Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity

doi:10.1007/s10483-017-2244-6

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (10): 1471-1480.doi: https://doi.org/10.1007/s10483-017-2244-6

Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity

Yizhou CHEN

Division of Engineering Mechanics, Jiangsu University, Zhenjiang 212013, Jiangsu Province, China

收稿日期:2016-12-22 修回日期:2017-02-19 出版日期:2017-10-01 发布日期:2017-10-01
通讯作者: Yizhou CHEN E-mail:chens@ujs.edu.cn

Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity

Yizhou CHEN

Division of Engineering Mechanics, Jiangsu University, Zhenjiang 212013, Jiangsu Province, China

Received:2016-12-22 Revised:2017-02-19 Online:2017-10-01 Published:2017-10-01
Contact: Yizhou CHEN E-mail:chens@ujs.edu.cn

摘要/Abstract

摘要：

A conventional complex variable boundary integral equation (CVBIE) in plane elasticity is provided. After using the Somigliana identity between a particular fundamental stress field and a physical stress field, an additional integral equality is obtained. By adding both sides of this integral equality to both sides of the conventional CVBIE, the amended boundary integral equation (BIE) is obtained. The method based on the discretization of the amended BIE is called the amended influence matrix method. With this method, for the Neumann boundary value problem (BVP) of an interior region, a unique solution for the displacement can be obtained. Several numerical examples are provided to prove the efficiency of the suggested method.

关键词: complementary boundary problem, penalty method, Bernstein estimate, regularity, complex variable boundary integral equation(CVBIE), removal of rigid body motion, amended influence matrix method, Neumann boundary value problem(BVP)

Abstract:

Key words: complementary boundary problem, penalty method, Bernstein estimate, regularity, Neumann boundary value problem(BVP), complex variable boundary integral equation(CVBIE), amended influence matrix method, removal of rigid body motion

中图分类号:

30E25
80M15

Yizhou CHEN. Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(10): 1471-1480.

参考文献

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Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity

Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity

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