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, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study.

Engineers and scientists involved in mathematical and computational modeling in solid mechanics, fluid mechanics, thermodynamics, and materials science; graduate students in engineering, physics, applied mathematics, and materials science.

Hardbound, 340 Pages

Published: November 2014

Imprint: Academic Press

ISBN: 978-0-12-394600-3


    1. Vector spaces and inner product spaces
    2. Tensor algebra and tensor calculus
    3. Cartesian coordinates and curvilinear coordinates
    4. Kinematics: motion and deformation
    5. Deformation and strain measures
    6. Kinetics: force and stress
    7. Conservation of mass, linear momentum, and angular momentum
    8. First and second laws of thermodynamics
    9. Nonlinear elastic solids
    10. Viscous and inviscid fluids
    11. Internal constraints and constitutive limits
    12. Incompressibility
    13. Thermal expansion
    14. Continuum electrodynamics
    15. Smart materials


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