基于线性Drucker-Prager模型的PBX准静态弹塑性变形分析

根据高聚物粘结炸药(PBX)的力学特性,将线性Drucker-Prager模型引入到PBX材料的弹塑性变形研究中。基于线性Drucker-Prager模型,结合经典塑性理论,分析了PBX准静态弹塑性变形过程。明晰了其后继屈服面的特征,推导了其刚度算法,构造了其弹塑性本构模型。从理论上分析了单轴压缩状态、双轴压缩状态条件下的应力应变关系。利用线性Drucker-Prager模型模拟了PBX材料的单元特性。结果表明,其单轴压缩模拟结果和双轴压缩模拟结果均与理论分析结果、实验数据一致。经对比,双轴压缩的极限强度是单轴的1.16倍,相应塑性应变是其0.5倍。

Quasi-static Elastoplastic Deformation Analysis of PBX Based on Linear Drucker-Prager Model

On the basis of the mechanical properties of polymer bonded explosive (PBX), the linear Drucker-Prager model was introduced into the elastic-plastic deformation study of the PBX material. Based on the linear Drucker-Prager model, combined with the classical plasticity theory, the quasi static elastic-plastic deformation process of the PBX was analyzed. The subsequent yield surface characteristics were cleared. Its stiffness algorithm was derived. The elastoplastic constitutive model was constructed. The relationship of stress and strain under the conditions of uniaxial compression state and biaxial compression state was analyzed in theory. The unit characteristics of PBX material were simulated by the linear Drucker-Prager model. Results show that the uniaxial compression simulation results are consistent with theoretical analysis ones and experimental data. The biaxial compression simulation results are consistent with the theoretical analysis ones. By contrast, the ultimate strength of the biaxial compression is 1.16 times greater than that of the uniaxial compression. Corresponding plastic strain is 0.5 times greater than that of the uniaxial compression.