An Introduction to the Theory of Piezoelectricity

1. Front Matter

   Pages i-ix

   PDF

2. Nonlinear Theory of Electroelasticity

   • Jiashi Yang

   Pages 1-51

3. Linear Theory of Piezoelectricity

   • Jiashi Yang

   Pages 53-79

4. Static Problems

   • Jiashi Yang

   Pages 81-111

5. Waves in Unbounded Regions

   • Jiashi Yang

   Pages 113-155

6. Vibrations of Finite Bodies

   • Jiashi Yang

   Pages 157-192

7. Linear Theory for Small Fields on a Finite Bias

   • Jiashi Yang

   Pages 193-205

8. Other Effects

   • Jiashi Yang

   Pages 207-235

9. Piezoelectric Devices

   • Jiashi Yang

   Pages 237-267

10. Back Matter

    Pages 269-287

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This textbook introduces theoretical piezoelectricity. The second edition updates a classical, seminal reference on a fundamental topic that is addressed in every materials science curriculum. It presents a concise treatment of the basic theoretical aspects of continuum modeling of electroelastic interactions in solids. The general nonlinear theory for large deformations and strong fields is established and specialized to the linear theory for small deformations and weak fields, i.e., the theory of piezoelectricity. Relatively simple and useful solutions of many static and dynamic problems of piezoelectricity that are useful in device applications are given. Emphasis is on the formulation of solutions to problems rather than advanced mathematical solution techniques. This book includes many examples to assist and enhance students’ understanding of piezoelectricity and piezoelastics.

• Piezoelectricity textbook
• Electroelasticity
• electromechanical coupling
• piezoelectric devices
• Static problems
• Linear theory of electroelasticity
• Nonlinear theory of piezoelectricity
• Waves in unbounded regions
• Ceramics
• Piezoelectricity applications
• Electroelastic materials

“Many examples are included to help and improve students' understanding of piezo- electricity and piezoelastics. This book can also be an excellent basic reference for novice researchers.” (Adriano Montanaro, Mathematical Reviews, November, 2020)

• Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, USA

  Jiashi Yang

Jiashi Yang received his B.E. and M.E. in Engineering Mechanics in 1982 and 1985 from Tsinghua University, China, M.S. in Mechanical Engineering in 1988 from Syracuse University, USA, and his Ph.D. in Civil Engineering in 1993 from Princeton University, USA. He was a Postdoctoral Fellow from 1993 through 1994 at the University of Missouri-Rolla and from 1994 through 1995 at Rensselaer Polytechnic Institute. He was employed by Motorola, Inc. from 1995 through 1997. Since 1997 he has been an Assistant, Associate, and Full Professor at the Department of Mechanical and Materials Engineering of the University of Nebraska-Lincoln. His main research area is theoretical and numerical modeling of piezoelectric structures and devices.

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