利用Gauss-Jacobi求积公式对固体力学中 第二类奇异积分方程的数值研究

Translated title of the contribution: Study of numerical method for singular integral equations of the second kind in solid mechanics using Gauss-Jacobi quadrature formulae

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Abstract

Using the Gauss-Jacobi quadrature formula, the Gaussian interpolative quadrature formulae for general singular integral equations of the second kind is derived by the discretization of integral equations. Then the general numerical solution of special cases of general singular integral equations of the second kind is presented to prove the credibility of this numerical method. Finally, a simple example of the interaction among multiple collinear shear bands is presented to prove the feasibility of this numerical method.

Translated title of the contributionStudy of numerical method for singular integral equations of the second kind in solid mechanics using Gauss-Jacobi quadrature formulae
Original languageChinese (Traditional)
Pages (from-to)774-778
Number of pages5
JournalYingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
Volume36
Issue number4
DOIs
StatePublished - 15 Aug 2019

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