Fundamentals of Continuum Mechanics book cover

Fundamentals of Continuum Mechanics

With Applications to Mechanical, Thermomechanical, and Smart Materials

Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, and materials scientists. This book uses a first-principles-based approach to continuum-level characterization, design, and modeling. While emphasizing modern materials research, it also devotes special attention to constrained materials (for example, incompressible fluids) and the continuum characterization of TEMM smart materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study.

R&D Engineers involved in mathematical and computational modeling in solid mechanics, fluid mechanics, thermodynamics, and materials engineering.  Graduate students in continuum mechanics courses

Hardbound, 320 Pages

Published: May 2014

Imprint: Academic Press

ISBN: 978-0-12-394600-3


    1. Introduction
    2. Direct, Cartesian component and curvilinear component notations
    3. Vector, metric, normed, and inner product spaces
    4. Euclidean 3-space and second-order tensors
    5. Eigenvalues and eigenvectors
    6. tensors of order three and four
    7. tensor calculus: direct notation
    8. tensor calculus: Cartesian component notation
    9. Cartesian coordinates
    10. Curvilinear coordinates
    11. Convected coordinates
    12. Internal constraints
    13. Constrained thermoelastic material
    14. Incompressible viscous fluids
    15. Jump at a singular surface
    16. TEMM smart materials
    17. Restrictions rendered by the 2nd Law of Thermodynamics


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