On the Iwan models for lap-type bolted joints

Ivan I. Argatov, Eric Butcher

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

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
Volume46
Issue number2
DOIs
StatePublished - Mar 2011
Externally publishedYes

Fingerprint

Bolted joints
Rough Surface
Constitutive Relations
Tribology
Exponent
Contact
Singular Distribution
Cyclic Loading
Energy Dissipation
Backbone
Mathematical Modeling
Deflection
Rough
Model
Curve
Energy dissipation

Keywords

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

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Applied Mathematics

Cite this

On the Iwan models for lap-type bolted joints. / Argatov, Ivan I.; Butcher, Eric.

In: International Journal of Non-Linear Mechanics, Vol. 46, No. 2, 03.2011, p. 347-356.

Research output: Contribution to journalArticle

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