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FINITE ELEMENT ELASTO-PLASTIC ANALYSIS OF PLATE BENDING USING LAYERED HIGHER ORDER SHEAR DEFORMATION THEORY

机译:使用分层高阶剪切变形理论的板弯曲有限元弹性塑性分析

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In the present work a layered model based on Higher Order Shear Deformation Theory has been successfully applied for Elasto-Plastic analysis of plate bending. In this layered model, spread of plastic zones with respect to the loads in the cross-section of the plate can be determined. Incremental Finite Element formulation is used for the development of the present model. In finite element formulation 9-noded Heterosis element with the provision of Selective Integration and Reduced Integration have been used. Modified Newton-Raphson method has been used to solve the non-linear equations. Von-Mises and Tresca yield criteria have been applied for yielding of the materials along with the associated flow rule. The material is considered to be free from Bauschinger effect by assuming the isotropic hardening. A computer program has been developed and a number of plate-bending problems have been solved. The results have been compared with existing benchmark solutions. Comparisons clearly indicate the good performance of the theory in non-linear analysis also.
机译:在本作工作中,基于高阶剪切变形理论的分层模型已成功应用于板弯曲的弹性塑性分析。在该层状模型中,可以确定塑料区域相对于板的横截面中的负载的展开。增量有限元制剂用于现有模型的开发。在有限元制剂中,使用提供选择性集成和减少的整合,使用了9-编码的杂种优势。已改进的牛顿Raphson方法已用于解决非线性方程。 von-mises和tresca屈服标准已被应用于屈服于材料以及相关的流动规则。通过假设各向同性的硬化,该材料被认为是没有Bauschinger效应。已经开发了一种计算机程序,并解决了许多板弯曲问题。结果与现有的基准解决方案进行了比较。比较清楚地表明了理论在非线性分析中的良好表现。

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