Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-28T17:41:45.615Z Has data issue: false hasContentIssue false

The Endochronic Approach for Structural Steel Subjected to Cyclic Loading

Published online by Cambridge University Press:  05 May 2011

Jun-Kai Lu*
Affiliation:
Department of Civil Engineering, National Pingtung University of Science and Technology, Pingtung, Taiwan 91207, R.O.C.
Nai-Kuan Ji*
Affiliation:
Department of Civil Engineering, National Pingtung University of Science and Technology, Pingtung, Taiwan 91207, R.O.C.
*
*Associate Professor
**Research Assistant
Get access

Abstract

The A36 structural steel shows significant Baushinger effect under cyclic loading. Present paper modifies the anisotropic endochronic model to describe the behaviors of the A36 structural steel subjected to cyclic loading. The deformation induced anisotropy has been considered to modify the definition of the intrinsic time. Also, the different hardening functions are used with respect to the mechanical behavior under loading and unloading condition, respectively. Then, the presented constitutive equations are used to describe the mechanical behaviors of the A36 structural steel under different cyclic strain paths. The theoretical results are compared with the experimental data. The test investigated includes several different cyclic uniaxial and axial-torsional loading experiments from Hong and his co-workers. It is shown that the present model is capable of describing the anisotropic behaviors of A36 structural steel well.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Hong, H. K., Liu, C. S. and Teng, H. K., “The Response of Structural Steel to Cyclic and Thermal Loading,” Department of Civil Engineering, National Taiwan University, NSC 82-0410-E-002-104, Taiwan (1993).Google Scholar
2Liu, C. S., “The Elastoplastic Evolution and Stability of Materials under Mechanical Steel and Thermal Environmental Loading,” Ph. D. Dissertation, Department of Civil Engineering, National Taiwan University, Taiwan, in Chinese (1993).Google Scholar
3Teng, H. K., “The Experiments of Structural Steel to Cyclic and Thermal Loading,” Master thesis, Department of Civil Engineering, National Taiwan University, Taiwan, in Chinese (1994).Google Scholar
4Valanis, K. C., “A Theory of Viscoplasticity Without a Yield Surface, Part I: General Theory; Part II: Application to Mechanical Behavior of Metal,” Arch. Mech., 23, pp. 517551 (1971).Google Scholar
5Valanis, K. C., “Fundamental Consequence of a New Intrinsic Time Measure-Plasticity as a Limit of the Endochronic Theory,” Arch. Mech., 32, pp. 171191 (1980).Google Scholar
6Wu, H. C. and Yip, M. C., “Strain-rate and Strain-rate History Effects on the Dynamic Behavior of Metallic Materials,” Int. J. Solids and Structures, 16, pp. 515536 (1980).CrossRefGoogle Scholar
7Wu, H. C. and Yip, M. C., “Endochronic Description of Cyclic Hardening Behavior for Metallic Materials,” J. Eng. Materials Tech. ASME, 103, pp. 212217 (1981).CrossRefGoogle Scholar
8Wu, H. C. and Yang, R. J., “Application of the Improved Endochronic Theory of Plasticity to Loading with Multi-axial Strain-path,” Int. J. Non-Linear Mech., 18, pp. 395408 (1983).CrossRefGoogle Scholar
9Valanis, K. C. and Lee, C. F., “Endochronic Theory of Cyclic Plasticity with Application,” J. Appl. Mech., 51, pp. 367374 (1984).CrossRefGoogle Scholar
10Wu, H. C., Yang, C. C. and Chu, S. C., “Further Application of Endochronic Constitutive Equation to Loading with Non-proportional Axial-torsional Strain-path,” Int. J. Non-Linear Mech., 20, pp. 4152 (1985).CrossRefGoogle Scholar
11Wu, H. C. and Yeh, W. C., “Some Considerations in the Endochronic Description of Anisotropic Hardening,” Acta Mechanica, 69, pp. 5976 (1987).CrossRefGoogle Scholar
12Wu, H. C. and Yeh, W. C., “On the Experimental Determination of Yield Surfaces and Some Results of Annealed 304 Stainless Steel,” Int. J. Plasticity, 7, pp. 803826 (1991).CrossRefGoogle Scholar
13Wu, H. C., Lu, J. K. and Pan, W. F., “Endochronic Equations for Finite Plastic Deformation and Application to Metal Tube under Torsion,” Int. J. Solids Structures, 32, pp. 10791097 (1995).CrossRefGoogle Scholar
14Wu, H. C., Lu, J. K. and Pan, W. F., “Some Observations on Yield Surfaces for 304 Stainless Steel at Large Prestrain,” J. Appl. Mech. ASME, 62, pp. 626632 (1995).CrossRefGoogle Scholar
15Wu, H. C., Hong, H. K. and Lu, J. K., “An Endochronic Theory Accounted for Deformation Induced Anisotropy,” Int. J. Plasticity, 11, pp. 145162 (1995).CrossRefGoogle Scholar
16Wu, H. C. and Lu, J. K., “Further Development and Application of an Endochronic Theory Accounted for Deformation Induced Anisotropy,” Acta Mechanica, 109, pp. 1119 (1995).CrossRefGoogle Scholar
17Lee, C. F., “Recent Finite Element Applications of the Incremental Plasticity,” Int. J. Plasticity, 11, pp. 843865 (1995).CrossRefGoogle Scholar
18Pan, W. F. and Chern, C. H., “Endochronic Description for Viscoplastic Behavior of Materials under Multiaxial Loading,” Int. J. Solids Structures, 34, pp. 21312160 (1997).CrossRefGoogle Scholar
19Yeh, W. C., Cheng, J. Y. and Her, R. S., “Analysis of Plastic Behavior to Cyclically Uniaxial Test Using an Endochronic Approach,” J. Eng. Materials Tech. ASME, 116, pp. 6270 (1994).CrossRefGoogle Scholar
20Yeh, W. C., Ho, C. D. and Pan, W. F., “An Endochronic Theory Accounting for Deformation Induced Anisotropy of Metals under Biaxial Load,” Int. J. Plasticity, 12, pp. 9871004 (1996).CrossRefGoogle Scholar