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Investigation of surface wave operators in a nonohomogeneous anisotropic elastic half-space

Klecha T.

Prace Instytutu Podstawowych Problemów Techniki PAN

2000

nr 5

3-11

In the paper new alternative approach to surface wave problem in a nonohomogeneous anisotropic elastic semi-space in terms of stress tensor components vanishing on semi-space boundary is presented. This approach alows to perform analysis of surface wave using Green`s function theory similar as is it done for Sturm-Liouville operations in the space of unbounded measure.

Analysis of Surface Wave Operator in a Nonhomogeneous Isotropic Elastic Semi-space. Part 1

Klecha T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2000

Vol. 48, nr 4

493-498

In the paper a new alternative approach to surface wave problem in a nonhomogeneous isotropic elastic semi-space is presented. The problem is formulated in terms of stress tensor components vanishing on the boundary of a semi-space. This approach allows us to perform analysis of surface waves using a Green's function theory as well as a Sturm-Liouville operator theory.

Existence of Uniqueness of the Solution to the Problem of Surface Wave Propagation in a Nonhomogeneous Isotropic Elastic Half-space

Klecha T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1999

Vol. 47, nr 3

221-225

It is shown that in a nonhomogeneous isotropic elastic half-space with constant density and shear modulus and with Poisson ratio being bounded function of half-space depth belonging to the class [formula] the surface wave is unique.