Internal Forces for Statically Indeterminate Structures Having Different Moduli in Tension and Compression
Publication: Journal of Engineering Mechanics
Volume 132, Issue 7
Abstract
When a different tension-compression elastic modulus is introduced into the statically indeterminate structure, the flexural rigidity is no longer a constant, which is different from that of classic mechanics, but becomes the function of the internal force, the calculation of the internal force in the structure is a nonlinear problem. In light of this, the formula of internal force in statically indeterminate structures with different moduli has been deduced, the iterative program for calculating nonlinear internal force developed, and examples analyzed. Finally, we put forth reasonable suggestions for calculating this kind of structure and a new idea in optimizing the structures by using different modulus characters. A new and simple analytical-iterative method has been provided for calculating practical engineering problems by using different-modulus theory. This is different from the previous complete numerical solution, which characterizes complex calculation procedure, heavy calculation work, and slow convergence speed. Moreover, a new perspective has been provided for studying the mechanics characters of composite materials.
Get full access to this article
View all available purchase options and get full access to this article.
References
Ambartsumyan, S. A. (1982). Elasticity theory of different modulus, W. Ruifeng and Z. Yunzhen, eds., China Railway Press, Beijing, 11–32.
Doong, J. L., and Chen, L. W. (1984). “Axisymmetric vibration of an initially stressed bimodulus thick circular plate.” J. Sound Vib., 94, 461–468.
Liu, X., and Zhang, Y. (2000). “Modulus of elasticity in shear and accelerate convergence of different extension—Compression elastic modulus finite element method.” Dalian Ligong Daxue Xuebao, 40, 527–530.
Medri, G. (1982). “A nonlinear elastic model for isotropic materials with different behavior in tension and compression.” Trans. ASME, J. Appl. Mech., 104(26), 26–28.
Srinivasan, R. S., and Ramachandra, L. S. (1989). “Large deflection analysis of bimodulus annular and circular plates using finite elements.” Comput. Struct., 31(5), 681–691.
Tseng, Y.-p., and Jiang, Y.-c. (1998). “Stress analysis of bimodular laminates using hybrid stress plate elements.” Int. J. Solids Struct., 35(17), 2025–2028.
Tseng, Y.-p., and Lee, C.-T. (1995). “Bending analysis of bimodular laminates using a higher-order finite strip method.” Compos. Struct., 30, 341–350.
Yang, H., Wu, R., Yang, K., and Zhang, Y. (1992). “Solve bimodulus problem by using initial stress.” Dalian Ligong Daxue Xuebao, 32(1), 35–39.
Ye, Z. (1997). “A new finite element formulation for planar elastic deformation.” Int. J. Numer. Methods Eng., 14(40), 2579–2592.
Ye, Z., Yu, H., and Yao, W. (2001). “A finite element formulation for different Young’s modulus when tension and compression loading.” Proc., Conf. on Computational Mathematics, Pohang Univ. of Science and Technology, Pohang, South Korea, 2–5.
Zhang, Y., and Wang, Z. (1989). “The finite element method for elasticity with different moduli in tension and compression.” Comput. Struct. Mech. Appl., 6, 236–246.
Information & Authors
Information
Published In
Copyright
© 2006 ASCE.
History
Received: May 11, 2004
Accepted: Aug 15, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006
Notes
Note. Associate Editor: Arif Masud
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.