Computer Methods in Applied Mechanics and Engineering ( IF 7.2 ) Pub Date : 2021-11-09 , DOI: 10.1016/j.cma.2021.114246 Yaxun Liu 1 , Lisheng Liu 1 , Hai Mei 1 , Qiwen Liu 1 , Xin Lai 1
As a mathematical expression of the dynamic mechanical behavior, the constitutive model plays an indispensable role in numerical simulations of ceramic materials. The current bond-based peridynamic constitutive models can accurately describe the dynamic mechanical behavior of partial ceramic materials under impact loading, however, the predicted value of the Poisson’s ratio is 0.25, which is not true for most of the known ceramic materials. Herein, based on the existing bond-based peridynamic constitutive model, the current study utilizes the description of tangential bond force and considers the influence of bond force on rotation to accurately predict the Poisson’s ratio of different types of ceramic materials, e.g., SiC and C. Moreover, a novel and comprehensive damage assessment criterion during tensile–shear and compressive–shear is established, and the rate-dependent bond-based peridynamic constitutive model is improved, which realized the optimization of the original model. Then, the improved rate-dependent bond-based peridynamic constitutive model is employed to conduct several numerical experiments, including frontal impact, edge-on impact and uniaxial compression experiments. The simulation results are compared with the classical finite element model and experimental results, demonstrating the superiority of the optimized model in terms of accuracy and versatility. The optimized model describes the damage behavior of different ceramic materials and provides theoretical bases for future work in penetration behavior of ceramics.
中文翻译:
具有旋转效应的陶瓷材料动态力学行为的修正速率相关近场动力学模型
本构模型作为动态力学行为的数学表达式,在陶瓷材料的数值模拟中起着不可或缺的作用。当前基于键的近场动力学本构模型可以准确地描述部分陶瓷材料在冲击载荷下的动态力学行为,然而,泊松比的预测值为 0.25,这对于大多数已知陶瓷材料而言并非如此。在此,本研究基于现有的基于键的近场动力学本构模型,利用切向键力的描述并考虑键力对旋转的影响来准确预测不同类型陶瓷材料的泊松比,例如 SiC 和C.此外,建立了一种新颖的、综合的拉剪和压剪损伤评估准则,改进了基于速率依赖的基于键的近场动力学本构模型,实现了对原始模型的优化。然后,采用改进的基于速率的基于键的近场动力学本构模型进行了多项数值实验,包括正面碰撞、边缘碰撞和单轴压缩实验。将仿真结果与经典有限元模型和实验结果进行对比,证明了优化模型在准确性和通用性方面的优越性。优化后的模型描述了不同陶瓷材料的损伤行为,并为未来陶瓷渗透行为的研究提供了理论基础。