| 有限单元形状质量的计算方法 |
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| 引用本文： | 唐国安,韦翔华.有限单元形状质量的计算方法[J].复旦学报(自然科学版),1998,37(5):595-599. |
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| 作者姓名： | 唐国安 韦翔华 |
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| 作者单位： | 复旦大学力学与工程科学系!上海200433(唐国安)，复旦大学力学与工程科学系(韦翔华，丁俊) |
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| 摘 要： | 应变能是弹性体变形程度的度量，而各向同性弹性材料的应变能力又是应变张量不变量的函数，基于这一有限变形弹性理论，导出了由应变张量不变量表示的三角单元形状质量的计算公式，由此得到的形状质量计算公式在理论上更具合理性，更合乎逻辑。
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| 关 键 词： | 三角单元 单元质量 应变能 弹性材料 有限元 |
Measurement of the Quality of Triangular/Tetrahedron Elements |
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| Tang Guoan, Wei Xianghua, Ding Jun.Measurement of the Quality of Triangular/Tetrahedron Elements[J].Journal of Fudan University(Natural Science),1998,37(5):595-599. |
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| Authors: | Tang Guoan Wei Xianghua Ding Jun |
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| Institution: | Department of Mechanics and Engineering Science |
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| Abstract: | The strain energy is a deformation measurement of elastic continuums. For an isotropic elastic material, the strain energy is a function of the strain tensor invariants. Under this consideration, some expressions for triangular/tetrahedron elements' qualities can be derived. It is more rational and more logical to construct these expressions in this way. |
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| Keywords: | finite element element quality strain energy invariant |
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