A new MLPG method for elastostatic problems

被引：14

作者：

Abdollahifar, A. ^{[1
]}

Nami, M. R. ^{[1
]}

Shafiei, A. R. ^{[2
]}

机构：

[1] Shiraz Univ, Sch Engn, Dept Mech Engn, Shiraz, Iran

[2] Yazd Univ, Dept Mech Engn, Yazd, Iran

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2012年 / 36卷 / 03期

关键词：

MLPG method; The test function; Elastostatic; Functionally graded materials; PETROV-GALERKIN METHOD; INTEGRAL-EQUATION LBIE; CRACK-TIP FIELDS; SOLVING PROBLEMS; MESHLESS; ELASTICITY;

D O I：

10.1016/j.enganabound.2011.08.008

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper introduces a novel meshless local Petrov-Galerkin (MLPG) method by presenting a new test function as a schema to solve the elasto-static problems. It is seen that the four ordinary MLPG methods can also be approached using the present test function. Both the moving least square (MLS) and the direct method have been applied to the method to estimate the shape function and to impose the essential boundary conditions. The results of three studied elasto-static cases: "two dimensional cantilever beam", "first mode fracture of a center-cracked strip" and "edge-cracked functionally graded strip" show that by using less number of nodes, the present work gives sufficiently more accurate results. Meanwhile the method can also unify various kinds of MPLGs and one may conclude that the model is a good replacement for other common approaches. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：451 / 457

页数：7

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