Cauchy Tetrahedron Argument Applied to Higher Contact Interactions

摘要: Second gradient theories are nowadays used in many studies order to describe detail some transition layers which may occur micro-structured materials and physical properties sharply varying. Sometimes higher also evoked. Up now these models have not been based on a construction of stresses similar the one due Cauchy, has applied only for simple materials. It widely recognized that fundamental assumption by Cauchy traction depends normal dividing surface cannot be maintained theories. However, this observation did urge any author, our knowledge, revisit adapt it more general conceptual framework. This is what we do paper continuum grade N (also called N-th continuum). Our very Cauchy; tetrahedron argument, does introduce argument different nature. In particular, avoid invoking principle virtual work. As should expect, balance regularity hypotheses adapted new framework tensorial computations become complex.