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使用无网格方法对金属零件进行弹性塑料分析
Ajay Chhillar1, Rajender Singh2, Prabhakar Sharma1
1Department of Mechanical Engineering, Delhi Skill and Entrepreneurship University, Delhi 110077, India.
ACS omega
|September 25, 2023
概括
研究人员开发了一种新的无网格方法来分析金属元件的弹性可塑性. 这种强大而准确的解决方案有效地处理复杂的负载条件,优于传统的有限元素方法.
科学领域:
- 机械工程 机械工程
- 计算力学 计算力学 计算力学
- 材料科学 材料科学 材料科学
背景情况:
- 有限元素方法 (FEM) 广泛用于弹性塑料分析,但具有局限性.
- 在计算力学中越来越需要无网格方法.
- 无网格方法在处理复杂的几何形状和大变形方面具有优势.
研究的目的:
- 开发和验证用于金属组件二维弹性塑料分析的无网状解决方案.
- 评估在各种负载条件下拟议方法的性能.
- 在无网格方法中比较不同重量函数的有效性.
主要方法:
- 开发了一种基于局部对称的弱形式的控制弹性塑料积分方程的无网状解决方案.
- 对于弹性塑料的构成关系,采用了小型变形速率独立的关联流理论.
- 实现了一个解决方案算法,能够处理加载,卸载和反向加载场景.
- 在数值计算中利用高斯函数和spline重量函数.
主要成果:
- 拟议的无网状解决方案在对金属零件的弹性塑料分析中表现出强度和准确性.
- 该方法成功地处理了装载,卸载和反向装载条件.
- 数字结果表明,高斯重量函数提供了优越的稳定性,相比线重量函数.
结论:
- 为金属组件的二维弹性塑料分析提供了一种可靠的无网状解决方案.
- 无网格方法为FEM提供了一个可行的替代方案来解决这些问题.
- 在这种无网状弹性塑料分析中,建议使用高斯重量函数来提高强度.
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