Fundamentals of Continuum Mechanics

Stephen Bechtel is a professor emeritus in the Department of Mechanical & Aerospace Engineering at The Ohio State University. He obtained his Ph.D. in Mechanical Engineering from the University of California, Berkeley. He is a Fellow of the American Society of Mechanical Engineers (ASME) and a two-time winner of the Ohio State University College of Engineering Lumley Research Award. His research interests include advanced materials, including polymer/nanoparticle composites, magnetorheological fluids, ferroic solids, and piezoelectric crystals; industrial polymer processing and fiber manufacturing; and shear and extensional characterization of polymer melts and solutions. Robert Lowe is a Presidential Fellow and former American Society of Mechanical Engineers (ASME) Graduate Teaching Fellow in the Department of Mechanical & Aerospace Engineering at The Ohio State University. He conducts research in the Computer Applications of Mechanics Laboratory and the Computational Fluid Dynamics Laboratory. He obtained his B.S. in Mechanical Engineering from Ohio Northern University and his M.S. in Mechanical Engineering from Ohio State. His research interests include theoretical and computational mechanics, vibrations and elastic waves in structures, finite-deformation continuum electrodynamics, and polymer processing.

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