Analysis of Stress and Strain in the Absolute Nodal Coordinate Formulation
Analysis of Stress and Strain in the Absolute Nodal Coordinate Formulation
复制标题
DOI：
10.1080/15397730601044895
复制
发表时间：
2006-12
影响因子：
3.9
通讯作者：
J. Gerstmayr;M. Matikainen
中科院分区：
文献类型：
--
作者：
J. Gerstmayr;M. Matikainen
在非线性材料行为中，为了计算比较应力，需要精确的应力和应变值。绝对节点坐标法（ANCF）是近年来发展起来的一种新方法，主要用于大变形条件下梁和板的建模。ANCF单元的运动方程的推导通常基于固体有限元公式，因此导致显示锁定行为的有限元。虽然锁定在ANCF中的问题可以通过标准技术来解决，但是单元内的应力和应变量的准确性仍然很差，并且需要改进，以便纳入非线性材料行为。本文提出了一种高阶ANCF单元，通过标准的选择性减缩积分技术防止了单元的闭锁，并与原公式相比，提高了应力和应变量的阶数和精度。作为非线性材料行为的一个例子，Prandl-Reuss塑性集成在绝对节点坐标列式。改进的高阶单元的应力和应变分量的结果进行比较的解决方案的全三维计算与商业软件ABAQUS。静态和动态空间的例子被用来调查的精度。良好的协议ANCF的结果与ABAQUS，以及从文献中获得的弹塑性多体系统的例子。
Abstract Accurate values of stress and strain are required for the evaluation of comparative stresses in nonlinear material behavior. The absolute nodal coordinate formulation (ANCF) has been recently developed and focuses on the modeling of beams and plates under the presence of large deformation. The derivation of the equations of motion for an ANCF element is usually based on a solid finite element formulation and thus leads to finite elements that show locking behavior. While the problem of locking in the ANCF might be solved by means of standard techniques, the accuracy of stress and strain quantities within elements is still poor and needs to be improved in order to incorporate nonlinear material behavior. In the present paper, a higher order ANCF element is presented where locking is prevented by means of standard selective reduced integration techniques and the improved order and accuracy of stress and strain quantities is shown, in comparison with the original formulation. As an example of nonlinear material behavior, Prandl–Reuss plasticity is integrated in the absolute nodal coordinate formulation. Results of stress and strain components for the improved higher order element are compared to the solution of fully three-dimensional computations performed with the commercial software ABAQUS. Static and dynamic spatial examples are used to investigate the accuracy. Good agreement of the ANCF is found with the results of ABAQUS, as well as with examples of elasto-plastic multibody systems available from the literature.