Methods of the Classical Theory of Elastodynamics [Paperback]

Methods of the Classical Theory of Elastodynamics dealsnot only with classical methods as developed in the pastdecades, but presents also very recent approaches.Applications and solutions to specific problems serve toillustrate the theoretical presentation.Keywords: Smirnov-Sobolev method with further developments;integral transforms; Wiener-Hopf technique; mixedboundary-value problems; time-dependent boundaries;solutions for unisotropic media (Willis method); 3-ddynamical problems for mixed boundary conditions. Methods of the Classical Theory of Elastodynamics dealsnot only with classical methods as developed in the pastdecades, but presents also very recent approaches.Applications and solutions to specific problems serve toillustrate the theoretical presentation.Keywords: Smirnov-Sobolev method with further developments;integral transforms; Wiener-Hopf technique; mixedboundary-value problems; time-dependent boundaries;solutions for unisotropic media (Willis method); 3-ddynamical problems for mixed boundary conditions.1. Introduction.- 2. Formulation of Elastodynamic Problems. Some General Results.- 2.1 Fundamental Equations of Elastodynamics.- 2.2 Initial and Boundary Conditions. Interfaces.- 2.3 Constraints Imposed on the Solution Behavior in the Neighborhood of Singular Points/Curves.- 2.4 Continuous and Discontinuous Solutions.- 2.5 Uniqueness Theorem for Solutions to Elastodynamic Problems with Strong Discontinuities.- 2.6 The GreenVolterra Formula.- 2.7 Various Representations of Solutions to the Equations of Motion of a Homogeneous Isotropic Medium.- 2.7.1 Lam? Representation.- 2.7.2 The Case of a Separable Solution to the Vector Wave Equation.- 2.7.3 Iacovaches Representation.- 2.7.4 Representation Employing PapkovichNeuber Functions.- 2.8 On the Relationships Between Solutions of Transient Dynamic Problems and Those of Static, Steady-State and Stalӻ