Uniqueness of the decision of boundary problems and stability for heterogeneously resistant material

The uniqueness theorem is proved and necessary, sufficient conditions feasibility of postulate stability in small and large are given for a heterogeneously elastic material model for geonetrically linear statment of boundary problem of the elasticity theory based on exact solution inequalities of local convexity elasic potential and stability. It is analised the conditions of uniqueness and stability for a special case: a loose material model and its geometric interpretation is given.