Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues

Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues
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DOI:
10.1063/1.869887
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发表时间:
1999-01
期刊:
影响因子:
4.6
通讯作者:
J. Bdzil;R. Menikoff;S. Son;A. Kapila;D. Stewart
J. Bdzil;R. Menikoff;S. Son;A. Kapila;D. Stewart
中科院分区:
工程技术2区
文献类型:
--
作者:
J. Bdzil;R. Menikoff;S. Son;A. Kapila;D. Stewart

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本文评述了Baer和Nunziato (BN)建立的用于研究颗粒炸药爆燃-爆轰过渡(DDT)的两相混合模型。考察了该模型的连续混合理论基础,特别注意了其本构函数的表述方式。在晶粒尺度上发生的力学和能量现象之间的联系,以及它们在连续平均尺度上的表现,被探索。在制定本构条款固有的近似的性质和程度,以及他们的适用范围,澄清。文中列举了推导过程中的不足和不一致之处,并提出了改进建议。强调熵不等式约束但不是唯一地决定相相互作用项。由此产生的灵活性被用来提出相相互作用的改进形式。这些改进的形式更好地处理了与动态压实相关的能量。
The two-phase mixture model developed by Baer and Nunziato (BN) to study the deflagration-to-detonation transition (DDT) in granular explosives is critically reviewed. The continuum-mixture theory foundation of the model is examined, with particular attention paid to the manner in which its constitutive functions are formulated. Connections between the mechanical and energetic phenomena occurring at the scales of the grains, and their manifestations on the continuum averaged scale, are explored. The nature and extent of approximations inherent in formulating the constitutive terms, and their domain of applicability, are clarified. Deficiencies and inconsistencies in the derivation are cited, and improvements suggested. It is emphasized that the entropy inequality constrains but does not uniquely determine the phase interaction terms. The resulting flexibility is exploited to suggest improved forms for the phase interactions. These improved forms better treat the energy associated with the dynamic compacti...