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.

Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physicsCovers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structuresOffers a unique approach to modeling incompressibility and thermal expansion, based on the authors’ own research

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