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1 International Journal of Applied Mechanics and Engineering

1 2002

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An engineering methodology taking into account the effect of local damage on the global behavior of surface cracked shell structures

Chiesa M., Ostby E., Skallerud B., Thaulow Ch.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 1

267-291

The line spring finite element is a versatile numerical tool for performing engineering fracture mechanics analysis of surface cracked shells. An accurate yield surface of plane strain single-cracked (SEC) specimens having shallow, as well as deep, cracks is presented here. The meaning of the J-integral when crack growth occurs is discussed. The J-integral is regarded as a sort of accumulated measure of the global deformation in the ligament. The complete Gurson is used in order to support our observations. Furthermore a crack propagation law relating a local criterion for crack growth to the global deformation field is outlined. A methodology to link micro-mechanically based crack growth simulations with line spring analysis is proposed by suggesting an alternative way to calculate the J-integral from the line spring framework. Some details of the numerical implementation of the backward Euler integration scheme at the integration point of the line spring element in order to account for plasticity are presented here for a bilinear material model. An efficient numerical procedure, based on a proposed crack growth law, is also presented in order to account for ductile crack propagation. A numerical case is considered in order to show that the proposed procedure is suited to the purpose.