HMX单晶相变过程中非线性Specific Heat的预测
Prediction of Nonlinear Specific Heat During Single Crystal HMX Phase Transition
摘要：
本文建立了含能HMX晶体$β\rightarrowδ$相变的化学热力学模型。与以前的模型相比，它要么考虑比热是一个常数或利用校准函数，该模型提供了新的表达式，直接从连续介质力学在恒定体积和恒定的弹性应变的比热。此外，该模型提供了一种新的预测的临界温度，在该温度下的化学加热速率达到其极值的阿克里尼乌斯动力学。数值解预测高度非线性的比热行为，包括数量级的变化。
英文摘要：
We develop a thermodynamically consistent chemo-thermo-mechanical model for the $β\rightarrowδ$ phase transition of energetic HMX crystals. In contrast to previous models, which either considered specific heat to be a constant or utilized a calibrated function, this model provides novel expressions for the specific heats at constant volume and constant elastic strains derived directly from continuum mechanics. In addition, the model provides a novel prediction for the critical temperature at which the chemical heating rate achieves its extremum for Arrhenius kinetics. The numerical solution predicts highly nonlinear specific heat behavior including order of magnitude changes.
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