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Airy stress function aluminum alloy applied boundary collocation procedure boundary conditions boundary stations center slant cracked circumferentially crack-notched round circumferentially cracked round clip gages collocation method combined mode I-III complex stress functions component coordinates crack instability crack length crack surface crack tip element crack tip stress crack-notched round bar cracked rectangular plates cracked round bar critical stress intensity curve fatigue crack finite element method Finite Plate fracture mechanics fracture testing function of number geometry and loading Kjjj least square least square sense linear linear elastic loading conditions mode I-II nodal point number of boundary number of coefficients obtained plane strain precracking pure bending pure mode radius ratio ring element round bar specimens shear shear stress shown in Fig slant cracked specimen specimens tested spherical cavity strain energy stress field stress intensity factors subjected to torsion surface tractions tensile load test specimen tip stress intensity triangular elements V-notch yield stress