A New Stress Based Approach for Nonlinear Finite Element Analysis
A New Stress Based Approach for Nonlinear Finite Element Analysis
复制标题
DOI：
10.22055/jacm.2019.29045.1548
复制
发表时间：
2019-05
影响因子：
--
通讯作者：
Himanshu Gaur
中科院分区：
文献类型：
--
作者：
Himanshu Gaur
本文提出了一种非线性有限元分析的新方法。该方法是非常合适的，并给出了非常准确的结果在线性和非线性范围内的材料行为。所提出的方法可以被视为基于应力的有限元分析，因为它需要通过结构理想化和建模假设来定义结构体内的应力分布。该方法消除了传统非线性分析问题采用的逐级递进再迭代的繁琐过程。求解了单杆轴向受力的一维问题，给出了基本原理。为进一步验证和加强该方法，对悬臂梁的二维弯曲问题和扭转问题进行了求解。扭转问题的结果与实验结果进行了验证。该方法仅适用于材料非线性分析。
This article demonstrates a new approach for nonlinear finite element analysis. The methodology is very suitable and gives very accurate results in linear as well as in nonlinear range of the material behavior. Proposed methodology can be regarded as stress based finite element analysis as it is required to define the stress distribution within the structural body with structural idealization and modelling assumptions. The methodology eliminates the lengthy and tedious procedure of step by step and then iterative procedure adopted classically for nonlinear analysis problems. One dimensional problem of a simple bar loaded axially is solved to formulate the basic principles. Two dimensional problem of a cantilever beam bending and a torsional problem are solved for further demonstrating and strengthening the method. Results of torsional problem are verified with experimental results. The method is applicable for material nonlinear analysis only.