A new theoretical solution is presented to determine the stress distribution in a ten-layer simply-supported circular composite plate subjected to the low-velocity impact. The aim of the current study is the investigation of the dynamic analysis of the composite plate when a cylindrical impactor hits the top layer of the plate with an initial velocity of 1 m/s. The plate is made of two adhesive layers adhere two aluminum layers to a six-layer carbon-epoxy laminated plate. The classical non-adhesive elastic contact theory and Hunter's relationship are used to simulate the contact behavior in terms of time and contact radius. By using Hamilton's principle and Layerwise theory, thirty-two equations of motion are derived. Moreover, Johnson–Cook’s criteria, the plastic simulation model, the normal stress–strain failure criterion theory were used for failure analysis of the aluminum, adhesive, and carbon-epoxy layers, respectively. The numerical method was used to solve the thirty-two differential equations of motion based on the finite difference method. Moreover, the relationship between stress and strain is re-written in the numerical code so that the failure criterion theories are satisfied. Moreover, according to the defined failure criterion for each layer, the damage is checked at the end of every time step. In addition, the damping behavior of the composite plate after applying the contact pressure caused by the impact was also investigated. The results showed that the impact resulted in residual stress in the plate.

提出了一种新的理论解决方案来确定受低速冲击的十层简支圆形复合板的应力分布。当前研究的目的是研究当圆柱形冲击器以 1 m/s 的初始速度撞击板的顶层时复合板的动力学分析。该板由两层粘合层制成，将两层铝层粘合到六层碳环氧树脂层压板上。经典的非粘性弹性接触理论和亨特关系用于模拟时间和接触半径方面的接触行为。通过使用哈密顿原理和分层理论，推导出了 32 个运动方程。此外，Johnson-Cook 的标准，塑料模拟模型，正应力-应变失效准则理论分别用于铝、粘合剂和碳-环氧树脂层的失效分析。数值方法用于求解基于有限差分法的32个运动微分方程。此外，在数值代码中重写了应力和应变之间的关系，以满足破坏准则理论。此外，根据为每一层定义的失效准则，在每个时间步长结束时检查损坏。此外，还研究了复合板在施加由冲击引起的接触压力后的阻尼行为。结果表明，冲击导致板中产生残余应力。数值方法用于求解基于有限差分法的32个运动微分方程。此外，在数值代码中重写了应力和应变之间的关系，以满足破坏准则理论。此外，根据为每一层定义的失效准则，在每个时间步长结束时检查损坏。此外，还研究了复合板在施加由冲击引起的接触压力后的阻尼行为。结果表明，冲击导致板中产生残余应力。数值方法用于求解基于有限差分法的32个运动微分方程。此外，在数值代码中重写了应力和应变之间的关系，以满足破坏准则理论。此外，根据为每一层定义的失效准则，在每个时间步长结束时检查损坏。此外，还研究了复合板在施加由冲击引起的接触压力后的阻尼行为。结果表明，冲击导致板中产生残余应力。此外，根据为每一层定义的失效准则，在每个时间步长结束时检查损坏。此外，还研究了复合板在施加由冲击引起的接触压力后的阻尼行为。结果表明，冲击导致板中产生残余应力。此外，根据为每一层定义的失效准则，在每个时间步长结束时检查损坏。此外，还研究了复合板在施加由冲击引起的接触压力后的阻尼行为。结果表明，冲击导致板中产生残余应力。