On the Strains of the Surface Layer on a Rigid Body due to a Statical Force applied to the Surface (2nd Paper)

[摘要] In this paper, the functional forms of applied statical force are of non-axial -symmetry at z=0, _??_=-F2(r) cos mθ sin mθ (m=any integer not equal to zero.) in cylindrical coordinates.At the boundary of two materials the components of displacement uz, ur, uθ limit to zero.Under these conditions the normal displacement uz is expre_??_sed in the following integral with some approximation, where H is the thickness of the surface layer and, where p and q are certain constants.If the force expressed by is applied, we get the following solutions:- and etc.The first terms of these solutions are the solutions which have been introduced in the case of semi-infinite elastic body, and the other terms are correction terms due to the boundary.If we put λ=μ p=5/9, q=4/9 are obtained and at the limits of H→o, displacements becomes clearly zero.

[学科分类] 大气科学