A multidomain Differential Quadrature approach to plane elastic problems with material discontinuity
✍ Scribed by Z. Zong; K.Y. Lam; Y.Y. Zhang
- Book ID
- 104045074
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 844 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
Differential Quadrature (DQ) is a high-order numerical scheme, yielding very accurate results by use of very small number of nodal points. But it requires the functions to be determined highly differentiable. In the presence of material discontinuity in an elastic medium, direct application of DQ would yield poor results, and this issue has been addressed through a numerical example in this paper. After that, a multi-domain DQ approach has been proposed to solve the discontinuity difficulty. The approach is characterized by being first-order accurate at the interfaces of two different materials, but high-order accurate elsewhere. Numerical examples are given to demonstrate the effectiveness of the method. (~) 2005 Elsevier Ltd. All rights reserved. Keywords--Multidomain, Differential quadrature, Plane elasticity, Material discontinuity, Highorder accurate, Low-order accurate.
1. Introduction
Differential Quadrature (DQ) was introduced by Bellman et al. [1] in the early 1970s as a simple and rapid method for solving linear and nonlinear differential equations. It is essentially a global collocation method, approximating derivatives at a point by use of a weighted sum of function
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