Date of Award
Doctor of Philosophy
Engineering Science and Mechanics
The displacement discontinuity method is reviewed as a numerical technique for computing stresses and displacements distribution over a plane area in a homogeneous, isotropic, linearly elastic material. The elementary solution for a single line crack in an infinite body is derived. The displacement function over the line segment is assumed to be linear of the form ax + b, where a and b are functions of the displacement at the extreme nodes of the line segment. The numerical technique used to overcome the indefinite values of the analytical solution at the singular node points is explained. The problem of a pressurized line crack in an infinite body is fully investigated. Also studied are the problems of a circular disk acted upon by uniform radial pressures, and a circular hole in a thin infinite plate subjected to uniaxial tensile loads. In all cases, values resulting from the application of the linear displacement discontinuity method, the constant displacement discontinuity method and the theoretical method are examined and compared. The computer programs used to obtain the numerical results are documented in the Appendixes.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Mahmoud C. Assaad
Assaad, Mahmoud C., "Development of the linear displacement discontinuity method " (1983). Retrospective Theses and Dissertations. 8404.