Stroh Formalism and Rayleigh Waves

PrefaceChapter 1: The Stroh Formalism for Static ElasticitySection 1.1: Basic ElasticitySection 1.2: Stroh’s Eigenvalue ProblemSection 1.3: Rotational Invariance of Stroh Eigenvector in Reference PlaneSection 1.4: Forms of Basic Solutions When Stroh’s Eigenvalue Problem is DegenerateSection 1.5: Rotational Dependence When Stroh’s Eigenvalue Problem is DegenerateSection 1.6: Angular Average of Stroh’s Eigenvalue Problem: Integral FormalismSection 1.7: Surface Impedance TensorSection 1.8: ExamplesSubsection 1.8.1: Isotropic MediaSubsection 1.8.2: Transversely Isotropic MediaSection 1.9: Justification of the Solutions in the Stroh FormalismSection 1.10: Comments and ReferencesSection 1.11: ExercisesChapter 2: Applications in Static ElasticitySection 2.1: Fundamental SolutionsSubsection 2.1.1: Fundamental Solution in the Stroh FormalismSubsection 2.1.2: Formulas for Fundamental Solutions: ExamplesSection 2.2: PiezoelectricitySubsection 2.2.1: Basic TheorySubsection 2.2.2: Extension of the Stroh FormalismSubsection 2.2.3: Surface Impedance Tensor of PiezoelectricitySubsection 2.2.4: Formula for Surface Impedance Tensor of Piezoelectricity: ExampleSection 2.3: Inverse Boundary Value ProblemSubsection 2.3.1: Dirichlet to Neumann mapSubsection 2.3.2: Reconstruction of Elasticity TensorSubsubsection 2.3.2.1: Reconstruction of Surface Impedance Tensor from Localized Dirichlet to Neumann MapSubsubsection 2.3.2.2: Reconstruction of Elasticity Tensor from Surface Impedance TensorSection 2.4: Comments and ReferencesSection 2.5: ExercisesChapter 3:  Rayleigh waves in the Stroh formalismSection 3.1: The Stroh Formalism for Dynamic ElasticitySection 3.2: Basic Theorems and Integral FormalismSection 3.3: Rayleigh Waves in Elastic Half-spaceSection 3.4: Rayleigh Waves in Isotropic ElasticitySection 3.5: Rayleigh Waves in Weakly Anisotropic Elastic MediaSection 3.6: Rayleigh Waves in Anisotropic ElasticitySubsection 3.6.1: Limiting Wave SolutionSubsection 3.6.2: Existence Criterion Based on S_3Subsection 3.6.3: Existence Criterion Based on ZSubsection 3.6.4: Existence Criterion Based on Slowness SectionsSection 3.7: Comments and ReferencesSection 3.8: Exercises