内爆炸载荷下圆管变形、损伤和破坏规律的研究

以物理统计和唯象研究相结合的方法，建立了微孔洞型的损伤函数模型和损伤演化方程，以变形热力学，Ｄｒｕｃｋｅｒ公设和内变量理论为基础建立了含损伤热塑性材料的增量型本构关系，用所建立的本构关系及损伤演化方程对内部爆轰作用下的圆管破坏过程完成了系列数值模拟，数值结果与实验结果相比较，在圆管变形过程，破坏时间，破坏速度，破坏应变，破坏应变率等信息方面都是基本一致的。

RESEARCH ON THE DEFORMATION, DAMAGE AND FRACTURE RRLES OF CIRCULAR TUBES UNDER INSIDE-EXPLOSIVE LOADING

In this paper, theproblem of the deformation, damage and fracture rules of circular steeltubes under inside-explosive loading is studied theoretically andnumerically. The damage is defined as the ratio of the void volume tothe total volume of the materials, and the surface energy's increase forthe void growth is considered to be provided by the strain energy of thematerials in a limited neighbourhood, which expands with the volumetricwave speed of the material. From the above point of view, the damagefunction models and the damage evolution equations for the micro voidsin materials are established by means of combining the physicalstatistics method and the phenomenological research method. In ourdamage evolution equations, the effect of the plastic volumetric strainon the damage evolution is considered. Then on the basis of deformationthermodynamics, the