Abstract
The finite element method (FEM) was used to calculate the J integral for a mode I crack in bulk plates and jointed specimens of lead-free solder under triangular loading wave. First, the path independence of the J integral was confirmed for both bulk plates and jointed specimens. The J integral for a center crack in bulk plates was computed as a function of the crack length under displacement and load controlled conditions. The variation of the computed J integral value agreed with the experimental results. The relation between crack-tip local parameters, such as inelastic strain and inelastic strain energy density, and the J integral was unique irrespective of the loading condition or the specimen type. The computed J integral was correlated to the experimental value of the crack propagation rate. The relation was unique for bulk plates, but the crack propagation rate was slower than the prediction for jointed specimens. This discrepancy for jointed specimens is ascribed to small interface cracks produced in the interface in the crack propagation experiments of jointed specimens.
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