A multidomain Differential Quadrature approach to plane elastic problems with material discontinuity

Zhi Zong; K. Y. Lam; Yingyan Zhang

doi:10.1016/j.mcm.2003.11.009

A multidomain Differential Quadrature approach to plane elastic problems with material discontinuity

Zhi Zong, K. Y. Lam, Yingyan Zhang

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22 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	539-553
Number of pages	15
Journal	Mathematical and Computer Modelling
Volume	41
Issue number	45416
DOIs	https://doi.org/10.1016/j.mcm.2003.11.009
Publication status	Published - 2005

Keywords

material
plane elasticity

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10.1016/j.mcm.2003.11.009

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abstract = "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.",

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T1 - A multidomain Differential Quadrature approach to plane elastic problems with material discontinuity

AU - Zong, Zhi

AU - Lam, K. Y.

AU - Zhang, Yingyan

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - material

KW - plane elasticity

UR - http://handle.uws.edu.au:8081/1959.7/505529

U2 - 10.1016/j.mcm.2003.11.009

DO - 10.1016/j.mcm.2003.11.009

M3 - Article

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EP - 553

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 45416

ER -

A multidomain Differential Quadrature approach to plane elastic problems with material discontinuity

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