Development of Supporting System of Design of the Functionally Graded Materialsand its Constitutional Equations

功能梯度材料及其构成方程设计支撑系统的开发

• 批准号: 06650101
• 负责人: NODA Naotake
• 金额: $ 1.28万
• 依托单位: Shizuoka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06650101/
• 关键词: Elasto-Plasticity; Thermal Stresses; Functionally Gradient Materials; Constitutional Equation; Nonhomogeneous Body; Crack; Stress Intensity Factor; Finite Element Method

This research project consists of two parts : [1] Study of constitutional equations of the functionally graded materials (FGMs) under thermal load, [2] Developments of programming system to release the thermal stresses in FGMs with and without a crack by Finite Element Methods (FEM).PART [1] : Study of constitutional equations of the functionally graded materials (FGMs) under thermal load. The functionally graded materials (FGMs) are consisted by compositional components of the ceramics and metals. Then, FGMs can be considered as one of the composite materials which its compositional components dependent on the position. The constitutional equations are proposed for the functionally graded materials taking into consideration of thermal load. The equations are developed by an incremental theory which describes the thermal elasto-plastic behavior and damage behavior of particulate-reinforced composites, based on Eshelby's solution of an ellipsoidal inclusion and Mori-Tanaka's conception … More of average stress-strain for the finite concentration of particles under thermal load.PART [2] : Developments of programming system to release the thermal stresses in FGMs with and without a crack by Finite Element Methods (FEM).(1) We could develop programming system to discuss the thermal stresses in the FGMs by used of the proposed constitutional equations.(2) The stress-strain curves are calculated for the matrix and the particle by used of the proposed constitutional equations. Even if the average stress is zero, large compressible stress occurs in the matrix, but large tensile stress occurs in the particle. The stress-strain curves largely depend on the manufacturing process of the FGMs.(3) From the results of calculation for the time variation of the stress intensity factor of the functionally graded plate with an edge crack under heating-cooling cycle heat supply, we obtained the following results. The region of the large stress intensity factor is restricted within a very thin layr, and length of crack growth is restricted within one time tenth of the thickness of the plate. The optimal composition of the component of FGMs is linear distribution from the ceramics to the metal. Less

本研究由两部分组成：[1]热载荷作用下功能梯度材料本构方程的研究，[2]含裂纹和无裂纹功能梯度材料热应力有限元释放程序系统的开发。功能梯度材料由陶瓷和金属的组成成分组成。因此，功能梯度材料可以被认为是其组成成分与位置有关的复合材料之一。建立了考虑热载荷的功能梯度材料本构方程。这些方程是由描述颗粒增强复合材料的热弹塑性行为和损伤行为的增量理论建立的，该理论基于椭球夹杂的伊谢尔比解和森田中的…概念有限浓度颗粒在热载荷作用下的平均应力-应变分布。PART[2]：用有限元方法对有裂纹和无裂纹功能梯度材料的热应力释放进行了程序设计。(1)利用所提出的本构方程，我们可以开发程序系统来讨论功能梯度材料中的热应力。(2)利用所提出的本构方程，计算了基质和颗粒的应力-应变曲线。即使平均应力为零，基质中也会出现较大的压缩应力，而颗粒中会出现较大的拉应力。应力-应变曲线在很大程度上取决于功能梯度材料的制备工艺。(3)通过对含边裂纹功能梯度板在冷热循环供热下的应力强度因子随时间变化的计算，得到了以下结果。大应力强度因子的区域被限制在很薄的一层内，裂纹扩展长度被限制在板厚度的十分之一以内。功能梯度材料成分的最佳组成是从陶瓷到金属的线性分布。较少

项目成果

野田直剛: "機傾斜機能材料の熱応力問題" 日本機械学会 講演論文集 全国大会講演会. No.940-30. 122-123 (1994)

Naotake Noda：“功能梯度材料的热应力问题”日本机械工程师学会会议录第 940-30 号（1994 年）。

M.Nemat-Alla and N.Noda: "Thermal Stress Intensity Factor for Functionally Gradient Half Space with and Edge Crack under Thermal Load" Archive of Applied Mechanics. 66(8). 569-580 (1996)

M.Nemat-Alla 和 N.Noda：“热载荷下具有边缘裂纹的功能梯度半空间的热应力强度因子”应用力学档案。

野田直剛: "傾斜機能材料の熱応力" 日本機械学会関西支部第70期定時総会講演講演会フォーラム・ワークショップ資料集. 102-113 (1995)

Naotake Noda：“功能梯度材料中的热应力”日本机械工程师学会关西分会第 70 届年会论坛和研讨会材料 102-113 (1995)。

M.Nemat-Alla and N.Noda: "Study of an Edge Crack Problem in a Semi-infinite Functionally Graded Medium with Two Dimensionally Nonhomogeneous Coefficient of Thermal Expansion under Thermal Load" Journal of Thermal Stresses. 19(9). 863-888 (1996)

M.Nemat-Alla 和 N.Noda：“热负荷下具有二维非均匀热膨胀系数的半无限功能梯度介质中的边缘裂纹问题的研究”热应力杂志。

N.Noda and Z.Jin: "A Crack in Functionally Gradient Materials under Thermal Shock." Archiv of Applied Mechanics. Vol.64, No.2. 99-110 (1994)

N.Noda 和 Z.Jin：“热冲击下功能梯度材料的裂纹”。