Dendrite fragmentation by catastrophic elastic remelting

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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.
Accepted by Acta Materialia, 16 pages, 7 figures

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Materials Science

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http://salesiana.dossiersoluciones.com/handle/123456789/171325

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2017
 http://arxiv.org/abs/0810.2017

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arXiv