Analytical Model of Ceramic/Metal Armor Impacted by Deformable Projectile
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摘要: 针对弹体撞击陶瓷/金属复合靶板的问题，将弹体的变形、陶瓷面板的碎裂和金属背板的变形结合起来，建立了新的可变形弹体垂直撞击陶瓷/金属靶板的理论分析模型．模型中计入了弹体刚性区长度和运动速度、塑性变形区长度、横截面积和运动速度的变化以及弹体对靶板的侵入速度和深度；对陶瓷面板考虑了陶瓷锥体积和抗压强度的变化；对金属背板的变形，根据其塑性变形功、外力功及其动能守恒原理，得到金属背板的运动方程．最后对具体算例进行了分析，得到了各物理量随时间的变化，给出了一些有价值的规律．结果表明，模型能较好地描述撞击过程中的有关规律；与实验结果和数值模拟结果进行对比，吻合较好，说明了模型的有效性．Abstract: A new analytical model was established to describe the complex behavior of ceramic/metal armor under impact of deformable projectile by assuming some hypotheses.Three aspects were taken into account:the mushrooming deformation of the projectile,the fragment of ceramic tile and the formation and change of ceramic conoid and the deformation of the metal backup plate.Solving the set of equations,all the variables were obtained for the different impact velocities:the extent and particle velocity in rigid zone;the extent,cross-section area and particle velocity in plastic zone;the velocity and depth of penetration of projectile to the target;the reduction in volume and compressive strength of the fractured ceramic conoid;the displacement and movement velocity of the effective zone of backup plate.Agreement observed among analytical result,numerical simulation and experimental result confirms the validity of the model,suggesting the model developed can be a useful tool for ceramic/metal armor design.
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Key words:
- ceramic/metal armor /
- deformable projectile /
- analytical model
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