The Strength of Adhesion

  • Genady P. CherepanovEmail author


A series of most significant problems concerning the motion of a sharp punch on an adhesive, elastic foundation, plate, or membrane are studied using the invariant integral of adhesion of different materials. A film covered most of the bodies is also taken into account. This is, in fact, a new contact mechanics accounting for the adhesion and predicting the resistance forces. Also, in this chapter, the basic mathematical problem of stick and slip on the contact area was, at last, solved after many unsuccessful attempts of such great individuals as Hertz, Prager, Muskhelishvili, and others; the solution of this nonlinear problem appeared to depend on six dimensionless parameters! This chapter is a must for mechanical engineers.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.MiamiUSA

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