A stress and displacement discontinuity element method for elastic transversely anisotropic rock

作者：Bobet A^*; Marin V Garcia

来源：International Journal for Numerical and Analytical Methods in Geomechanics, 2014, 38(18): 1898-1922.

DOI：10.1002/nag.2284

• stress discontinuity element
• displacement discontinuity element
• transversely anisotropic medium
• FROCK

The paper presents closed-form solutions for stress and displacement influence functions for stress discontinuity (SD) and displacement discontinuity (DD) elements, for a two-dimensional plane-strain elastic, transversely anisotropic medium. The solutions for SD elements are based on Kelvin%26apos;s problem and for DD elements on the concept of dipoles. Stress and displacement influence functions are derived for the following elements: constant SD, linear SD, constant DD, linear DD, square root DD, parabolic DD, constant DD surface, and linear DD surface elements. The formulations are incorporated into FROCK, a hybridized boundary element method code, and are validated by providing comparisons between the results from FROCK and the finite element code ABAQUS. A limited parametric analysis shows the effects of slight anisotropy on the stress field around the tip of a crack and of the orientation of the crack with respect to the axes of elastic symmetry.

• 出版日期2014-12-25