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Mathematical Investigation of Contact Problems with Friction in Fracture Dynamics

In: Integral Methods in Science and Engineering

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  • Vladimir V. Zozulya

Abstract

Contact interactions arise in various problems in mechanics and engineering. A distinctive feature of such problems is that the area of close contact and the forces of contact interaction are unknown beforehand. They must be defined during the solution of the problem. The boundary conditions at the contact area are nonlinear, and they depend on the deformations and the traction in this area. The mathematical statement of unilateral contact problems consists of nonlinear boundary conditions at the contact area, which take the form of inequalities.

Suggested Citation

  • Vladimir V. Zozulya, 2002. "Mathematical Investigation of Contact Problems with Friction in Fracture Dynamics," Springer Books, in: Christian Constanda & Peter Schiavone & Andrew Mioduchowski (ed.), Integral Methods in Science and Engineering, chapter 40, pages 257-262, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0111-3_40
    DOI: 10.1007/978-1-4612-0111-3_40
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