灾难性弹性重熔导致枝晶破碎
Dendrite fragmentation by catastrophic elastic remelting
摘要：
本文提出了一种新的枝晶臂破碎机制。该机制的理论基础是由于弹性能的存在，固液界面处的热平衡发生了变化。该效应由广义吉布斯-汤姆森条件[1]建模，其中每个项使用简单的伯努利-欧拉梁模型解析计算。由此产生的非线性系统的常微分方程的时间积分使用全隐式计划。它表明，有一个临界水平的负载，超过这将导致灾难性的减少颈部截面，导致枝晶脱离。
英文摘要：
The paper proposes a new fragmentation mechanism of dendrite arms. The theoretical basis of this mechanism is a shift in the thermodynamical equilibrium at the solid-liquid interface due to the presence of elastic energy. This effect is modelled by the generalized Gibbs-Thomson condition [1], where each term is calculated analytically using a simple Bernoulli-Euler beam model. The resulting nonlinear system of ordinary differential equations is integrated in time using a fully implicit scheme. It is demonstrated that there is a critical level of loading, exceeding which causes a catastrophic reduction of the neck cross section leading to dendrite detachment.
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