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