A Radial Return Algorithm Application in Elastoplastic Frame Analysis Using Plastic Hinge Approach

William Taylor Matias Silva and Luciano Mendes Bezerra

Mathematical Problems in Engineering, 2010, vol. 2010, 1-22

Abstract:

A new method is presented for first-order elastoplastic analysis of framed structures using a radial return predictor/corrector solution strategy. The proposed method assumes plastic hinge formation coupled with a yield surface. The yield surface is defined as a general function of axial force, shear forces, twisting, and biaxial bending moments on the cross-section of the frame. The material is regarded as linear and elastic-perfect plastic. The plastic deformations are governed by the normality criterion. Combining the Newton-Raphson method and the radial return algorithm, a consistent tangent modular matrix is proposed and fast and converging algorithms are presented. Examples demonstrate the accuracy and effectiveness of the proposed method.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:142743

DOI: 10.1155/2010/142743

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