Determination of asymptotic field coefficients for V-notches by the weak form quadrature element method

Abstract

Weak form quadrature element methods (QEM) are chosen for determination of asymptotic field coefficients for in-plane V-notch problems. The entire domain is divided into two parts the potential energies of which are computed separately. Stress and displacement descriptions are introduced into the sector domain around the notch tip. Coefficients are extracted from the algebraic equations directly after introducing the minimum potential energy principle. The effect of higher order terms on the local stress and displacement descriptions near V-notch tip is analyzed. High adaptivity and fast convergence of the QEM are demonstrated. Comparisons of several benchmark example results and those in the literature are made to validate the present formulation.