Nonlinear Elasto-Plastic Analysis of Axisymmetric Spherical Shell by Chebyshev Spectral Collocation Method under the Pulsating Forces

Abstract:

Article Preview

This paper investigates nonlinear elasto-plastic analysis of the dynamic response of composite spherical shells base on the isotropic hardening and flow rule theorem. elasto-plastic strain-hardening is expressed at this stage and the plastic strain obtains to combine with elastic strain to present the elasto-plastic constitutive relation of composite spherical shells. Analytical solutions of the governing equations are based on the Chebyshev spectral collocation methods and then compare results with ABAQUS FEM. In numerical example, the effective of different external loads on the nonlinear elastic and nonlinear elasto-plastic of composite spherical shell are discussed in details.

Info:

Periodical:

Edited by:

Wu Fan

Pages:

33-37

Citation:

M. S. Barzegar et al., "Nonlinear Elasto-Plastic Analysis of Axisymmetric Spherical Shell by Chebyshev Spectral Collocation Method under the Pulsating Forces", Applied Mechanics and Materials, Vols. 110-116, pp. 33-37, 2012

Online since:

October 2011

Export:

Price:

$38.00

[1] Narasimhan MC., Alwar RS., 1992, Free vibration analysis of‏ laminated orthotropic spher‏‏‏‏‏‏ical shells,. J Sound and‏ Vibration, 154: 5, 15–29‏.

DOI: https://doi.org/10.1016/0022-460x(92)90783-t

[2] Alwar, RS., and Narasimhan, M. C., 1990. Application of Chebyshev polynomials to the analysis of laminated axisymmetric spherical shells,. Composite Structures, 15, 215-237.

DOI: https://doi.org/10.1016/0263-8223(90)90032-a

[3] Y.P. Tian., Y.M. Fu., Y. Wang., 2009, Nonlinear dynamic response of piezoelectric elasto-plastic laminated plates with damage, Composite Structures, 88, 169–178‏.

DOI: https://doi.org/10.1016/j.compstruct.2008.02.019

[4] Novozohilov, V.V., 1961, "Theory of Elasticity. Pergamon Press, Oxford.

[5] A.H. Khatar., R.S. Temsah., M.M. Hassan., 2008, A Chebyshev spectral collocation method for solving Burgers'-type equations,. Computational and Applied Mathematics , 222 , 333-350.

DOI: https://doi.org/10.1016/j.cam.2007.11.007

[6] Chih-Hsun Lin., Ming-Hwa R. Jen., 2005. Analysis of a laminated anisotropic plate by chebyshev collocation method,. Composites, Part B 36, 155-169.

DOI: https://doi.org/10.1016/j.compositesb.2004.04.001