Numerical thermal shock analysis of functionally graded and layered materials
Numerical thermal shock analysis of functionally graded and layered materials
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功能梯度和层状材料的数值热冲击分析
DOI：
10.1016/j.ijthermalsci.2012.05.005
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发表时间：
2012
影响因子：
4.5
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中科院分区：
文献类型：
--
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严重的热冲击可能会导致耐火材料的临界热应力和失效。碳基陶瓷因其耐久性，在钢铁工业中经常使用，这对钢材质量和环境造成了负面影响。层状或功能梯度陶瓷可以降低耐火材料中的碳含量。为了优化这些替代结构的性能，需要进行热力学模拟。本文提出了一种求解空间变参数热传导偏微分方程组的有限差分方法。以三层板为例，给出了顶面恒温跃变时的温度和热应力的瞬时分布。还给出了一条功能梯度材料(FGM)的计算结果。将该有限差分法的温度和热应力解与有限元方法和已知的渐近解进行了比较，结果表明该方法具有较高的计算精度。针对在有限元程序ABAQUS中实现功能梯度法的问题，提出了避免常用的简单分层逼近的改进方法。
Severe thermal shocks may cause critical thermal stresses and failure in refractory materials. Because of durability, carbon based ceramics are often used in steel industry, which have negative side effects on steel quality and environment. Layered or functionally graded ceramics allow to reduce the carbon content in refractories. In order to optimize properties of these alternative structures, thermo-mechanical simulations are required. In this study, a finite difference method (FDM) is developed for solving the partial differential equation of heat conduction with spatially varying parameters. The transient temperature and thermal stresses are exemplarily presented for a three-layered strip subjected to constant temperature jump on the top surface. Results are also given for a strip of functionally graded material (FGM). The comparison of the temperature and thermal stress solutions of the presented FDM with the finite element method (FEM) and a known asymptotic solution shows its high performance. In view of implementing FGM in the finite element program Abaqus, improved techniques are outlined to avoid the often used simple approximation by layering.