A concise, two-dimensional discrete heat transfer model is presented, which considers the thermal resistance effects of cracks. The discrete heat transfer model discretizes the continuum into individual triangular elements, and the adjacent triangular elements transfer heat through corresponding joint elements. Then, the principle of selecting the heat exchange coefficient of the joint element is determined through a parameter sensitivity analysis. Moreover, the 2D discrete heat transfer model is combined with the finite discrete element method to build a thermomechanical coupled model for simulating brittle material thermal cracking. The thermal stress and thermal shock problems are studied by using the thermomechanical coupled model, and the numerical results are compared with either the analytical solution or experimental results to validate the 2D discrete heat transfer model and thermomechanical coupled model. The discrete heat transfer model and thermomechanical coupled model provide a powerful tool for solving heat transfer problems in discontinuous media as well as the thermal cracking problem in brittle materials.

中文翻译：

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考虑裂缝热阻效应的二维离散传热模型，用于模拟脆性材料的热裂纹

提出了一个简洁的二维离散传热模型，该模型考虑了裂纹的热阻效应。离散传热模型将连续体离散为单个三角形元素，相邻的三角形元素通过相应的接头元素传递热量。然后，通过参数敏感性分析确定选择连接元件的热交换系数的原理。此外，将二维离散传热模型与有限离散元素方法相结合，以建立热机械耦合模型来模拟脆性材料的热裂纹。通过热力耦合模型研究了热应力和热冲击问题，并将数值结果与解析解或实验结果进行比较，以验证二维离散传热模型和热力耦合模型。离散传热模型和热机械耦合模型为解决不连续介质中的传热问题以及脆性材料中的热裂问题提供了强大的工具。