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

William Taylor Matias Silva; Luciano Mendes Bezerra

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

机译：径向折返算法在塑性铰法弹塑性框架分析中的应用

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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.

机译：提出了一种使用径向返回预测器/校正器解决方案策略对框架结构进行一阶弹塑性分析的新方法。所提出的方法假定塑料铰链形成与屈服表面耦合。屈服面定义为框架横截面上的轴向力，剪切力，扭曲和双轴弯曲力矩的一般函数。该材料被认为是线性弹性完美的塑料。塑性变形由正态性准则控制。结合Newton-Raphson方法和径向返回算法，提出了一个一致的切线模矩阵，并给出了快速收敛的算法。实例证明了该方法的准确性和有效性。

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来源
《Mathematical Problems in Engineering》 |2010年第3期|p.241-262|共22页
作者
William Taylor Matias Silva; Luciano Mendes Bezerra;
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Department of Civil Engineering, University of Brasilia—UnB, 70910-900 Brasilia, DF, Brazil;

Department of Civil Engineering, University of Brasilia—UnB, 70910-900 Brasilia, DF, Brazil;

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

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