The paper “A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation“, co-authored by Jonathan Bevan and Caterina Ida Zeppieri (University of Münster) has been accepted for publication in the Springer journal Calculus of Variations and PDEs.  Final form preprint can be found here. The paper will be published via gold open access.  In the paper they formulate a sufficient condition for the quasiconvexity at x↦λx of certain functionals I(u) which model the stored-energy of elastic materials subject to a deformation u. The materials they consider may cavitate, and so we impose the well-known technical condition (INV), due to Müller and Spector, on admissible deformations. Deformations obey the condition u(x)=λx whenever x belongs to the boundary of the domain initially occupied by the material. In terms of the parameters of the models, our analysis provides an explicit upper bound on those λ>0 such that I(u)≥I(uλ) for all admissible u, where uλ is the linear map x↦λx applied across the entire domain. This gives the quasiconvexity condition referred to above.