首页|二氧化硅粒子增强硅橡胶复合材料的动态力学行为及其非线性超粘弹性本构模研究

二氧化硅粒子增强硅橡胶复合材料的动态力学行为及其非线性超粘弹性本构模研究

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二氧化硅粒子增强硅橡胶(SiO2-particle reinforced silicon rubber composite,SP-RSRC)是一种性能优异的复合材料,在缓冲防护领域应用十分广泛。为研究SP-RSRC在静、动态载荷作用下的力学性能,采用材料测试系统(MTS)和分离式霍普金森压杆(split Hopkin-son pressure bar,SHPB)对材料进行压缩实验,获得了不同应变率下材料的应力-应变曲线及相关力学参数。静、动态压缩实验结果表明:SP-RSRC具有明显的非线性与应变率敏感性。基于Ogden应变能密度理论与率相关松弛时间函数建立了非线性粘弹性本构模型。拟合结果表明,该模型可准确描述SP-RSRC的动态力学响应,且有效减少了基于Prony级数的传统粘弹性模型材料参数过多的问题。使用建立的非线性粘弹性本构模型预测了SP-RSRC在广应变率范围(1×10-3-3065 s-1)、大应变条件下的应力应变曲线,并基于此对LS-DYNA中的简化橡胶模型进行标定。为对标定模型的准确性进行验证,基于一级空气炮开展了逆弹道冲击实验,并针对SHPB实验与逆弹道实验进行了数值模拟,与实验的对比结果表明,标定后的简化橡胶模型可以较好地表征SP-RSRC在冲击载荷下的力学响应特性。本研究可为SP-RSRC在缓冲防护领域的应用提供有价值的参考。
Dynamic mechanical behavior and nonlinear hyper-viscoelastic constitutive model of SiO2 particle-reinforced silicone rubber composite:experimental and numerical investigation
SiO2-particle reinforced silicon rubber composite(SP-RSRC)is a widely utilized material that offers shock absorption protection to various engineering structures in impact environments.This paper presents a comprehensive investigation of the mechanical behavior of SP-RSRC under various strain rates,employing a combination of experimental,theoretical,and numerical analyses.Firstly,quasi-static and dynamic compression tests were performed on SP-RSRC utilizing a universal testing machine and split Hopkinson pressure bar(SHPB)apparatus.Nonlinear stress-strain relationships of SP-RSRC were obtained for strain rates ranging from 1 × 10-3 to 3065 s-1.The results indicated that the composite showed evident strain rate sensitivity,along with nonlinearity.Then,a nonlinear visco-hyperelastic constitutive model was developed,consisting of a hyperelastic component utilizing the 3rd-order Ogden energy function and a viscous component employing a rate-dependent relaxation time scheme.The model accurately characterized the dynamic mechanical response of SP-RSRC,effectively mitigating the challenge of calibrating an excessive number of material parameters inherent in conventional viscoelastic models.Furthermore,the simplified rubber material(SRM)model,integrated within the LS-DYNA software,was chosen to depict the mechanical properties of SP-RSRC in numerical simulations.The parameters of the SRM model were further calibrated based on the strain-stress relationships of SP-RSRC,as predicted by the developed nonlinear visco-hyperelastic constitutive model.Finally,an inverse ballistic experiment using a single-stage air gun was conducted for SP-RSRC.Nu-merical simulations of SHPB experiments and the inverse ballistic experiment were then performed,and the reliability of the calibrated SRM model was verified by comparing the results of experiments and numerical simulations.This study offers a valuable reference for the utilization of SP-RSRC in the realm of impact protection.

Silicone rubber compositesDynamic mechanical propertiesNonlinear visco-hyperelastic constitutive modelInverse ballistic experiment

张羲黄、吴学星、杨荷、陈莹、程祥利、刘波、赵慧

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Institute of Electronic Engineering,China Academy of Engineering Physics,Mianyang 621999,China

State Key Laboratory of Explosion Science and Technology Beijing Institute of Technology Beijing 100081,China

Silicone rubber composites Dynamic mechanical properties Nonlinear visco-hyperelastic constitutive model Inverse ballistic experiment

2024

力学学报(英文版)

力学学报(英文版)

CSTPCD
影响因子:0.363
ISSN:0567-7718
年,卷(期):2024.40(6)