Constitutive relationship of anisotropic CFRP material and its application in planar plate impact simulation

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (22) : 101-116.

ZHANG Kun，TANG Wenhui，RAN Xianwen

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Abstract

Carbon-fiber reinforced polymer(CFRP) materials are usually anisotropic. Therefore in the study of these materials, in regard to the constitutive relationship and equation of state(EOS), the anisotropic modification should be taken into account. Based on the relationship between the increments of stress and strain derived by the generalized Hook law and classical elastic-plastic theory, a three-dimensional constitutive model for CFRP anisotropic materials was established. The Tsai-Hill principle was used to calculate the plastic strain increment of anisotropic material while the Grüneisen EOS was used to depict the nonlinear relationship between the pressure and volume strain. A three-dimensional stress propagation process in carbon fiber reinforced phenol-formaldehyde resin (C/PF) during a flyer impact test was simulated by using an explicit FEM program. The results indicate that the constitutive model proposed is practical and able to demonstrate the mechanical properties of anisotropic materials. On account of introducing the generalized volume module and orthotropic correction terms, the pressure obtained by the proposed anisotropic model is lower than that in isotropic condition. The flyer plate speed was set to be 100 m/s to 3 000 m/s, and the calculation results indicate that with the increase of the flyer speed, the contribution of the correction terms to the pressure decreases and the anisotropic model tends to be consistent with isotropic model.

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anisotropic material / constitutive model / equation-of-state / planar plate impact / explicit FEM

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ZHANG Kun，TANG Wenhui，RAN Xianwen. Constitutive relationship of anisotropic CFRP material and its application in planar plate impact simulation[J]. Journal of Vibration and Shock, 2019, 38(22): 101-116

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