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

Abstract EN

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.