Fundamentals of Continuum Mechanics
With Applications to Mechanical, Thermomechanical, and Smart Materials

Clear and concise, with an emphasis on emerging areas of continuum mechanics research

Stephen Bechtel (Author), Robert Lowe (Author)

9780123946003, Elsevier Science

Hardback, published 7 November 2014

340 pages
23.4 x 19 x 2.4 cm, 0.82 kg

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.

1. Vector spaces and inner product spaces2. Tensor algebra and tensor calculus3. Cartesian coordinates and curvilinear coordinates4. Kinematics: motion and deformation5. Deformation and strain measures6. Kinetics: force and stress7. Conservation of mass, linear momentum, and angular momentum8. First and second laws of thermodynamics9. Nonlinear elastic solids10. Viscous and inviscid fluids11. Internal constraints and constitutive limits12. Incompressibility13. Thermal expansion14. Continuum electrodynamics15. Smart materials

Subject Areas: Mechanics of solids [TGMD], Classical mechanics [PHD]