BEM Solutions for 2D and 3D Dynamic Problems in Mindlin's Strain Gradient Theory of Elasticity

被引：0

作者：

Papacharalampopoulos, A. ^{[1
]}

Karlis, G. F. ^{[1
]}

Charalambopoulos, A. ^{[2
]}

Polyzos, D. ^{[1
,3
]}

机构：

[1] Univ Patras, Dept Mech & Aeronaut Engn, GR-26500 Patras, Greece

[2] Univ Ioannina, Dept Mat Sci & Engn, GR-45110 Ioannina, Greece

[3] ICETH FORTH, Inst Chem Engn & High Temp Proc, Rion, Greece

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2010年 / 58卷 / 01期

关键词：

Microstructure; Microintertia; Gradient Elasticity; Mindlin; Fundamental Solution; Dispersion; BEM; BOUNDARY-ELEMENT METHOD; FINITE-ELEMENT; LINEAR ELASTICITY; COUPLE-STRESS; SOLVING; 2-D; MODE-I; MECHANICS; FORMULATION; MLPG; MICROSTRUCTURE;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A Boundary Element Method (BEM) for solving two (2D) and three dimensional (3D) dynamic problems in materials with microstructural effects is presented. The analysis is performed in the frequency domain and in the context of Mindlin's Form II gradient elastic theory. The fundamental solution of the differential equation of motion is explicitly derived for both 2D and 3D problems. The integral representation of the problem, consisting of two boundary integral equations, one for displacements and the other for its normal derivative is exploited for the proposed BEM formulation. The global boundary of the analyzed domain is discretized into quadratic line and quadrilateral elements for 2D and 3D problems, respectively. Representative 2D and 3D numerical examples are presented to illustrate the method, demonstrate its accuracy and efficiency and assess the gradient effect on the response.

引用

页码：45 / 73

页数：29

共 58 条

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