Lagrangian Analysis Method with Least Square Cubic B-Spline

Wei Jun Tao; Shi Huan; Xiang Qian Tan; Guo Ping Jiang

doi:10.4028/www.scientific.net/AMM.94-96.1681

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 94-96Lagrangian Analysis Method with Least Square Cubic...

Lagrangian Analysis Method with Least Square Cubic B-Spline

Abstract:

The Lagrangian analysis method is re-analyzed. It is shown that when a series of stress profiles (or strain profiles, or particle velocity profiles) are measured to determine the strain-stress relation. In this paper, the stress histories at different Lagrange positions are measured by one dimensional SHPB experiments. The variation histories of various physical quantities are fitted to least square cubic B-spline function with a sufficient accuracy definite condition. The path lines of these quantities are constructed in terms of a least square quadratic polynomial. A program for inert flow of Lagrangian analysis (IFLA) is worked out. Taking the data of experiments as the input for the IFLA, the flow field information is solved. The error analysis shows that such a method has a definite reliability and stability.

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Periodical:

Applied Mechanics and Materials (Volumes 94-96)

Pages:

1681-1684

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.94-96.1681

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Online since:

September 2011

Authors:

Wei Jun Tao, Shi Huan, Xiang Qian Tan, Guo Ping Jiang

Keywords:

B-Spline, Lagrangian Analysis, SHPB

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References

[1] Zukas, J. A., Nicholas, T. Swift, H., Grezczuk, L. B. and Curran, D. R. Impact Dynamics. John Wiley & Sons Inc., New York. 1982.

DOI: 10.1177/058310248301500307

Google Scholar

[2] Kolsky, H. An investigation of the mechanical properties of materials at very high rates of loading. Proc. Phys. Soc. 1949, 62, 676.

DOI: 10.1088/0370-1301/62/11/302

Google Scholar

[3] Forest, C. A. Lagrangian analysis with variance estimated using the impulse time integral. Bull. Am. Phys. Soc. 1991, 36, 1825.

Google Scholar

[4] Wang, L. Yang, L. Aclass of nonlinear viscoelastic constitutive relation of solid polymeric materials. In: Progress in Impact Dynamics. The press of China University of Science and Technology, Heifei, China: 88.

Google Scholar

[5] Fowles R. Plane Stress Wave Propagation in Solid. Appl.Phys.1970 (4):360.

Google Scholar

[6] Grady D.E. Experimental Analysis of Spherical Wave Propagation. Geo.Res.1973.

Google Scholar

[7] Seaman Lagrangian Analysis for Multiple Stress or Velocity Gagesin Attenuation Waves. Appl.phys.1974(45):4303.

Google Scholar

[8] Chai, H. Tang, Z. Error analysis for Lagrangian analysis method [J]. Explosion Shock Waves, 1994, 14, 332.

Google Scholar

[9] Aidum, J. B. and Gupta, Y. M. Analysis of Lagrangian gauge measurement of simple and nonsimple plane waves [J]. J. Appl. Phys. 1991, 69, 6998.

DOI: 10.1063/1.347639

Google Scholar