Methods of the Classical Theory of Elastodynamics

1. Front Matter

   Pages I-X

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2. Introduction

   • Vladimir B. Poruchikov

   Pages 1-3

3. Formulation of Elastodynamic Problems. Some General Results

   • Vladimir B. Poruchikov

   Pages 4-42

4. The Method of Functionally Invariant Solutions (the Smirnov-Sobolev Method)

   • Vladimir B. Poruchikov

   Pages 43-136

5. Integral Transforms in Elastodynamics

   • Vladimir B. Poruchikov

   Pages 137-189

6. Solution to Three-Dimensional Elastodynamic Problems with Mixed Boundary Conditions for Wedge-Shaped Domains

   • Vladimir B. Poruchikov

   Pages 190-219

7. Wiener-Hopf Method in Elastodynamics

   • Vladimir B. Poruchikov

   Pages 220-255

8. Homogeneous Solutions to Dynamic Problems for Anisotropic Elastic Media (Willis’ Method)

   • Vladimir B. Poruchikov

   Pages 256-307

9. Back Matter

   Pages 309-319

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"Methods of the Classical Theory of Elastodynamics" deals not only with classical methods as developed in the past decades, but presents also very recent approaches. Applications and solutions to specific problems serve to illustrate the theoretical presentation. Keywords: Smirnov-Sobolev method with further developments; integral transforms; Wiener-Hopf technique; mixed boundary-value problems; time-dependent boundaries; solutions for unisotropic media (Willis method); 3-d dynamical problems for mixed boundary conditions.

• Elastizität
• Elastodynamik
• Wellenausbreitung
• analytical methods
• analytische Methoden
• dynamics
• elasticity
• elastodynamics
• mathematical method
• mathematical methods
• plasticity
• wave propagation

• Institute of Mechanics, Moscow State University, Moscow, Russia

  Vladimir B. Poruchikov

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