estimation of mixed-mode fracture parameters by gene expression programming

The linear elastic fracture phenomenon is characterized by stress intensity factors. in this study, a general function was obtained in order to predict the fracture parameters. the numerical calculation of the sifs in a mixed-mode condition is a cumbersome task. in this research, more than 6800 numerical analyses using the extended finite element method were conducted to simulate the fracture problem. states were considered for a plate with an arbitrary edge or center crack. mixed-mode sifs were calculated by the interaction integral. then, gene expression programming (gep) method was utilized to extract a function. results showed acceptable correlations between numerical calculations and genetic programming functions. r-square (r²) values are in the range of 0.91 to 0.96, which guarantee the accuracy of the inferred functions.