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mme.modares.ac.ir

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Investigation of Dynamic Behavior of Unidirectional Plies Using One Parameter Plastic Model

Behnam Davoodi1*, Ashkan Mahmoud Aghdami

1- Faculty of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran 2- Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran

P.O.B. 16765-163 Tehran, Iran, [email protected]

ARTICLEINFORMATION ABSTRACT

Original Research Paper Received 05 January 2015 Accepted 11 March 2015 Available Online 18 April 2015

In this article constitutive equations on dynamic behavior of off-axis polymer matrix composites in different strain rates were investigated. Using the Hill Anisotropy and assumptions governing fiber composites, model was developed to express the dynamic behavior of polymer matrix composites. Using the flow rules and effective stress and assumptions in fiber composites like non plastic behavior of composites in fiber direction, the Hill parameters were omitted and reduced to one parameter namely, This model was called2D one-Parameter Plastic Model (also it can be developed for 3D composite layers). This model was developed for off axis composites as well. For each composite with different fiber directions, effective stress- effective strain was introduced. By choosing the right value for parameter by trial aand error, all the stress-strain curves were collapsed into one single curve. Using this model and the experimental static and quasi- static results gathered from different authors (in range of0.01s ) viscoplastic model was obtained which can predict the polymer composite response both in static and high strain rate tests (between 400s and 700s ). Constant parameters in high strain rates in this model were calculated through extrapolating the data in the static test range. The accuracy of this model was investigated and approved by Split Hopkinson Pressure Bar test. The results showed that the visco plastic model can predict the dynamic response of composite fibers in high strain rates very well.

Keywords:

Dynamic behavior Constitutive equations

Split Hopkinson Pressure Bar test Viscoplasticity

High strain rate

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[1] P. Kumar, And B.D. Agarwal, Dynamic compressive behavior of unidirectional GFRP for various fiber orientations, Material Letters, 4(2), 111, 1986.

[2] A.M.A. El-Habak., Mechanical behavior of woven glass fiber reinforced composites under impact compression load. Composites, 22(2), 129, 1991.

[3] A.M.A. El-Habak, Compressive resistance of unidirectional GFRP under high rate of loading J. Compos. Tech. and Research 15(4), 311, 1993.

[4] T.J. Frey, J.R. Vinson and I.W. Hall, High strain rate effects on mechanical properties of glass/polyester and carbon/aluminum composite materials AIAA-91-0930-CP, 19, 1991.

[5] J.F. Newill and J.R. Vinson, Some high strain rate effects of composite material, Proceedings of Ninth International Conference on Composite Materials, 5, 269, 1993.

[6] J. Harding and L.M. Welsh, tensile testing technique for fiber reinforced composites at impact rates of strain J. Mater. Science, 18, 1810, 1993.

[7] G.H. Staab and A. Gilat, Behavior of angle-ply glass/epoxy laminates under tensile loading at quasi-static and high rates, Proceedings of the American Society for Composites Seventh Technical Conference, 1041, 1992.

[8] T.S. Gates and C.T. Sun, Elastic/viscoplastic constitutive model for fiber reinforced thermoplastic composites AIAA Journal; 29:457–63, 1991.

[9] K.J. Yoon and C.T. Sun, Characterization of elastic-viscoplastic properties of an AS4/PEEK thermoplastic composite, Journal of Composite Materials, 25:1277–98, 1991.

[10] M.M. Shokrieh, A.M. Kashani and R. Mosalmani, Introducing new model to predict the mechanical behavior of polymers 22ndannual conference on mechanical engineering, Shahid chamran University, Ahvvaz, Iran, 2014.

[11] R. Hill, P. Roy, Mathematical Theory of Plasticity, Sco. London, 193A p.21, 1948.

[12] W.F. Hosford and R.M. Caddel, Metal Forming Third Edition, Cambridge University Press.

[13] C.T. Sun and J.L. Chen, Simple Flow Rule for Characterizing Nonlinear Behavior of Fiber Composites, Journal of Composite Materials 23: 1009, 1989.

[14] J. Tsai and C.T. Sun, Constitutive model for high strain rate response of polymeric composites, Composites Science and Technology 62, 1289–

1297, 2002.

[15] S.V. Thiruppukuzhi and C.T. Sun, Testing and modeling high strain rate behavior of polymeric composites, Composites Part 29B, 535–546, 1998.

[16] S.V. Thiruppukuzhi and C.T. Sun, Testing and modeling high strain rate behavior of polymeric composites, J. Compos. Mater.

[17] Society of Plastic Engineers 2015/17/01, http://www. 4spepro. org/

[18] ASM Metal Handbooks Volume 8, Mechanical Testing and Evaluation.

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