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Title

Extended Finite Element Method for Statics and Vibration Analyses on Cracked Bars and Beams

Year: 1397
COI: JR_JSMA-10-4_015
Language: EnglishView: 135
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Authors

F Mottaghian - Department of Mechanical Engineering, University of Guilan, Rasht, Iran
A Darvizeh - Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran
A Alijani - Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran

Abstract:

In this paper, the extended finite element method (XFEM) is employed to investigate the statics and vibration problems of cracked isotropic bars and beams. Three kinds of elements namely the standard, the blended and the enriched elements are utilized to discretize the structure and model cracks. Two techniques referred as the increase of the number of Gauss integration points and the rectangle sub-grid are applied to refine the integration within the blended and enriched elements of the beam in which the priority of the developed rectangle sub-grid technique is identified. The stiffness and the mass matrices of the beam are extended by considering the Heaviside and the crack tip functions. In a plane stress analysis, the effects of various crack positions and depths, different boundary conditions and other geometric parameters on the displacement and the stress contours are detected. Moreover, in a free vibration analysis, changes of the natural frequencies and the mode shapes due to the aforementioned effects are determined.                   

Keywords:

Extended finite element method , Statics and vibration , Cracked bars and beams , Increasing Gauss integration points , Rectangle sub-grid

Paper COI Code

This Paper COI Code is JR_JSMA-10-4_015. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/999284/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Mottaghian, F and Darvizeh, A and Alijani, A,1397,Extended Finite Element Method for Statics and Vibration Analyses on Cracked Bars and Beams,https://civilica.com/doc/999284

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