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

本课题主要包括两个部分：[1]热载荷作用下功能梯度材料本构方程的研究;[2]利用有限元法（FEM）对含裂纹和不含裂纹的功能梯度材料进行热应力释放的程序系统的开发;[1]热载荷作用下功能梯度材料本构方程的研究。功能梯度材料是由陶瓷和金属组成的复合材料。因此，功能梯度材料可以被认为是一种其组成成分依赖于位置的复合材料。建立了考虑热载荷作用的功能梯度材料本构方程。基于Eshelby的椭球夹杂解和Mori-Tanaka的概念，建立了颗粒增强复合材料热弹塑性和损伤的增量理论 ...更多信息 第二部分：利用有限元法（FEM）对含裂纹和不含裂纹的功能梯度材料进行热应力释放的编程系统的开发。(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体和颗粒的应力-应变曲线。即使平均应力为零，大的压缩应力发生在基体中，但大的拉伸应力发生在颗粒中。应力-应变曲线在很大程度上取决于功能梯度材料的制造工艺。(3)通过对含边裂纹功能梯度板在冷热循环供热下应力强度因子随时间变化的计算，得到了如下结果。大应力强度因子的区域被限制在很薄的层内，裂纹扩展长度被限制在板厚的十分之一以内。功能梯度材料的最佳成分为陶瓷到金属的线性分布。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”。