A Node-Based Strain Smoothing Technique for Free Vibration Analysis of Textile-Like Sheet Materials

Article Preview

Abstract:

This paper presents an implementation of the node-based smoothed finite element method and Reissner-Mindlin plate theory for a four node isoparametric shell element to improve the numerical precision and computational efficiency subjected to free vibration analysis of textile-like sheet materials. A one smoothing cell integration scheme in the strain smoothing technique is implemented to contrast the shear locking phenomenon that may exists in the analysis for moderately-thick and thick shell models. Various numerical results of free vibration analysis for a multi-layer nonwoven fabric sample are compared with other existing analytical solutions and numerical solutions in literatures to demonstrate the effectiveness of the present method. An advantage of the present formulation is that it can improve the numerical precision without decreasing the computational efficiency.

You might also be interested in these eBooks

Info:

Periodical:

Solid State Phenomena (Volume 333)

Pages:

219-225

Citation:

Online since:

June 2022

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2022 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Zhang, Q. and C.-W. Kan, A Review of Fusible Interlinings Usage in Garment Manufacture, Polymers, 10 (2018),.

DOI: 10.3390/polym10111230

Google Scholar

[2] Phebe, K., K. Kaliappa, and B. Chandrasekaran, Evaluating performance characteristics of different fusible intertinings, Indian Journal of Fibre and Textile Research, 39 (2014) 380-385.

Google Scholar

[3] Lai, S.S., Optimal combinations of face and fusible interlining fabrics, International Journal of Clothing Science and Technology, 13 (2001) 322-338,.

DOI: 10.1108/09556220110405073

Google Scholar

[4] Behera, B.K. and P.K. Hari, Woven Textile Structure: Theory And Applications, Elsevier Science, (2010).

Google Scholar

[5] Namdar, Ö. and H. Darendeliler, Buckling, postbuckling and progressive failure analyses of composite laminated plates under compressive loading, Composites Part B: Engineering, 120 (2017) 143-151, doi:https://doi.org/10.1016/j.compositesb.2017.03.066.

DOI: 10.1016/j.compositesb.2017.03.066

Google Scholar

[6] Rajesh, M. and J. Pitchaimani, Experimental investigation on buckling and free vibration behavior of woven natural fiber fabric composite under axial compression, Composite Structures, 163 (2017) 302-311, doi:https://doi.org/10.1016/j.compstruct.2016.12.046.

DOI: 10.1016/j.compstruct.2016.12.046

Google Scholar

[7] Hughes, T.J.R., The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Dover Publications, (2012).

Google Scholar

[8] Belytschko, T., W.K. Liu, B. Moran, and K. Elkhodary, Nonlinear Finite Elements for Continua and Structures, Wiley, (2013).

Google Scholar

[9] Zeng, W. and G.R. Liu, Smoothed Finite Element Methods (S-FEM): An Overview and Recent Developments, Archives of Computational Methods in Engineering, 25 (2018) 397-435,.

DOI: 10.1007/s11831-016-9202-3

Google Scholar

[10] Liu, G.R., An Overview on Meshfree Methods: For Computational Solid Mechanics, International Journal of Computational Methods, 13 (2016) 1630001,.

DOI: 10.1142/s0219876216300014

Google Scholar

[11] Liu, G.R., K.Y. Dai, and T.T. Nguyen, A Smoothed Finite Element Method for Mechanics Problems, Computational Mechanics, 39 (2007) 859-877,.

DOI: 10.1007/s00466-006-0075-4

Google Scholar

[12] Nguyen-Xuan, H., T. Rabczuk, N. Nguyen-Thanh, T. Nguyen-Thoi, and S. Bordas, A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates, Computational Mechanics, 46 (2010) 679-701,.

DOI: 10.1007/s00466-010-0509-x

Google Scholar

[13] Thai-Hoang, C., N. Nguyen-Thanh, H. Nguyen-Xuan, T. Rabczuk, and S. Bordas, A cell — based smoothed finite element method for free vibration and buckling analysis of shells, KSCE Journal of Civil Engineering, 15 (2011) 347-361,.

DOI: 10.1007/s12205-011-1092-1

Google Scholar

[14] Liu, G.-R. and T. Nguyen-Thoi, Smoothed finite element methods, Taylor and Francis Group, LLC, (2010).

Google Scholar

[15] Liu, G., K. Dai, and T. Nguyen, A Smoothed Finite Element Method for Mechanics Problems, Computational Mechanics, 39 (2007) 859-877,.

DOI: 10.1007/s00466-006-0075-4

Google Scholar

[16] Liu, G.R., T.T. Nguyen, K.Y. Dai, and K.Y. Lam, Theoretical aspects of the smoothed finite element method (SFEM), International Journal for Numerical Methods in Engineering, 71 (2007) 902-930,.

DOI: 10.1002/nme.1968

Google Scholar

[17] Zulifqar, A., Z. Khaliq, and H. Hu, Textile Mechanics, in: In Handbook of Fibrous Materials, 2020, pp.455-476).

DOI: 10.1002/9783527342587.ch18

Google Scholar

[18] Hu, J., Structure and mechanics of woven fabrics, Woodhead Publishing Ltd., Cambridge, (2004).

Google Scholar

[19] Veit, D., Simulation in textile technology: Theory and applications (1 ed.), Woodhead Publishing, (2012).

Google Scholar

[20] Gigli, N. and B. Han, Sobolev Spaces on Warped Products, Journal of Functional Analysis (2015),.

Google Scholar

[21] Zienkiewicz, O.C. and R.L. Taylor, The Finite Element Method for Solid and Structural Mechanics (6 ed. Vol. 2), Butterworth-Heinemann Ltd, (2005).

Google Scholar

[22] Hinton, E., Numerical methods and software for dynamic analysis of plates and shells, Pineridge Press, Swansea, U.K., (1988).

Google Scholar

[23] Zienkiewicz, O.C., R.L. Taylor, and J.Z. Zhu, Shells as an assembly of flat elements, in: In The Finite Element Method Set (Sixth Edition), Oxford, Butterworth-Heinemann, 2005, pp.426-453).

DOI: 10.1016/b978-075066431-8.50200-9

Google Scholar

[24] Hughes, T.J.R., M. Cohen, and M. Haroun, Reduced and selective integration techniques in the finite element analysis of plates, Nuclear Engineering and Design, 46 (1978) 203-222,.

DOI: 10.1016/0029-5493(78)90184-x

Google Scholar

[25] Malkus, D.S. and T.J.R. Hughes, Mixed finite element methods reduced and selective integration techniques: a unification of concepts, Computer Methods in Applied Mechanics and Engineering, 15 (1978) 63-81.

DOI: 10.1016/0045-7825(78)90005-1

Google Scholar

[26] Bathe, K.-J. and E.N. Dvorkin, A formulation of general shell elements—the use of mixed interpolation of tensorial components, International Journal for Numerical Methods in Engineering, 22 (1986) 697-722,.

DOI: 10.1002/nme.1620220312

Google Scholar

[27] Liu, G.-R., The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired solutions, Frontiers of Structural and Civil Engineering, 13 (2019) 456-477,.

DOI: 10.1007/s11709-019-0519-5

Google Scholar

[28] Yue, J., G.-R. Liu, M. Li, and R. Niu, A cell-based smoothed finite element method for multi-body contact analysis using linear complementarity formulation, International Journal of Solids and Structures (2018), doi:https://doi.org/10.1016/j.ijsolstr.2018.02.016.

DOI: 10.1016/j.ijsolstr.2018.02.016

Google Scholar

[29] Liew, K.M., J. Wang, T.Y. Ng, and M.J. Tan, Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method, Journal of Sound and Vibration, 276 (2004) 997-1017, doi:https://doi.org/10.1016/j.jsv.2003.08.026.

DOI: 10.1016/j.jsv.2003.08.026

Google Scholar