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Fundamentals of Continuum Mechanics

  • ID: 2634376
  • Book
  • 340 Pages
  • Elsevier Science and Technology
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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 physics
  • Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures
  • Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors' own research
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  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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Bechtel, Stephen
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.
Lowe, Robert
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.
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