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Element-based floating isogeometric analysis

delete2025-10-24
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OA
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H
Helge C. Hille
L
Laura De Lorenzis *
DOI：10.1007/s00466-025-02702-5delete
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摘要

摘要

En 中文
我们提出了一种元素概念，通过将数值积分点与基函数的不连续线对齐，以促进浮动等几何分析（FLIGA）中的数值积分。FLIGA是我们为计算研究具有严重但定向变形的历史相关问题而设计的一种等几何固体力学方法，其目标应用是基于挤压的增材制造。其关键特征是一种称为浮动调节（floating regulation）的新型数学运算，该运算沿挤压轴进行，以持续通过拉格朗日分析下调网格畸变。现有的增强功能，如自动浮动调节和自适应细化，已纳入新型元素公式中，但不再需要手动初始化一个大材料点集。我们还扩展了FLIGA以适用于NURBS离散化。通过聚合物挤压问题（其中粘弹性效应以积分型表示建模）以及固体力学基准测试，研究了基于元素的FLIGA的精度和稳健性。
Keyword:
Extrusion
Floating isogeometric analysis
Large deformations
Integral-type viscoelasticity

期刊

Computational Mechanics 封面图
Computational Mechanics
IF:
3.8
论文数:
3.2K
被引数:
9.0K

机构

D
Department of Mechanical and Process Engineering
学者数:
152
论文数: 64
被引数: 0
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