On the Role of Anisotropy in Crystalloacoustics -- Surface Waves of Non-Rayleigh Type -- Nonlinearity in Elastic Surface Waves Acts Nonlocally -- Explicit Secular Equations for Surface Waves in an Anisotropic Elastic Half-Space from Rayleigh to Today -- “Nongeometrical Phenomena” in Propagation of Elastic Surface Waves -- Complex Rays and Internal Diffraction at the Cusp Edge -- Edge Waves in the Fluid Beneath an Elastic Sheet with Linear Nonhomogeneity -- On Continuum Modelling of Wave Propagation in Layered Medium; Bending Waves -- Edge Localised Bending Waves in Anisotropic Media: Energy and Dispersion -- Surface Electromagnetic Perturbations Induced by Unsteady-State Subsurface Flow -- Resonant Waves in a Structured Elastic Halfspace -- Numerical Analysis of Rayleigh Waves in Anisotropic Media -- Guided Waves in Anisotropic Media: Applications -- A General Purpose Computer Model for Calculating Elastic Waveguide Properties, with Application to Non-Destructive Testing -- The Influence of the Initial Stresses on the Dynamic Instability of an Anisotropic Cone -- Embedding Theorem and Mutual Relation for the Interface and Shear Wavespeeds -- The Non-Uniqueness of Constant Velocity Crack Propagation -- Embedding Formulae for Planar Cracks -- Wave Propogation and Crack Detection in Layered Structures.

The most urgent problems in relation to surface wave analysis and applications, which are comprehensively discussed here, are: Development of an adequate theory to analyze the "forbidden" direction problem for genuine surface waves; analyzing nonclassical surface waves propagating in forbidden directions; development of efficient numerical methods and algorithms to analyze surface waves (including Love and Lamb waves) propagating in homogeneous and layered media with both arbitrary elastic anisotropy and plasticity and having a complex internal structure; development of experimental and theoretical procedures to identify material properties, and solitary and dispersed defects by non-destructive testing; development of efficient analytical and numerical methods to analyze surface waves in porous, water-saturated media and ice fields; development of analytical and numerical methods to analyze interactions of cracks, faults, step discontinuities and edges with surface waves; improving the theory of crack propagation in relation to the analysis of surface wave velocities; and developing a theory to predict the behaviour of nonlinear surface waves.