考虑横法向热应变的Reddy型功能梯度梁理论

doi:10.7527/S1000-6893.2017.220918

Abstract

Abstract:

The Reddy-type higher-order theory has been widely used for analysis of Functionally Graded Material (FGM) structures. However, the theory neglects transverse normal strain, and will thus encounter difficulties in analysis of the thermomechanical behaviors of the functionally graded beam. To improve the performance of Reddy's theory, a Reddy-type higher-order theory considering transverse normal thermal strain with three displacement parameters is proposed. Although transverse normal thermal strain is taken into account, the number of displacement parameters is not increased in the theory. The model proposed is used to investigate thermomechanical response of the functionally graded beam, and also the effect of volume fraction on stress and displacement of functionally graded beam. Numerical results showed that the proposed model can calculate accurately the thermomechanical response of the functionally graded beam, and can improve the calculation accuracy of the models for transverse normal thermal strain.

Key words: Reddy-type higher-order theory, functionally graded beam, transverse normal thermal strain, analytical solution, thermomechanical analysis

CLC Number:

V257

XU Qi, WU Zhen. A Reddy-type theory of functionally graded beam considering transverse normal thermal strain[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(8): 220918-220918.

References

[1] HOUARI M S A, TOUNSI A, BÉG O A. Thermoelastic bending analysis of functionally graded sandwich plates using a new higher order shear and normal deformation theory[J]. International Journal of Mechanical Sciences, 2013, 76:102-111.
[2] PRAVEEN G N, REDDY J N. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates[J]. International Journal of Solids and Structures, 1998, 35(33):4457-4476.
[3] WU L H. Thermal buckling of a simply supported moderately thick rectangular FGM plate[J]. Composite Structures, 2004, 64(2):211-218.
[4] MENDONCA P D T R, DE BARCELLOS C S D, TORRES D A F. Robust C^k/C⁰ generalized FEM approximations for higher-order conformity requirements:Application to Reddy's HSDT model for anisotropic laminated plates[J]. Composite Structures, 2013, 96:332-345.
[5] JONNALAGADDA K D, TAUCHERT T R, BLANDFORD G E. High-order thermoelastic composite plate theories-An analytic comparison[J]. Journal of Thermal Stresses, 1993, 16(3):265-284.
[6] ROHWER K, ROLFES R, SPARR H. Higher-order theories for thermal stresses in layered plates[J]. International Journal of Solids and Structures, 2001, 38(21):3673-3687.
[7] RADU A G, CHAYTTOPADHYAY A. Dynamic stability analysis of composite plates including delaminations using a higher order theory and transformation matrix approach[J]. International Journal of Solids and Structures, 2002, 39(7):1949-1965.
[8] TOURATIER M. An efficient standard plate theory[J]. International Journal of Engineering Science, 1991, 29(8):901-916.
[9] ZENKOUR A M, ALGHAMDI N A. Thermoelastic bending analysis of functionally graded sandwich plates[J]. Journal of Materials Science, 2008, 43(8):2574-2589.
[10] MATSUNAGA H. Stress analysis of functionally graded plates subjected to thermal and mechanical loadings[J]. Composite Structures, 2009, 87(4):344-357.
[11] REDDY J N. A simple higher-order theory for laminated composite plates[J]. Journal of Applied Mechanics, 1984, 51(4):745-752.
[12] REDDY J N. Analysis of functionally graded plates[J]. International Journal for Numerical Methods in Engineering, 2000, 47(1-3):663-684.
[13] REDDY J N. A refined nonlinear theory of plates with transverse shear deformation[J]. International Journal of Solids and Structures, 1984, 20(9-10):881-896.
[14] YANG J, SHEN H S. Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions[J]. Composites Part B:Engineering, 2003, 34(2):103-115.
[15] DUC N D, TUNG H V. Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations[J]. Composite Structures, 2011, 93(11):2874-2881.
[16] SZEKRENYES A. Application of Reddy's third-order theory to delaminated orthotropic composite plates[J]. European Journal of Mechanics-A/Solids, 2014, 43:9-24.
[17] JIN G Y, YANG C M, LIU Z G. Vibration and damping analysis of sandwich viscoelastic-core beam using Reddy's higher-order theory[J]. Composite Structures, 2016, 140:390-409.
[18] CHEN W J, WU Z. A Selective review on recent development of displacement-based laminated plate theories[J]. Recent Patents on Mechanical Engineering, 2008, 100(1):29-44.
[19] WU Z, LO S H, SZE K Y. Influence of transverse normal strain and temperature profile on thermoelasticity of sandwiches in terms of the enhanced Reddy's theory[J]. Journal of Thermal Stresses, 2013, 36(1):19-36.
[20] KAPURIA S, DUMIR P C, AHMED A. An efficient higher order zigzag theory for composite and sandwich beams subjected to thermal loading[J]. International Journal of Solids and Structures, 2003, 40(24):6613-6631.
[21] MATSUNAGA H. Interlaminar stress analysis of laminated composite and sandwich circular arches subjected to thermal/mechanical loading[J]. Composite Structures, 2003, 60(3):345-358.

A Reddy-type theory of functionally graded beam considering transverse normal thermal strain

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 7

Recommended Articles

Metrics

Comments

[1]	Zhi ZHANG, Han YUAN, Wanqing ZHANG. Powered deceleration guidance method based on gravity-turn analytical solutions [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(23): 628483-628483.
[2]	LI Kebo, LIAO Xuanping, LIANG Yan'gang, LI Chaoyong, CHEN Lei. Guidance strategy with impact angle constraints based on pure proportional navigation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(S2): 724277-724277.
[3]	LI Baoyu, ZHANG Leigang, QIU Qunhai, YU Xiongqing. An advanced first order and second moment method based on gradient analytical solution of Kriging surrogate model [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(5): 222629-222629.
[4]	GU Jie, ZHANG Shuguang, YANG Fan, WANG Baoyin. Approximate analytical analysis for phugoid characteristic of reentry vehicles and its applications [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(10): 121174-121174.
[5]	FU Yu, CHEN Gong, LU Baogang, GUO Jifeng, CUI Naigang. A Vacuum Adaptive Iterative Guidance Method of Launch Vehicle Based on Optimal Analytical Solution [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011, 32(9): 1696-1704.
[6]	ZANG Qing-lai;ZHANG Xing;WU Guo-xun. New Model and New Method of Stress Analysis about Glued Joints [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2006, 27(6): 1051-1057.
[7]	Zou Guiping;Tang Limin. A SEMI-ANALYTICAL SOLUTION FOR LAMINATED COMPOSITE PLATES IN HAMILTON SYSTEM [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1994, 15(7): 794-799.