Mathematical Analysis for Reduction of Thermal Stress in Functionally Graded Materials and Multi-objective Optimization of Material Composition

功能梯度材料热应力降低的数学分析和材料成分的多目标优化

• 批准号: 10650067
• 负责人: SUGANO Yoshihiro
• 金额: $ 1.41万
• 依托单位: IWATE UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650067/
• 关键词: Functionally Graded Materials; Phase Transformation; Thermal Stress Relaxation; Nonhomogeneous Heat Conduction; Nonhomogeneous Thermoelasticity; Material Tailoring; Design of Cooling Process; 熱応力緩和; 不均質熱弾性

Functionally graded materials(FGM) was proposed in order to increase the adhesion strength and minimize the thermal stress in the ceramic coatings and joints being developed for the reusable rocket engine and structural elements. Today it is well known that this continuous control of a property could be extended to a more general concept that could be applied to impart new properties and functions to any material by gradually changing its texture or composition .Before using, material composition of metal/ceramic FGM must be designed based on the temperature and thermal stress analyses for the thermal stress relaxation under the expected thermal environment. During cooling after processing, the severe thermal stress lead to crack formation, also occurs in the ceramic-rich layer of the designed FGM for the reduction of the thermal stress during heating. The reduction of thermal stress during cooling must be accomplished by other method besides controlling material composition .In this r … More esearch, phase transformation of partially stabilized zirconia(PSZ) in SUS304/PSZ FGM plate was used for the purpose of the reduction of thermal stress during cooling. Controlling the cooling process of the plate surfaces is needful for the effective-use of the phase transformation with the volume expansion. Then an analytical solution was derived for the transient heat conduction problem in the FGM plate with arbitrary thermal nonhomogenieties by the piecewise-linear nonhomogeneous approximation method developed by Sugano and the convolution theorem of Laplace transformation. An expression of the thermal stress including phase transformation strain was obtained from an extension of thermal stress expression in nonhomogeneous plate with arbitrary mechanical nonhomogenieties derived by Sugano. The results of numerical calculation for the various cases of volume fraction distribution of ceramic through the thickness and cooling speed of the plate surfaces, has shown that phase transformation of PSZ is excellently useful for the reduction of thermal stress in SUS304/PSZ FGM during cooling after high-temperature processing. Less

为了提高可重复使用火箭发动机和结构件陶瓷涂层和连接件的结合强度，减小热应力，提出了功能梯度材料（FGM）。金属/陶瓷功能梯度材料在使用前必须根据温度和热应力分析设计材料成分，以保证材料在预期的热环境下的热应力松弛。在加工后的冷却过程中，严重的热应力导致裂纹的形成，也发生在所设计的功能梯度材料的富陶瓷层，以减少加热过程中的热应力。降低冷却过程中的热应力，除了控制材料成分外，还必须通过其它方法来实现。 ...更多信息 此外，利用部分稳定氧化锆（PSZ）在SUS 304/PSZ FGM板中的相变来降低冷却过程中的热应力。为了有效地利用伴随体积膨胀的相变过程，需要控制钢板表面的冷却过程。然后利用Sugano提出的分段线性非齐次近似方法和拉普拉斯变换的卷积定理，得到了具有任意热非均匀性的功能梯度材料板瞬态热传导问题的解析解。将Sugano导出的具有任意力学非均匀性的非均匀板的热应力表达式推广，得到了包含相变应变的热应力表达式。数值计算结果表明，PSZ的相变对降低SUS 304/PSZ功能梯度材料高温加工后冷却过程中的热应力有很好的作用。少

项目成果

Y.Sugano and M. Onodera: "Reduction of Thermal Stress in a Functionally Graded Hollow Hemisphere"Transactions of Japan Society of Mechanical Engineers. 66-644 (2000)

Y.Sugano 和 M. Onodera：“减少功能分级空心半球中的热应力”日本机械工程师学会会刊。

菅野 良弘: "傾斜機能材料からなる中空半球の熱応力緩和"日本機械学会論文集(A編). 66巻644号(4月号). (2000)

Yoshihiro Kanno：“由功能梯度材料制成的空心半球中的热应力松弛”，日本机械工程师学会会刊（A 版），第 644 卷（2000 年 4 月）。

菅野良弘、小野寺正剛: "傾斜機能材料からなる中空半球の熱応用力緩和"日本機械学会論文集、A編. 66(4月号). (2000)

Yoshihiro Kanno，Masatake Onodera：“由功能梯度材料制成的空心半球中的热力松弛”，日本机械工程师学会汇刊，A 版（2000 年 4 月）。