Unconventional friction theory based on the subloading surface concept

K. Hashiguchi, S. Ozaki, Takashi Okayasu

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

A constitutive model for the description of friction phenomena is formulated by incorporating the concept of the subloading surface [Hashiguchi, K., 1978. Plastic constitutive equations of granular materials. In: Proc. US-Japan Seminar Continuum Mech. Stast. Appr. Mech. Granular Materials, Sendai, pp. 321-329; Hashiguchi, K., 1980. Constitutive equations of elastoplastic materials with elastic-plastic transition. J. Appl. Mech. (ASME) 47 (1980) 266-272; Hashiguchi, K., 1989. Subloading surface model in unconventional plasticity. Int. J. Solids Struct. 25 (1989) 917-945] falling within the framework of unconventional plasticity [Drucker, D.C., 1988. Conventional and unconventional plastic response and representation. Appl. Mech. Rev. (ASME) 41 (1988) 151-167], which excludes the premise that the interior of a yield surface is a purely elastic domain. It describes the nonlinear relationship between the normal and tangential tractions on a contact surface. Furthermore, it predicts the gradual progress of sliding displacement with an increase in traction, and thus a judgment regarding the fulfillment of the sliding condition is not necessary. This is in contrast to a conventional friction model with a sliding surface enclosing an elastic domain, in which such gradual progress cannot be described and the judgment is required. Thus, a rough numerical calculation with large loading steps even in the explicit numerical method is allowed in the present friction model. In addition, typical friction boundary value problems are analyzed by the finite element method incorporating the present friction model.

Original languageEnglish
Pages (from-to)1705-1727
Number of pages23
JournalInternational Journal of Solids and Structures
Volume42
Issue number5-6
DOIs
Publication statusPublished - Mar 1 2005

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Tribology
Friction
friction
sliding
Plastics
plastics
Granular Materials
Granular materials
traction
granular materials
constitutive equations
Constitutive Equation
Constitutive equations
plastic properties
Plasticity
Explicit Methods
Technical presentations
Elasto-plastic
Constitutive Model
Constitutive models

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Unconventional friction theory based on the subloading surface concept. / Hashiguchi, K.; Ozaki, S.; Okayasu, Takashi.

In: International Journal of Solids and Structures, Vol. 42, No. 5-6, 01.03.2005, p. 1705-1727.

Research output: Contribution to journalArticle

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