On stability and efficiency of numerical integration of endochronic constitutive equations

S. Y. Hsu, O. H. Griffin

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Two numerical integration procedures based on a nonlinear finite-difference formulation of the endochronic plasticity theory without a yield surface are discussed. One is for three-dimensional strain-controlled simulation, and the other is for strain-controlled simulation of tension-torsion loading. Unconditional stability of both procedures is proved for strain-hardening materials. The efficiency of the proposed numerical schemes is demonstrated by an extrordinary reduction in the number of tensiontorsion loading steps applied to OFHC copper specimens. The results suggest promising application of finite-difference formulation in finite element analysis using a tangential stiffness method. Since no yield surface is involved, the FE computation should be extremely straightforward.

Original languageEnglish
Pages (from-to)657-665
Number of pages9
JournalComputers and Structures
Volume44
Issue number3
DOIs
Publication statusPublished - 1992 Jul 17

Fingerprint

Constitutive Equation
Constitutive equations
Numerical integration
Finite Difference
Unconditional Stability
Strain Hardening
Formulation
Strain hardening
Copper
Plasticity
Torsional stress
Numerical Scheme
Torsion
Stiffness
Simulation
Finite Element
Finite element method
Three-dimensional

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Cite this

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On stability and efficiency of numerical integration of endochronic constitutive equations. / Hsu, S. Y.; Griffin, O. H.

In: Computers and Structures, Vol. 44, No. 3, 17.07.1992, p. 657-665.

Research output: Contribution to journalArticle

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AB - Two numerical integration procedures based on a nonlinear finite-difference formulation of the endochronic plasticity theory without a yield surface are discussed. One is for three-dimensional strain-controlled simulation, and the other is for strain-controlled simulation of tension-torsion loading. Unconditional stability of both procedures is proved for strain-hardening materials. The efficiency of the proposed numerical schemes is demonstrated by an extrordinary reduction in the number of tensiontorsion loading steps applied to OFHC copper specimens. The results suggest promising application of finite-difference formulation in finite element analysis using a tangential stiffness method. Since no yield surface is involved, the FE computation should be extremely straightforward.

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