Interval Element-Free Method for a Bi-Material Cantilever Beam

Article Preview

Abstract:

The interval element-free Galerkin method (IEFGM) is proposed to analyze a bi-material cantilever beam, which is an interfacial mechanics problem including uncertain parameters. Interval method could be applied to study the influences of the uncertain parameters on structural responses. The IEFGM could be used to approximate the displacement fields without depending on meshes. Combining these two methods, the interval equilibrium equations are derived, and a method of dealing with the discontinuities on the interface is introduced.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

389-392

Citation:

Online since:

January 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] I. Elishakoff, R.T. Haftka, J. Fang, Structural design under bounded uncertainty-optimization with anti-optimization, Comput. Struct. 53(6) (1994) 1401-1405.

DOI: 10.1016/0045-7949(94)90405-7

Google Scholar

[2] Z.G. Wu, Y.H. Liu, Singular stress field near interface edge in orthotropic/isotropic bi-materials, Int. J. Solids. Struct. 47(17) ( 2010) 2328-2335.

DOI: 10.1016/j.ijsolstr.2010.04.033

Google Scholar

[3] W. Gao, C.M. Song, T.L. Francis, Probabilistic interval analysis for structures with uncertainty, Struct. Saf. 32(3) (2010) 191-199.

Google Scholar

[4] S.S. Rao, L. Berke, Analysis of uncertain structural systerns using interval analysis, AIAA J. 35(4) (1997) 725-735.

DOI: 10.2514/3.13572

Google Scholar

[5] Y.Y. Xia, Z.P. Qiu, M.I. Friswell, The time response of structures with bounded parameters and interval initial conditions, J. Sound Vib. 329(3) (2010) 353-365.

DOI: 10.1016/j.jsv.2009.09.019

Google Scholar

[6] T. Belytschko, Y. Krongauz, D. Organ, et al., Meshless methods: An overview and recent developments, Comput. Method. Appl. M. 139(1) (1996) 3-47.

Google Scholar

[7] I.V. Singh, M. Tanaka, M. Endo, Thermal analysis of CNT-based nano-composites by element free Galerkin method, Comput. Mech. 39(6) (2007) 719-728.

DOI: 10.1007/s00466-006-0061-x

Google Scholar

[8] Z.P. Qiu, S.H. Chen, Z.S. Liu, Matrix perturbation method for the vibration problem of structures with interval parameters, Appl. Math. Mech. 15(6) (1994) 551-560.

DOI: 10.1007/bf02450768

Google Scholar