Strain rate dependence of spall strength for solid and molten lead and tin

Mayer, Alexander E.; Mayer, Polina N.

doi:10.1007/s10704-020-00440-8

Cited by 31 publications

(16 citation statements)

References 95 publications

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“…away from boundaries) a volume of pure liquid occurs in the process of spontaneous decay of its metastable state due to thermodynamic fluctuations 19 . This implies that, other factors being equal, the spall strength σ sp must increase with the increasing strain rate, which is confirmed by many experiments 2,29 and the MD simulations 13 . Hence, the theoretical maximum of σ sp -the ultimate strengthmust be attained at the spinodal…”

Section: B Spall Criterion and The Phase-flip Approximationsupporting

confidence: 62%

“…The small correction ū′ sp ≃ σ th /ρ 0 c 2 0 , accounting for the fluid expansion between the t 1m and t sp moments, is typically a few percent even for the highest theoretical values of σ th 12,13,41 and can usually be neglected; the PA formula for |ū ′ sp | is given in the next section. If time t 2 is known from the measurements of the free surface velocity f s (t), one readily obtains an alternative a posteriori LU estimate m1m = 1 − 1 2…”

Section: Evaluation Of the Strain Ratementioning

confidence: 99%

“…A well-established approach is to use the first-principle molecular dynamics (MD) simulations [11][12][13] , which provide an important insight and allow calculation of the ultimate spall strength in liquids at high strain rates but are limited to sub-micron targets, are computationally very costly and, for that reason, not quite practical. A much simpler and computationally inexpensive alternative is to simply adopt the fully equilibrium (EQ) equation of state (EOS), obtained by applying Maxwell's rule to the primitive EOS of the van-der-Waals (vdW) type 9,[14][15][16] .…”

Section: Introductionmentioning

confidence: 99%

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On the theory and numerical modeling of spall fracture in pure liquids

Basko

2021

Preprint

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A novel phase-flip model is proposed for thermodynamically consistent and computationally efficient description of spallation and cavitation in pure liquids within the framework of ideal hydrodynamics. Aiming at ultra-fast dynamic loads, the spall failure of a liquid under tension is approximated as an instantaneous decomposition of metastable states upon reaching the spinodal stability limit of an appropriate two-phase liquid-gas equation of state. The spall energy dissipation occurs as entropy jumps in two types of discontinuous solutions, namely, in hypersonic spall fronts and in pull-back compression shocks. Practical application of the proposed model is illustrated with numerical simulations and a detailed analysis of a particular problem of symmetric plate impact. The numerical results are found to be in good agreement with the previously published molecular-dynamics simulations. Also, new approximate nonlinear formulae are derived for evaluation of the strain rate, fractured mass, and spall strength in terms of the observed variation of the free-surface velocity. The new formula for the spall strength clarifies complex interplay of the three first-order nonlinear correction terms and establishes a universal value of the correction factor for attenuation of the spall pulse, which in the limit of weak initial loads is independent of the equation of state.

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Section: B Spall Criterion and The Phase-flip Approximationsupporting

confidence: 62%

Section: Evaluation Of the Strain Ratementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the theory and numerical modeling of spall fracture in pure liquids

Basko

2021

Preprint

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“…Распределение пор по размерам и их количество определялось по алгоритму обработки атомных конфигураций [5,6]. На основе предыдущих наработок [7,8] развита и проверена по результатам МД континуальная модели динамического разрушения тугоплавких металлов. Для определения параметров модели используется вероятностный алгоритм Байеса.…”

Section: челябинский государственный университет челябинскunclassified

Development of a Continual Model of Dynamic Fracture of Refractory Metals

Voronin¹,

Mayer²

2022

Physical Mesomechanics of Materials. Physical Principles of Multi-Layer Structure Forming and Mechanisms of Non-Linear Behavior

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“…The predictive modeling of the experimentally observed behavior of metallic materials under shock loading conditions (wave structures, spall strengths) is a critical challenge toward the design of next-generation structural materials [3]. Earlier studies revealed that spallation is a complex multi-scale process [1,4], affected by many factors such as shock pressure [5], loading waveform [6], strain rate [7,8], temperature [9,10], and heterogeneity in the microstructure [11][12][13]. Compared to the loading conditions that can be directly controlled, it is more difficult to study the effect of microstructure on spallation due to the lack of high resolution and ultra-fast in-situ diagnostic technology.…”

Section: Introductionmentioning

confidence: 99%

Spallation Characteristics of Single Crystal Aluminum with Copper Nanoparticles Based on Atomistic Simulations

et al. 2021

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In this study, the effects of Cu nanoparticle inclusion on the dynamic responses of single crystal Al during shockwave loading and subsequent spallation processes have been explored by molecular dynamics simulations. At specific impact velocities, the ideal single crystal Al will not produce dislocation and stacking fault structure during shock compression, while Cu inclusion in an Al–Cu nanocomposite will lead to the formation of a regular stacking fault structure. The significant difference of a shock-induced microstructure makes the spall strength of the Al–Cu nanocomposite lower than that of ideal single crystal Al at these specific impact velocities. The analysis of the damage evolution process shows that when piston velocity up ≤ 2.0 km/s, due to the dense defects and high potential energy at the interface between inclusions and matrix, voids will nucleate preferentially at the inclusion interface, and then grow along the interface at a rate of five times faster than other voids in the Al matrix. When up ≥ 2.5 km/s, the Al matrix will shock melt or unloading melt, and micro-spallation occurs; Cu inclusions have no effect on spallation strength, but when Cu inclusions and the Al matrix are not fully diffused, the voids tend to grow and coalescence along the inclusion interface to form a large void.

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Strain rate dependence of spall strength for solid and molten lead and tin

Cited by 31 publications

References 95 publications

On the theory and numerical modeling of spall fracture in pure liquids

On the theory and numerical modeling of spall fracture in pure liquids

Development of a Continual Model of Dynamic Fracture of Refractory Metals

Spallation Characteristics of Single Crystal Aluminum with Copper Nanoparticles Based on Atomistic Simulations

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