Three-dimensional elastic stress and displacement analysis of finite geometry solids containing cracksThe line method of analysis is applied to the Navier-Cauchy equations of elastic equilibrium to calculate the displacement fields in finite geometry bars containing central, surface, and double-edge cracks under extensionally applied uniform loading. The application of this method to these equations leads to coupled sets of simultaneous ordinary differential equations whose solutions are obtained along sets of lines in a discretized region. Normal stresses and the stress intensity factor variation along the crack periphery are calculated using the obtained displacement field. The reported results demonstrate the usefulness of this method in calculating stress intensity factors for commonly encountered crack geometries in finite solids.
Document ID
19770065105
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Kring, J. (NASA Lewis Research Center Cleveland, OH, United States)
Gyekenyesi, J. (NASA Lewis Research Center Cleveland, OH, United States)
Mendelson, A. (NASA Lewis Research Center; U.S. Army, Air Mobility Research and Development Laboratory, Cleveland Ohio, United States)