Quasistatic Evolution of Cavities in Nonlinear Elasticity
Carlos Mora‐Corral · SIAM Journal on Mathematical Analysis · 2014
We show the well-posedness of a free-discontinuity model in nonlinear elasticity allowing for cavitation. The model, based on global minimization, takes into account the noninterpenetration of matter and the inhomogeneties of the material. Then we prove the existence of a quasi-static evolution corresponding to this variational model that takes into account the irreversibility of the process of the cavity formation.