Within the context of the general effort to find a method for the analysis-design of failure resistant structures, the present work utilizes the boundary-only element method for solving problems of thermally driven fracture. This method requires only the discretization of the boundary, eliminating the volume integrals by transforming them to boundary ones. The problems under examination are kinked, curved and interfacial cracks under uniform thermal loading, linear cracks under thermal shock, radial cracks under thermomechanical shock in composites and finally quasistatic crack extension under uniform thermal loading in homogeneous and bi-materials. Crack surface discretization is performed through the subdomain technique, while the singular behavior of displacementtemperature and stress -heat flux fields near the crack tip, is modeled via the quarter-point elements. Generalized expressions of the well-known displacement and traction-based stress intensity factor computation formulas, were constructed.The computed stress intensity factors, as well as the crack extension paths, obtained using four different crack extension criteria, are compared with experimental, analytical and computational results found in the literature. The method shows excellent and stable performance in respect of accuracy and convergence in the whole range of crack shapes and sizes that have been encountered, using relatively coarse meshes. This fact alone makes the current method more efficient, in terms of computer speed and memory, than other traditional or not methods that are in use today and therefore much more attractive as an analysis -design tool of failure resistant thermally loaded structures.
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