Methods for predicting a structural response and failure of a liner for a well can include receiving geometric properties of the liner; receiving structural properties of the liner; receiving material properties of the liner; developing a numerical model of the liner; calibrating one or more parameters of the constitutive model representing the material of the liner, the calibrating including: determining a numerical burst pressure failure; determining a numerical collapse failure pressure; and simulating the structural response and failure of the numerical model subjected to an expected non-uniform pressure loading of the well, where the numerical model is used to predict the structural response and failure of the liner when installed in the well.