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

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

by Stephen Bechtel, Robert Lowe

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Overview

Fundamentals of Continuum Mechanics: With Applications to Mechanical, Thermomechanical, and Smart Materials by Stephen Bechtel, Robert Lowe

Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, and materials scientists. This book uses a first-principles-based approach to continuum-level characterization, design, and modeling. While emphasizing modern materials research, it also devotes special attention to constrained materials (for example, incompressible fluids) and the continuum characterization of TEMM smart 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 math presentation, leading to better understanding of the underlying physics
  • Covers high-interest research areas such as constrained materials and characterization of smart materials used in intelligent systems and structures
  • Offers a unique approach to covering thermomechanical constraints, based on the authors’ own research

Product Details

ISBN-13: 9780123946003
Publisher: Elsevier Science
Publication date: 11/19/2014
Pages: 340
Product dimensions: 7.80(w) x 9.40(h) x 1.00(d)

About the Author

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.

Table of Contents

  1. Introduction
  2. Direct, Cartesian component and curvilinear component notations
  3. Vector, metric, normed, and inner product spaces
  4. Euclidean 3-space and second-order tensors
  5. Eigenvalues and eigenvectors
  6. tensors of order three and four
  7. tensor calculus: direct notation
  8. tensor calculus: Cartesian component notation
  9. Cartesian coordinates
  10. Curvilinear coordinates
  11. Convected coordinates
  12. Internal constraints
  13. Constrained thermoelastic material
  14. Incompressible viscous fluids
  15. Jump at a singular surface
  16. TEMM smart materials
  17. Restrictions rendered by the 2nd Law of Thermodynamics

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