Finite Element Analysis for Cyclic Plasticity

by I. Kalev, Post-Doctoral Research Fellow; Dept. of Structures, Faculty of Civ. Engrg., Technion-Israel Inst. of Tech., Haifa, Israel,
Jacob Gluck, Assoc. Prof.; Dept. of Structures, Faculty of Civ. Engrg., Technion-Israel Inst. of Tech., Haifa, Israel Israel,


Serial Information: Journal of the Engineering Mechanics Division, 1977, Vol. 103, Issue 1, Pg. 189-201


Document Type: Journal Paper

Abstract: A hardening model for representing the cyclic plasticity behavior is described. The concept of several yield is described. The concept of several linear hardening rule is surfaces, each of which obeys Prager's linear hardening rule is employed. The nonlinear stress-strain curve is idealized by piecewise segments. A finite element solution is combined with the present hardening model. The solution combines linear iterations with incremental procedure and equilibrium corrections. Numerical results are presented for a rectangular strip with cyclic dependent hardening properties. The influence of the number of iterations on the solution accuracy is checked and compared with alternative approach. Experimental results of a notched bar subjected to three cyclic loading conditions are compared with those predicted from a plane stress finite element model.

Subject Headings: Finite element method | Linear functions | Plasticity | Cyclic strength | Stress strain relations | Curvature | Equilibrium

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