Zhang Tao, Li Qiang, Mao Jia-Jia, Zha Chunqing
Beijing Key Laboratory of High Dynamic Navigation Technology, Beijing Information Science & Technology University, Beijing 100192, China.
Beijing Institute of Control & Electronic Technology, Beijing 100038, China.
Materials (Basel). 2024 Dec 11;17(24):6062. doi: 10.3390/ma17246062.
This paper studies the thermomechanical low-velocity impact behaviors of geometrically imperfect nanoplatelet-reinforced composite (GRC) beams considering the von Kármán nonlinear geometric relationship. The graphene nanoplatelets (GPLs) are assumed to have a functionally graded (FG) distribution in the matrix beam along its thickness, following the X-pattern. The Halpin-Tsai model and the rule of mixture are employed to predict the effective Young modulus and other material properties. Dividing the impact process into two stages, the corresponding impact forces are calculated using the modified nonlinear Hertz contact law. The nonlinear governing equations are obtained by introducing the von Kármán nonlinear displacement-strain relationship into the first-order shear deformation theory and dispersed via the differential quadrature (DQ) method. Combining the governing equation of the impactor's motion, they are further parametrically solved by the Newmark-β method associated with the Newton-Raphson iterative process. The influence of different types of geometrical imperfections on the nonlinear thermomechanical low-velocity impact behaviors of GRC beams with varying weight fractions of GPLs, subjected to different initial impact velocities, are studied in detail.
本文考虑冯·卡门非线性几何关系,研究了几何形状不完善的纳米片增强复合材料(GRC)梁的热机械低速冲击行为。假设石墨烯纳米片(GPLs)在基体梁中沿其厚度方向呈功能梯度(FG)分布,遵循X型模式。采用哈尔平 - 蔡模型和混合法则预测有效杨氏模量及其他材料性能。将冲击过程分为两个阶段,使用修正的非线性赫兹接触定律计算相应的冲击力。通过将冯·卡门非线性位移 - 应变关系引入一阶剪切变形理论得到非线性控制方程,并通过微分求积(DQ)方法进行离散。结合冲击器运动的控制方程,通过与牛顿 - 拉夫逊迭代过程相关联的纽马克 - β方法进一步对其进行参数求解。详细研究了不同类型的几何缺陷对具有不同GPLs重量分数、承受不同初始冲击速度的GRC梁非线性热机械低速冲击行为的影响。