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Thermal diffusion analysis by using dual horizon peridynamics
Journal of Thermal Stresses ( IF 2.8 ) Pub Date : 2020-11-18 , DOI: 10.1080/01495739.2020.1843378
Bingquan Wang 1 , Selda Oterkus 1 , Erkan Oterkus 1
Affiliation  

Abstract In this study, Dual Horizon Peridynamics formulation is presented for thermal diffusion analysis. Lagrangian formalism is utilized to derive the governing equations. The proposed formulation allows utilization of variable discretization and horizon sizes inside the solution domain which can result in significant benefits in terms of computational time. To demonstrate the capability of the Dual Horizon Peridynamics formulation, three different example problems are considered including a square plate with temperature and no flux boundary conditions, a square plate under thermal shock loading, and a square plate with an insulated crack. For all problems that are considered good agreement is obtained between peridynamics (PD) predictions and finite element method (FEM) results.

中文翻译:

使用双视界近场动力学进行热扩散分析

摘要 在本研究中,提出了用于热扩散分析的双视场近场动力学公式。拉格朗日形式主义用于推导控制方程。所提出的公式允许在解域内利用可变离散化和视界大小,这可以在计算时间方面带来显着的好处。为了证明双视场近场动力学公式的能力,我们考虑了三个不同的示例问题,包括具有温度和无通量边界条件的方板、处于热冲击载荷下的方板和具有绝缘裂纹的方板。对于所有被认为具有良好一致性的问题,在近场动力学 (PD) 预测和有限元方法 (FEM) 结果之间获得。
更新日期:2020-11-18
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