Skip to main content
Log in

Mechanical sublayer model for elastic-plastic analyses

  • Published:
Computational Mechanics Aims and scope Submit manuscript

Abstract

Strain-hardening behavior for plane stress problems is modeled by a panel with n layers, the first (n - 1) layers are elastic-perfectly-plastic under Mises-Hencky condition, each with different yield stress, and the n-th layer is elastic. Equivalent incremental stress-strain relations for the panel can be obtained. The resulting uniaxial stress-strain curve contains n segments. Those segments in the plastic range are not straight lines.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Besseling, J.F. (1953): A theory of plastic-flow for anisotropic hardening in plastic deformation of an initially isotropic material. National Aeronautical Res. Inst. Rep. S410, Amsterdam

    Google Scholar 

  • Hunsaker, B., Jr.; Haisler, W.E.; Stricklin, J.A. (1976): On the use of two hardening rules of plasticity in incremental and pseudo force analysis. In: Constitutive equations in viscoplasticity: Computational and engineering aspect. AMD ASME 20, 139–170

    Google Scholar 

  • Leech, J.W.; Witmer, E.A.; Pian, T.H.H. (1968): Numerical calculation technique for large elastic-plastic transient deformations of thin shells. AIAAJ 6, 2352–2359

    Google Scholar 

  • Pian, T.H.H. (1966): Unpublished lecture notes on plasticity

  • Pian, T.H.H. (1984a): Plasticity, viscoplasticity, and creep of solids by mechanical subelement models. In Lewis, R.W.; Bettess, P.; Hinton, E. (eds): Numerical Methods in coupled systems, 119–126. New York: Wiley

    Google Scholar 

  • Pian, T.H.H. (1984b): Time-independent anisotropic plastic behavior by mechanical subelement models. Appl. Mech. Math. 5, 1425–1435

    Google Scholar 

  • Yamada, Y. (1980): Plasticity and viscoelasticity (in Japanese). Foundation and application of finite element methods, vol. 6, Tokyo: Bafukan

    Google Scholar 

  • Zienkiewicz, O.C.; Nayak, G.C.; Owen, D.R.J. (1973): Composite and overlay models in numerical analysis of elasto-plastic continua. In Sawczuk, A. (ed.): Foundations of plasticity. Leyden: Noordhoff

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by S. N. Atluri, April 28, 1986

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pian, T.H.H. Mechanical sublayer model for elastic-plastic analyses. Computational Mechanics 2, 26–30 (1987). https://doi.org/10.1007/BF00282041

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00282041

Keywords

Navigation