De. Katsareas et Nk. Anifantis, ON THE COMPUTATION OF MODE-I AND MODE-II THERMAL-SHOCK STRESS INTENSITY FACTORS USING A BOUNDARY-ONLY ELEMENT METHOD, International journal for numerical methods in engineering, 38(24), 1995, pp. 4157-4169
A time domain boundary-only element method is used for the analysis of
fractured planar bodies, subjected to thermal shock type loads. The u
ncoupled quasistatic thermoelasticity equations are solved without the
need for domain discretization. The singular behaviour of the tempera
ture and displacement fields, in the vicinity of the crack tip, is mod
elled by quarter-point elements. Transient thermal stress and heat flu
x intensity factors are evaluated from computed nodal values, using th
e well-known displacement and traction formulas. The accuracy of the m
ethod, the stability of the solution and the dependence on space-time
discretization is investigated through comparison of present results w
ith analytical and computational ones, taken from the literature. For
mode I and mixed mode two-dimensional problems examined, the method pr
oved to be a potent tool for fracture analysis in presence of severe t
hermal shock loads, even in the microcrack size range. Potent in the s
ense that, it is very stable and cost effective from the space-time di
scretization point of view.