Abstract
Based on elastic theory of different tension-compression modulus, the analytical solution was deduced for bending-compression column subject to combined loadings by the flowing coordinate system and phased integration method. The formulations for the neutral axis, stress, strain and displacement were developed, the finite element program was compiled for calculation, and the comparison between the result of finite element and analytical solution were given too. Finally, compare and analyze the result of different modulus and the same modulus, obtain the difference of two theories in result, and propose the reasonable suggestion for the calculation of this structure.
Similar content being viewed by others
References
Medri G. A nonlinear elastic model for isotropic materials with different behavior in tension and compression[J].Transactions of the ASME, 1982,26(104):26–28.
Ambartsumyan SA.Elasticity Theory of Different Modulus[M]. WU Rui-feng, ZHANG Yun-zhen transl. Beijing: China Railway Publishing House, 1986. (Chinese Version)
Srinivasan R S, Ramachandra L S. Large deflection analysis of bimodulus annular and circular plates using finite elements[J].Computers & Structures, 1989,31(5):681–691.
Srinivasan R S, Ramachandra L S. Axisymmetric buckling and post-bucking of bimodulus annular plates[J].Eng Struct, 1989,11(7):195–198.
ZHANG Yun-zhen, WANG Zhi-feng. The finite element method for elasticity with different moduli in tension and compression[J].Journal of Computed Structural Mechanics and Applications, 1989,6(1):236–246. (in Chinese)
Papazoglou J L, Tsouvalis N G. Mechanical behaviour of bimodulus laminated plates[J].Composite Structures, 1991,17(1):1–22.
YANG Hai-tian, WU Rui-feng, YANG Ke-jiang,et al. Solution to problem of dual extension-compression elastic modulus with initial stress method[J].Journal of Dalian University of Technology, 1992,32(1):35–39. (in Chinese)
TSENG Yi-ping, LEE Cheng-tao. Bending analysis of bimodular laminates using a higher-order finite strip method[J].Composite & Structures, 1995,30(4):341–350.
YE Zhi-ming. A new finite element formulation for planar elastic deformation[J].Int J Numerical Methods in Engineering, 1997,14(40):2579–2592.
TSENG Yi-ping, JIANG Yu-ching. Stress analysis of bimodular laminates using hybrid stress plate elements[J].International Journal Solids Structures, 1998,35(17):2025–2028.
LIU Xiang-bin, ZHANG Yun-zhen. Modulus of elasticity in shear and accelerate convergence of different extension-compression elastic modulus finite element method[J].Journal of Dalian University of Technology, 2000,40(5):527–530. (in Chinese)
YE Zhi-ming, YU Huang-ran, YAO Wen-juan. A finite element formulation for different Young's modulus when tension and compression loading[A]. In: Jin Ho Kwak Ed.Com2 Mac Conference on Computational Mathematics[C]. South Korea: Pohang University of Science and Technology, 2001, 2–5.
Raffaele Zinno, Fabrizio Greco. Damage evolution in bimodular laminated composites[J].Composite Structures, 2001,53(4):381–402.
Author information
Authors and Affiliations
Additional information
Biography: YAO Wen-juan (1957≈)
Rights and permissions
About this article
Cite this article
Wen-juan, Y., Zhi-ming, Y. Analytical solution of bending-compression column using different tension-compression modulus. Appl Math Mech 25, 983–993 (2004). https://doi.org/10.1007/BF02438347
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02438347