C1 Natural Element Method for Couple-Stress Elasticity

Ru Jun Han; Zhi Feng Nie

doi:10.4028/www.scientific.net/AMM.105-107.370

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 105-107C1 Natural Element Method for Couple-Stress...

C¹ Natural Element Method for Couple-Stress Elasticity

Abstract:

The shape functions in C¹ natural element method (C¹ NEM) are built upon the natural neighbor interpolation (NNI), and realize the interpolation to nodal function and nodal gradient values, so that the essential boundary conditions (EBCs) can be imposed directly in a Galerkin scheme for the partial differential equations (PDEs). In the present paper, C¹ NEM for couple-stress (CS) elasticity is constructed, and the typical example which has analytical solutions is presented to illustrate the effectiveness of the constructed method.

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Periodical:

Applied Mechanics and Materials (Volumes 105-107)

Pages:

370-373

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.105-107.370

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Online since:

September 2011

Authors:

Ru Jun Han, Zhi Feng Nie

Keywords:

C¹ Nem, Couple-Stress Elasticity, Sibson Interpolant, Size Effect

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