Response Analysis Of Functionally Graded Plate Under Low Velocity Impact

Functionally graded materials(FGMs)is a kind of heterogeneous composite material with novel material properties and advanced manufacturing technology.Researchers use advanced composite processing techniques to modify the structure,composition and physical parameters of two or more materials with distinct properties,such as ceramics and metals,regularly and continually within the structure,thereby eliminating differences between materials complex interface effectted.The continuity and gradient changes into the different material properties and other material characteristics can reasonably avoid the stress jump between the two different materials in the combination process,and can fundamentally solve the complex problem of the traditional composite interface.FGM combines the advantages of ceramic and metal materials,and can adapt to different working environments.Functionally graded materials(FGMs)can not only resist the impact on low energy and avoid damage to material performance under the impact on low speed,but also effectively isolated the damage caused by external high temperature to the internal parts of components.In this paper,based on the classical p late theory,the geometric equation of the plate is derived.The plane stress hypothesis principle is used to derive the physics equation of the plate with temperature influence characteristics.Finally,the problem of contact force is verified by comparison with the spring mass model.The difference ratio when taking the maximum contact force value is only 0.152%,thus verifying the reliability of the selected energy balance equation.Then the ABAQUS simulation software is used to analyze the impact response to functionally graded plates under low-speed impact on rigid spheres.The accuracy of the model is verified by comparing with the theoretical results and the existing literature results.The results of this study show that:(1)Compared with the traditional FGM material composition distribution,the gradient change of 60% metal and 40% ceramic on the upper surface of the material has better impact response in the temperature field.The numerical values show that the material composition distribution studied in this paper can reduce the maximum contact force by 3.43% under the same impact parameter setting;(2)Changing the initial impact velocity of the impactor(rigid ball)can bring different response to the impact.Therefore,material damaged can be reduced by increasing the stiffness of the material contact surface;(3)The FGM plate is placed in a temperature range of 300 K to 1300 K,and the higher the temperature,the greater the influence on the contact force and the indentation at the same impact speed.The material distribution studied in this paper can effectively reduce the maximum indentation value by 2.16% under the conditions of maximum impact velocity and maximum ambient temperature;(4)Changing the power exponent value in the FGM material volume fraction expression can affect the contact force and indentation in the impact system: the larger the power index,the larger the maximum indentation value and the smaller the maximum contact force.Since the magnitude of the indentation value generated by the impact is very small,the damage caused to the surface of the material is hardly found,but it has a good resistance to impact on the internal structure of the material;(5)Changing the radius of the rigid ball can affect the contact force and indentation in the impact system: the larger the radius,the greater the contact force generated and the smal er the indentation.