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.
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.
Clear and concise, with an emphasis on emerging areas of continuum mechanics research
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
Professor, Mechanical and Aerospace Engineering Ohio State University PhD, University of California, Berkeley Steve's research interests include computer modeling of industrial polymer processing, continuum mechanics, viscoelastic fluid flow, free surface flows and instability mechanisms characterization of industrial and agricultural materials.
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