頁籤選單縮合
題 名 | A Modified Gaussian Integration Scheme in Element Free Method |
---|---|
作 者 | Sheng,Jopan; Wang,Chung-yue; Shen,Kuo-jui; | 書刊名 | The Chinese Journal of Mechanics |
卷 期 | 18:1 2002.03[民91.03] |
頁 次 | 頁17-27 |
分類號 | 440.132 |
關鍵詞 | Element-free method; Meshfree; Quadrature rule; Weighting function; |
語 文 | 英文(English) |
英文摘要 | In this paper, a modified numerical integration scheme is prested that improves the accuracy of the numerical integration of the Galerkin weak form, within the integration cells of the analyzed domain in the element-free methods. A geometrical interpretation of the Gaussian quadrature rule is introduced to map the effective weighting territory of each quadrature point in an integration cell. Then, the conventional quadrature rule is extended to cover the overlapping area between the weighting territory of each quadrature point and he physical domain. This modified numerical integration scheme can lessen the errors due to misalignment between the integration cell and the boundary or interface of the physical domain. Some numerical examples illustrate that this newly proposed integration scheme for element-free methods does effectively improve the accuracy when solving solid mechanics problems. |
本系統中英文摘要資訊取自各篇刊載內容。