A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method

Abstract

In this paper, a finite element simulation of nonlinear elastoplastic deformations of Reissner-Mindlin bending plates is described. The previously proposed four-node Q4 element with transverse energy of shearing for thick bending plates is extended to account for isotropic material nonlinearities. An incremental finite element procedure has been used for the elasto-plastic analysis of the thick bending plate. Modified Newton-Raphson method has been used to solve the nonlinear equations. Von-Mises yield criteria have been applied for yielding of the materials along with the associated flow rule. To verify the present element, simple tests are demonstrated and various elasto-plastic problems in which the development of the plastic zone are solved.

Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations

“…S et al [10] investigated the 2D simulation used to calculate the J-integral of the main crack behavior emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in (TiB/Ti) FGM plate under mode I. Yassine Khalfi et al [11] developed a refined and simple shear deformation theory for mechanical buckling of composite plate resting on two-parameter Pasternak's foundations. Meftah Kamel [12] presented a finite element method for analyzing the elasto-plastic plate bending problems. Saidi Hayat [13] presented a new shear deformation theory for free vibration analysis of simply supported rectangular functionally graded plate embedded in an elastic medium.…”