Inelastic Finite Element Analysis Using Tresca Yield Condition

by Subhash C. Anand, (M.ASCE), Prof.; Dept. of Civ. Engrg., Clemson Univ., Clemson, S.C.,
Frank E. Weisgerber, Asst. Prof.; Dept.of Civ. Engrg., Univ. of Pittsburgh, Pittsburgh, Pa.; formerly, Grad. Student, Dept. of Civ. Engrg., Clemson Univ., Clemson, S.C.,

Serial Information: Journal of the Engineering Mechanics Division, 1977, Vol. 103, Issue 1, Pg. 1-16

Document Type: Journal Paper


A derivation of elastic-plastic stress rate-strain rate relations for strain-hardening materials in plane stress condition is presented in this paper for materials that obey Tresca yield condition. The development is similar to that for von Mises yield condition but differs significantly due to the special considerations necessary in dealing with the corners of the yield surface. These relationships are employed to obtain an elastic-plastic solution for a notched plate of strain-hardening material subjected to a monotonically increasing tensile load. The results are compared to those previously available in the literature. It is shown that the stress-strain relations developed for Tresca yield condition can be used as easily as those of von Mises yield condition which have commonly been employed. The resulting solution is more conservative and leads to safe results.

Subject Headings: Finite element method | Inelasticity | Elastic analysis | Strain hardening and softening | Ultimate strength | Stress strain relations | Plates | Tension members

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