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Numerical Analysis Method of Overlay Model for Material Nonlinearity Considering Strain Hardening  

Baek, Ki Youl (세종대학교 건축공학과 BK21)
Publication Information
Journal of Korean Society of Steel Construction / v.19, no.3, 2007 , pp. 291-301 More about this Journal
Abstract
The overlay model is a certain kinds of numerical analysis method to present the material non-lineariy which is represented the baushinger effect and the strain hardening. This model simulates the complex behavior of material by controlling the properties of the layers which like the hardening ratio, the section area and the yield stress. In this paper, the constitutive equation and plastic flow rule of each layer which are laid in the plane stress field are obtained by using the thermodynamics. Two numerical examples were tested for the validity of proposed method in uniaxial stress and plane stress field with comparable experimental results. The only parameter for the test is the yield stress distribution of each layers.
Keywords
Overlay model; Strain hardening; Thermodynamics; Plane stress field; von Mises yield function;
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1 Besseling, J.F.(1958) A Theory of elastic, plastic and creep deformation of an initially isotropic Material Showing anisotropic Strain-hardening, creep recovary, and secondary creep, J. Appl. Mech. Trans. ASME, pp. 529-536
2 Drucker, D.C.(1950) Some implications of work-hardening and ideal plasticity, J. Appl. Mech. Vol.7, pp. 411-418
3 元結 正次浪, 白奇烈(2007) 完全弾塑性体から成るサブレイヤーモ デルの1軸応力場に對する巨視的評価 手法, 日本建築學会 構造系論文集,No. 611, pp. 87-94
4 Simo, J.C., Ju, J.W.(1987) Strain and stress baesed continum damage models I ; formulation, Int. J. Solid Struct. Vol 23, No. 7, pp. 821-840   DOI   ScienceOn
5 Dafalias, Y.F., Popov, E.P (1976) Plastic internalvariables formulation of cyclic plasticity, J. Appl. Mech. Vol 43, pp. 645-650   DOI
6 石川 博将 (2000) 個体の非線形力學, 養賢堂
7 Owen, D.R.J., Prakash, A. and Zienkiewicz, O.C.(1974) Finite element analysis of non-linear composite materials by use of overlay systems. Comput. Struct. Vol 4, pp. 1251-1267   DOI   ScienceOn
8 Wu, H.C., Yao, J.C, Chu, S.C.(1986) Investigation of endochronic constitutive equation subject to plastic strain-controlled axial-torsional deformation, J. Eng. Mech. Vol 108, pp. 262-269
9 Schiffner, K.(1995) Overlay models for structural analysis under cyclic loading, Comput. Struct. Vol 56, pp. 321-328   DOI   ScienceOn
10 Silva, R.C.C., Landau, L. and Rebeiro, F.L.B(2000) Visco plastic h-adaptive analysis, Comput. Struct. Vol 78, pp. 123-131   DOI   ScienceOn
11 Prager, W.(1959) A new method of analyzing stress and strain in work-hardening, J. Appl. Math. Vol.23, pp. 529-535
12 Zienkiewicz, O.C., Nayak and Owen, D.R.J.(1972) Composite and overlay models in numerical analysis of elasto-plastic continua, Int. Symp. Foundation of Plasticity, Sawczuk, Warsaw