The paper deals with some aspects of the theory of constraint factor K_W and its application to an assessment of the fracture resistance of the under - and overmatched weld joints. Conclusions from the theoretical analysis form some basis for the application of parameter K_W to an assessment of the fracture parameters. For example, there was made an assessment of the ratio of driving forces δ_R. Furthermore the ratio of r_p~((un/ov))/r_p has been presented as a function of K_W~(un) and K_W~(ov) respectively.
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