A Thermal Elastic Model for Directional Crystal Growth with Weak Anisotropy

Wu, Jinbiao; Bohun, C. Sean; Huang, Huaxiong

doi:10.1137/070698439

SIAM J. Appl. Math.

2008

DOI: 10.1137/070698439

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A Thermal Elastic Model for Directional Crystal Growth with Weak Anisotropy

Jinbiao Wu¹,

C. Sean Bohun²,

Huaxiong Huang³

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2010

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“…In this paper we investigate the geometric effect while the combined geometric and material anisotropy case will be considered in a subsequent paper [28]. In Section 2 we will present a mathematical model for lateral growth and the thermal problem is described in Section 3.…”

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confidence: 99%

A thermal elastic model for constrained crystal growth with facets

Bohun

Huang

2010

J Eng Math

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Abstract. In this paper we present a model for computing thermal stress inside a crystal with facets. Using a systematical perturbation analysis, a semi-analytical thermal stress solution is obtained for constrained directional growth with small lateral heat flux. Our solution can be applied to crystals grown by various growth techniques such as the Czochralski method. The semianalytical nature of the solution allows us to compute thermal stress in crystals with facets much more efficiently, compared to a full 3D simulation. Examples are given for crystals pulled in a variety of seed orientations.

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mentioning

confidence: 99%

A thermal elastic model for constrained crystal growth with facets

Bohun

Huang

2010

J Eng Math

Self Cite

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A Thermal Elastic Model for Directional Crystal Growth with Weak Anisotropy

Cited by 1 publication

References 12 publications

A thermal elastic model for constrained crystal growth with facets

A thermal elastic model for constrained crystal growth with facets

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