We prove the existence of globally injective weak solutions in mixed boundary-value problems of second-gradient nonlinear elastostatics via energy minimization. This entails the treatment of self-contact. In accordance with the classical (first-gradient) theory, the model incorporates the unbounded growth of the potential energy density as the local volume ratio approaches zero. We work in a cl...

— Hère we present a new solution procedure for contact problems in plane linear elastostatics via boundary intégral variational inequalities having as unknowns the trace of the displacement field and its boundary traction. We admit the case of only traction-contact boundary conditions without prescribing the displacements along some part of the boundary of the elasticly deformed body. Without i...