State of Stress During Solidification With Varying Freezing Pressure and Temperature

An analysis is presented to estimate the state of stress when solidification occurs with varying liquid pressure and freezing temperature. A model assuming the state of stress in the freezing front is presented. An equation expressing mass conservation at the freezing front is derived. The solid is described by a linear isotropic thermoelastic model. Numerical results are given for inward freezing with spherical symmetry and infinitely slow solidification rates. It is shown that stresses will remain in the solid after the liquid pressure is released and the external traction is made to vanish.