In the research field of vehicle crash mechanics one of the most important task is finding a model for the deformational force, which gives acceptable approximation, but doesn't need perfect knowledge about the parameters of the vehicle. The FEM based methods, which are applied in the engineering practice give good approximations, but they have extremely large computational complexity and need a large amount of data. On the other hand there exist simple force models, but they not approximate well in details the force-deflection curve. In this paper we introduce a force model for vehicle deformation based on the LPV-HOSVD paradigm, which well approximates the force during the deformational process and has acceptable complexity.