Abstract

Experimental evaluation of J– R curve in a crack growth situation requires ` η pl' and ` γ' functions that are specific to a cracked geometry and loading condition. All derivations of existing ` η pl' and ` γ' functions are for specific cracked geometry and loading. In this paper, direct limit load based general equations of ` η pl' and ` γ' functions have been derived. Subsequently, new ` η pl' and ` γ' functions, which are not available in the literature, for pipe and elbow geometry with various crack configurations under different loading conditions have been derived. The derivations of ` η pl' and ` γ' functions for throughwall circumferentially cracked elbow under in-plane bending moment uses the very recently proposed new limit load formulas.

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