Elasticity Effect in Dynamic Response of Beams with Pre-Cracks Impinged by Striker

Abstract:

To examine the effect of elasticity in dynamic response of imperfect structures, by densely setting meshes in the vicinity of the imperfections, pre-cracked beams impinged by a striker are modeled and numerically investigated. The dynamic response patterns and failure history for two specific configurations are obtained. It is found that complex alternations of the elastic-plastic stress distribution exhibit, and the striker is rebounded and then separated from the beam, which well reflects the effect of material elasticity. The high stress and large deformation zones, corresponding to the plastic hinges in the rigid-plastic model, appear at the impinging position and the supporting ends, and the locations coincide with those in the modal pattern in rigid-plastic response. From comparison, it is concluded that when the impinging is intense, despite the effect of elasticity displaying in the early stage, the widely employed rigid-plastic analysis is still capable of providing favorable prediction on the final response parameters.

• Periodical: Key Engineering Materials (Volumes 535-536)
• Pages: 493-496
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.535-536.493
• Online since: January 2013
• Authors: F.L. Chen, T.X. Yu, J.L. Yang, W.H. Wu
• Keywords: Dynamic Response, Elastic Effects, Impact, Pre-Cracked Beam

References

[1] J. van der Geer, J.A.J. Hanraads, R.A. Lupton, The art of writing a scientific article, J. Sci. Commun. 163 (2000) 51-59. Reference to a book:

[2] W. Strunk Jr., E.B. White, The Elements of Style, third ed., Macmillan, New York, 1979. Reference to a chapter in an edited book:

[3] G.R. Mettam, L.B. Adams, How to prepare an electronic version of your article, in: B.S. Jones, R.Z. Smith (Eds.), Introduction to the Electronic Age, E-Publishing Inc., New York, 1999, pp.281-304.

[4] R.J. Ong, J.T. Dawley and P.G. Clem: submitted to Journal of Materials Research (2003)

[5] P.G. Clem, M. Rodriguez, J.A. Voigt and C.S. Ashley, U.S. Patent 6,231,666. (2001)

[6] Information on [1] T.X. Yu, Elastic effects in the dynamic plastic response of structures, in: N. Jones, T. Wierzbicki, Structural Crashworthiness and Failure, Elsevier Applied Science, London, 1993, pp.341-384.

[2] P.E. Duwez, D.S. Clark, H. F. Bohnenblust, The behavior of long beams under impact loading, Trans. ASME J. Appl. Mech. 72 (1950) 27-34.

DOI: 10.1115/1.4010052

[3] P.S. Symonds, W.T. Fleming Jr, Parkes revisited: on rigid-plastic and elastic-plastic dynamic structural analysis, Int. J. Impact Engng. 2 (1984) 1-36.

DOI: 10.1016/0734-743x(84)90013-7

[4] S.R. Reid, X.G. Gui, On the elastic-plastic deformation of cantilever beams subjected to tip impact, Int. J. Impact Engng. 6 (1987) 109-127.

DOI: 10.1016/0734-743x(87)90014-5

[5] J.L. Yu, N. Jones, Numerical simulation of impact loaded steel beams and the failure criteria, Int. J. Solids Struct. 34 (1997) 3977-4004.

DOI: 10.1016/s0020-7683(96)00228-4

[6] F.L. Chen, T.X. Yu, An experimental study of pre-notched clamped beams under impact loading, Int. J. Solids and Struct, 41 (2004) 6699-6724.

DOI: 10.1016/j.ijsolstr.2004.05.036

[7] F.L. Chen, T.X. Yu, Dynamic behaviour of a clamped plastic beam with cracks at supporting ends under impact, ASME Journal of Pres. Ves. Tech. 121 (1999) 406-412. 附中文摘要 受冲击作用的含裂纹梁动力响应中的弹性效应 摘 要 为了分析非完善结构动力响应中的弹性效应，本文采用在缺陷附近加密网格的方法，对受刚性质量块冲击的含裂纹梁进行了数值模拟研究，得到了两种不同构型的动力响应及破坏过程的图像。结果显示会有复杂的弹塑性应力交替行为出现、质量块会反弹然后与梁分离，这两种现象正好是材料弹性效应的体现。与刚塑性模型中塑性铰相应的是高应力、大变形区，出现在撞击点和梁支承端，这与刚塑性响应的模态解一致。通过比较，可得到如下结论：当冲击强度比较高时，尽管在早期会表现出明显的弹性效应，但就主要的最终响应参数，刚塑性分析仍能够给出满意的预报。