Thermal buckling analysis of cross ply plates based on new displacement field

  • widad ibraheem majeed university of Baghdad
Keywords: thermal buckling, critical temperature, cross plates, shear deformation theory

Abstract

A higher-order displacement field is used for the analysis of the thermal buckling of composite plates subjected to thermal load, it based on a constant ‘‘m’’, which is optimized to get results close to those given by 3D elasticity theory. Hamilton, s principle is used to derive equations of motion which solved using Navier-type series for simply supported plates. The thermal buckling of cross-ply laminates with various (α2/ α1) ratios, number of layers, aspect ratios, E1/E2 ratios, and stacking sequence for thick and thin plates are studied in detail. It is concluded, that obtained results using this displacement field are close to those calculated by 3-D elasticity theory and other shear deformation plate theories when m=0.05.

Author Biography

widad ibraheem majeed, university of Baghdad
mechanical engineering department-college of engineering-university of Baghdad

References

Abdul-Majeed Wael R., Jweeg Muhsin J. and Jameel Adnan N. 2011.Thermal Buckling of Rectangular Plates with Different Temperature Distribution Using Strain Energy Method. Journal of Engineering. 5 (17):1047-1065.

Bargmann Heinz W. 1985. Thermal Buckling of Elastic Plates. Journal of Thermal Stresses, 8(1): 71-98.

Bourada Mohamed, Tounsi Abdelouahed, Houari Mohammed Sid Ahmed and Bedia El Abbes Adda 2011. A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates. Journal of Sandwich Structures and Materials. 14(1): 5-33, DOI: 10.1177/1099636211426386.

Cetkovic M. 2016. Thermal Buckling of Laminated Composite Plates Using Layerwise Displacement Model. Composite Structures.142:238-253, http://dx.doi.org/10.1016/j.compstruct.2016.01.082.

Ćetković Marina and György Lénárt 2016. Thermo-Elastic Stability of Angle-Ply Laminates Application of Layerwise Finite Elements.Structural integrity and life. 16 (1): 43–48, UDK /UDC: 624.073.011.1.042.5.

Eruslu S. Özmen , Aydogdu Metin and Filiz Seckin 2012. Thermal Buckling Analysis of Short Fiber Reinforced Laminated Plates. Mechanics of Nano, Micro and Macro Composite, Structures Politecnico di Torino, 18-20 June.

Ghomshei M. Mansour Mohieddin and Mahmoudi Amin 2010. Thermal buckling analysis of cross-ply laminated rectangular plates under nonuniform temperature distribution: A differential quadrature approach, Journal of Mechanical Science and Technology, 24 (12) :2519~2527, DOI 10.1007/s12206-010-0918-y.

Hussein Emad Q. and Alasadi Sara J. 2018. Experimental And Theoretical Stress Analysis Investigation For Composite Plate Under Thermal Load, Kufa Journal of Engineering.. 9(1): 205-221, http://dx.doi.org/10.30572/2018/kje/090114.

Jameel Adnan Naji, Sadiq Ibtehal Abbas and Nsaif Hasanain Ibraheem 2012. Buckling Analysis of Composite Plates under Thermal and Mechanical Loading, Journal of Engineering.12 (18):1365-1390.

Kumar Rajiv, Sharma Amit and Kumar Rajesh 2013. Thermal Buckling Analysis of a laminated composite plate resting on Elastic foundation using Stochastic Finite Element Method Based on Micromechanical model. IJEBEA: 134-139.

Mantari J.L., Oktem A.S. and Soares C. Guedes 2011. Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher-order shear deformation theory, Composite Structures, 94: 37–49.

Noor A. K. and Burton W. Scott 1992. Three-Dimensional Solutions for the Thermal Buckling and Sensitivity Derivatives of Temperature-Sensitive Muitilayered Angle-Ply Plates, Journal of Applied Mechanics (Transactions of the ASME). 59:848-856.

Noor Ahmed K. and Burton W. Scott 1992, Three-Dimensional Solutions For Thermal Buckling of Multilayered Anisotropic Plates, Journal of Engineering Mechanics, 118(4):683-701.

Noor Ahmed K. and Peters Jeanne M. 1992. Thermomechanical Buckling of Multilayered Composite Plates, Journal of Engineering Mechanics, 118: 351-366.

Ounis Houdayfa and Belarbi Mohamed-Ouejdi 2017, On the thermal buckling behaviour of laminated composite plates with cut-outs, JOURNAL OF APPLIED ENGINEERING SCIENCE & TECHNOLOGY, 3(2): 63-69, http://revues.univ-biskra.dz/index.php/jaes.

Reddy J.N. 2004, Mechanics of laminated composite plates and shells, second edition CRC press.

Shiau Le-Chung , Kuo Shih-Yao and Chen Cheng-Yuan 2010. Thermal buckling behavior of composite laminated plates, Composite Structures, 92: 508–514, doi:10.1016/j.compstruct.2009.08.035.

SUN L. X. and HSIJ T. R. 1990. Thermal Buckling of Laminated Composite Plates With Transverse Shear Deformation, Computers and Structures , 36 (5): 883-889.

Vescovini R., D'Ottavio M., Dozio1L. and Polit O. 2017. Thermal Buckling Response of Laminated and Sandwich Plates using Refined 2-D Models, Composite Structures .176 (15): 313-328, http://dx.doi.org/10.1016/j.compstruct.2017.05.021.

Xiaopingt Shu and Liangxint Sun 1994. Thermomechanical Buckling of Laminated Composite Plates With Higher-Order Transverse Shear Deformation, Computers and Structures, S3.( I): I-7.

Xing Yufeng and Wang Zekun 2017. Closed Form Solutions for Thermal Buckling of Functionally Graded Rectangular Thin Plates, Applied Sciences, 7, 1256, doi:10.3390/app7121256.

Published
2021-09-02
Section
Mechanical Engineering (2)