Abstract

Temperature rise caused by surface heating is responsible for thermal-related failures of heterogeneous material, such as composites and alloys, in manufacturing processes and tribology. This study presents a semi-analytical method (SAM) for temperature rise in a half plane involving dispersed inhomogeneities of arbitrary shape undergoing external heat load. Green functions and frequency response functions (FRFs) for subsurface heat flux induced by the applied heat load, as well as a set of formulas for influence coefficients correlating disturbed temperature rise and uniform eigen-temperature gradients inside a rectangular inclusion in a full plane, are derived. The rectangular inclusion solution in a full plane is treated as an elementary solution to solve disturbed temperature rise in a heterogeneous half plane involving arbitrarily shaped inhomogeneities, through implementing the equivalent inclusion method (EIM), the method of images and discretizing the total computation area into a good many rectangular elements with the same size. Results obtained by the SAM are consistent with those of the finite element method (FEM). Effects of inhomogeneity numbers, material properties, volume fractions, and velocities of the moving heat load on temperature rise are discussed in detail.

1. HIGHLIGHTS

2. Green functions and frequency response functions for heat flux in a half plane subjected to surface heating are obtained.

3. Influence coefficients relating disturbed temperature rise and uniform rectangular inclusion in a full plane are derived.

4. The elementary rectangular inclusion method is utilized to cope with problems for inhomogeneities of arbitrary shapes and distributions.

5. Effects of inhomogeneity numbers, material properties, volume fractions, and velocities of the moving heat load on temperature rise are discussed.

摘要

由表面加热引起的温度升高是制造过程和摩擦学中异质材料（如复合材料和合金）与热相关的故障的原因。这项研究提出了一种半平面温度升高的半分析方法（SAM），该方法涉及承受外部热负荷的任意形状的分散不均匀性。由施加的热负荷引起的地下热通量的格林函数和频率响应函数（FRF），以及与整个平面内矩形夹杂物内部的受扰温升和均匀本征温度梯度相关的影响系数的一组公式是衍生的。通过实现等效包含方法（EIM），图像方法并将总计算面积离散为大小相同的许多矩形元素。SAM获得的结果与有限元方法（FEM）的结果一致。详细讨论了不均匀度数，材料特性，体积分数和移动热负荷的速度对温度升高的影响。SAM获得的结果与有限元方法（FEM）的结果一致。详细讨论了不均匀度数，材料特性，体积分数和移动热负荷的速度对温度升高的影响。SAM获得的结果与有限元方法（FEM）的结果一致。详细讨论了不均匀度数，材料特性，体积分数和移动热负荷的速度对温度升高的影响。

1. 强调

2. 获得在表面加热的半平面中的热通量的格林函数和频率响应函数。

3. 推导了与扰动的温度上升和整个平面内均匀的矩形夹杂有关的影响系数。

4. 基本的矩形包含方法用于解决任意形状和分布的不均匀性的问题。

5. 讨论了不均匀度数，材料特性，体积分数和移动热负荷的速度对温度升高的影响。