2008/10/11 by Sergey Ananiev, Ananiev, S., Petr A. Nikrityuk +3
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Metallurgical Processes and Thermodynamics #Solidification and crystal growth phenomena #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.0810.2017
openalex publication_date 2008/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.