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非均质炸药的Eshelby夹杂理论相场方法

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考虑到夹杂-基体界面微结构复杂失效过程对非均质 PBX(高聚物黏结炸药)材料损伤起始具有主导作用,本文提出基于 Eshelby 夹杂理论的相场损伤模型,对非均质 PBX 炸药损伤形核演化进行数值模拟.相场能量由弹性能和夹杂-基体相互作用能构成,结合 Mori-Tanaka方法推导不同级配下 PBX 炸药等效力学模量,相场内变量的变化直接反映了非线性脱黏效应下的损伤分布.采用 Eshelby 夹杂理论相场方法计算高模量比非均质 PBX炸药圆形和多边形颗粒夹杂典型结构,分析加载条件、颗粒形状、体积占比、模型参数对夹杂-基体界面脱黏机制的影响.数值结果表明:夹杂-基体界面微结构演化加速了界面脱黏与宏观损伤的形成,与实验观测是一致的.
Phase-Field Fracture Method Based on Eshelby Theory for Heterogeneous PBX
Taking the advantages of tracking discontinuous material surfaces explicitly within the continuous mechanics framework,the phase field method has been successfully applied to study crack propagation and damage in brittle materials.Considering that the complex micro-structural inclusion-matrix interaction dominates the damage nucleation for heterogeneous PBX,we develop a phase field inclusion model based on the Eshelby's inclusion theory,and carry out the numerical simulation study of damage initiation and evolution.The phase field energy consists of the elastic energy and the inclusion-matrix interaction energy.Combining with the Mori-Tanaka method,the effective elastic moduli of heterogeneous PBXs with different volume fractions are derived.For the proposed phase field inclusion model,the nonlinear debonding effects and damage distribution can be characterized by the phase field order parameter directly.It owns explicity in physical mechanism,and completeness in mathematical theory.We apply this model to compute the high volume fraction heterogeneous PBXs with typical circular and polygonal inclusions,and investigate the influences of loading,inclusion shape,volume fraction and computational parameters on the debonding mechanism.Numerical results indicate that the inclusion-matrix micro-structural evolution promotes interface debonding and the formation of macroscopic material failure,which coincides with experimental observations.

heterogeneous PBXinclusiondamage evolutionphase field modelEshelby theory

徐云、龙瑶、向美珍、陈军

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北京应用物理与计算数学研究所,北京 100088

非均质PBX 夹杂 损伤演化 相场模型 Eshelby理论

国家自然科学基金

12172062

2024

计算物理
中国核学会

计算物理

CSTPCD北大核心
影响因子:0.366
ISSN:1001-246X
年,卷(期):2024.41(5)