On the Iwan models for lap-type bolted joints

Ivan I. Argatov, Eric A. Butcher

Research output: Contribution to journalArticlepeer-review

74 Scopus citations


The paper presents mathematical modeling of the non-linear constitutive relation for bolted joints in the framework of the KragelskyDemkin theory of rough contact. It is shown that this approach, which maintains the tribology-related features of bolted joint interfaces, leads to a singular Iwan distribution density. In particular, we show that the Iwan density is expressed in terms of the height distribution density of the surface asperities, whereas its singular exponent is determined by the shape exponent of the surface asperities. Following this, constitutive relations for lap joints and the corresponding backbone (force-deflection) curves are obtained. Finally, Masing's hypothesis is applied and Goodman's relation for energy dissipation is recovered in order to describe the effects of cyclic loading. The two cases of a rough surface in contact with a flat surface and of two contacting rough surfaces are treated separately.

Original languageEnglish (US)
Pages (from-to)347-356
Number of pages10
JournalInternational Journal of Non-Linear Mechanics
Issue number2
StatePublished - Mar 2011


  • Bolted joints
  • Hysteresis
  • Iwan model
  • Non-linear

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


Dive into the research topics of 'On the Iwan models for lap-type bolted joints'. Together they form a unique fingerprint.

Cite this