Eq.(1) and \(\mathcal{G}_{c}\) referes to the Griffith functional and material fracture toughness, respectively. The \(\Omega\) is the reference configuration of the body. The undetermined displacements,\(\mathbf{u}\), as well as the crack set, \(\Gamma\), can be achieved through a global minimization of such functional function under the condition of irreversibility, 25