强冲击载荷下各向异性材料中应力波传播规律研究

With the constitutive relation theory as guidance, the general theoretical frame for the thermoplastic and hermo-viscoplastic constitutive relation of anisotropic and damaged materials, as well as the corresponding universal constitutive relation of incremental form are established. In our constitutive relations all kinds of factors such as strain, strain rate, temprature, damage and their coupling effects are included. Based on our constitutive model and the experimental results about the dynamic behavior of materials, the dynamic plastic constitutive relations of some typical anisotropic materials are presented. In the computational methods of wave propagation mechanics, we made some efforts to combine the characteristic theory with the FEM and FDM. With the new kernal function being presented, the Lagrange method with no meshes-SPH method is devolped, and with the modified FCT method being presented, the distinguishing ability and culculation accuracy for shock waves are highly improved. By the numerical analysis of stress wave propagation in the laminate composites and thin-walled tubes, and the engineering analysis and numerical simulation of series of dynamics problems under intensive impact loadings such as high-velocity penetration, fracture of shells and explosion wave propagation, some propagation characteristics and evolution rules of stress waves related with the anisotropic properties and the coupling effects between various factors are revealed.

以玻璃纤维橡胶和碳酚醛材料为对象，建立横观各向同性材料和正交各向异性材料非线性动态本构关系，发展和完善适宜于强冲击载荷下各向异性材料中应力波传播的理论、分析方法和计算程序，以复合材料层合板和薄壁管中的波传播问题为突破口，揭示其应力波的传播规律及与材料各向异性特征有关的新现象、新机理，从而为结构防护分析和材料设计提供依据。