Fundamentals of Continuum Mechanics

With Applications to Mechanical, Thermomechanical, and Smart Materials


  • Stephen Bechtel, Professor Emeritus in the Department of Mechanical & Aerospace Engineering at The Ohio State University
  • Robert Lowe, Presidential Fellow in the Department of Mechanical & Aerospace Engineering at The Ohio State University

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.
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Engineers and scientists involved in mathematical and computational modeling in solid mechanics, fluid mechanics, thermodynamics, and materials science; graduate students in engineering, physics, applied mathematics, and materials science.


Book information

  • Published: November 2014
  • ISBN: 978-0-12-394600-3

Table of Contents

  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