engleski

Finite Elements Modelling of Plastic Zones Spreading in the thin Plates with Geometrical Discontinuities

An incremental formulation of the basic equations of the finite element method is described in this paper. These basic equations are used in stress and strain analysis in structures in which plastic strains have occurred. The derivation of a general expression for an elasto-plastic matrix [D]_ep is given in a concise form. On the basis of this expression the matrix [D]_ep was formed for the case of plane stress. The dependence between incremental stress vector and incremental elastic-plastic strain vector is established through matrix [D]_ep. The elements of the matrix [D]_ep will not be constant in the case of elastic-plastic state in a structure. They will depend on instantaneous state of stress and strain in a structure. Several numerical examples are also given. A thin rectangular plate with an elliptical hole is modeled in order to illustrate a numerical procedure for determination of stresses, strains and displacements. The discretization of a plate quarter has been carried out by the finite elements. The plastic zones spreading around discontinuity with increasing intensity of external loads are also represented.

Finite Element Method; Matrix formulation; Numerical modelling; Plasticity; Thin plate; modelling of

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