Accession Number : AD0701108

Title :   THE THEORY OF DETERMINATION OF STRESS CHANGES IN A TRANSVERSELY ISOTROPIC MEDIUM, USING AN INSTRUMENTED CYLINDRICAL INCLUSION.

Descriptive Note : Technical rept.,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MINERAL AND METALLURGICAL ENGINEERING

Personal Author(s) : Berry,Denis S. ; Fairhurst,Charles

Report Date : JAN 1970

Pagination or Media Count : 51

Abstract : If an elastic matrix (isotropic or anisotropic) contains a single ellipsoidal inclusion, imposition of stress at infinity produces a uniform elastic field within the inclusion. This result is used for the calculation of relations between the stress imposed at infinity on a transversely isotropic matrix and the stress within an infinite cylindrical isotropic inclusion. Allowance is made for axial strain to occur. General orientation of the axis of the inclusion with respect to the axis of elastic symmetry is treated first and the solution is put into a form from which numerical results may be easily obtained. When the axis of the inclusion is parallel or normal to the elastic axis, separate treatments are necessary, leading to direct relations between the two sets of stress components. The latter results are easily particularized to the case of isotropy, showing the correction for non-zero axial strain which should be added to the equations commonly used, as well as giving extra relations for components acting across planes normal to the inclusion's axis. (Author)

Descriptors :   (*ROCK, STRESSES), DEFECTS(MATERIALS), ANISOTROPY, STRAIN(MECHANICS), BOUNDARY VALUE PROBLEMS, ELASTIC PROPERTIES, SHEAR STRESSES, DEFORMATION, MATHEMATICAL ANALYSIS

Subject Categories : Geology, Geochemistry and Mineralogy
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE