Slip waves along the interface between two anisotropic elastic half- spaces in sliding contact. (English) Zbl 0633.73031
Summary: A variant of the Stoneley-wave problem, namely slip waves between two homogeneous elastic half-spaces whose interface is incapable of supporting shear stresses, is studied. For two isotropic half-spaces there is either no or one slip-wave mode. In the case of anisotropic half-spaces, the possibility of a new slip-wave mode, called the second slip-wave mode, arises. The case of two identical anisotropic half-spaces of the same orientation is discussed in detail; criteria for the existence of a second slip-wave mode in terms of the nature of the transonic state are developed. It is concluded that for many anisotropic media a second slip-wave mode will exist within certain ranges of orientation of the slip-wave geometry. Numerical computations for iron (cubic symmetry) demonstrate that second slip-wave modes indeed exist in this material.
MSC:
74J15 | Surface waves in solid mechanics |
74E10 | Anisotropy in solid mechanics |
74A55 | Theories of friction (tribology) |
74M15 | Contact in solid mechanics |