The single lap shear tests were conducted on the most popular lead free solder alloy at two different shear strain rates ( γ ̇ =0.01 s −1 and 0.00001 s −1 ) in combination with three different temperatures ( T = 25° C , 75° C , and 125° C ) to determine the viscoplastic model parameters utilizing the shear stress-strain data. The yielding of shear stress-strain curves was predicted and a unified viscoplastic model was proposed to calculate the entire shear stress-strain curves using material parameters and shear modulus. The shear stress-strain curves, which were obtained through lap shear tests and calculated by the model, show a very good relationship. Moreover, a finite element model, which was developed to create a lap shear simulation, calculates the shear stress-strain curves that make a reasonable agreement with the experimental data too. Plastic work/volume for monotonic lap shear and hysteresis curves for cyclic lap shear that are important parameters for predicting crack initiation and propagation of solder joint were calculated using a finite element model. As predicted, the variation of plastic works and hysteresis curves were observed due to strain rate and temperature changes. A thermal cycling simulation, which was created by utilizing the finite element model of lap shear specimen, demonstrates accumulation of plastic work occurred during ramping step rather than dwelling step. • A constitutive model of the solder joint is proposed based on Anand model using lap shear test data. • The yielding of shear stress-strain curves was predicted. • The study implemented finite element analysis to simulate the viscoplastic behavior of a solder joint. • Investigations of Viscoplasticity were reported through monotonic shear, cyclic shear and plastic work. • The cracking behavior was predicted by the model and was ascribed to the ramping stage.
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