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| 1 | Constitutive relation of an orthorhombic polycrystal with the shape coefficients显示文摘An orthorhombic polycrystal is an orthorhombic aggregate of tiny crystallites. In this paper, we study the effect of the crystalline mean shape on the constitutive relation of the orthorhombic polycrystal. The crystalline mean shape and the crystalline orientation arrangement are described by the crystalline shape function (CSF) and the orientation distribution function (ODF), respectively. The CSF and the ODF are expanded as an infinite series in terms of the Wigner D-functions. The expanded coefficients of the CSF and the ODF are called the shape coefficients sm0l and the texture coefficients cmnl respectively. Assuming that Ceff in the constitutive relation depends on the shape coefficients sm0l and the texture coefficients cmnl, by the principle of material frame-indifference we derive an analytical expression for Ceff up to terms linear in sm0l and cmnl , and the expression would be applicable to the polycrystal whose texture is weak and whose crystalline mean shape has weak anisotropy. Ceff contains six unspecified material constants (λ, μ, c, s1, s2, s3), five shape coefficients (s020, s220, s400, s420, s440), and three texture coefficients (c400, c420, c440). The results based on the perturbation approach are used to determine the five material constants approximately. We also find that the shape coefficients s2m0 and s4m0 are all zero if the crystalline mean shape is a cuboid. Some examples are given to compare our computational results. | Mojia Huang Zhiwen Lan Huiling Liang | 2005 | Acta Mechanica Sinica2005，21，6： | 10 |
| 2 | Constitutive relation of weakly anisotropic polycrystal with microstructure and initial stress显示文摘人(Nondestr 测试 Eval 15:191 214, 1999 ) 与微观结构和起始的应力的效果导出立方的雏晶的一个弱粗糙的斜方晶的总数的组成的关系。在这篇论文,集成上的计算表情被给。借助于计算表示,然后,有微观结构和起始的应力的考虑的一片弱粗糙的各向异性的多晶体的一般组成的关系被导出。作为我们的一般组成的关系的特殊情况,二种组成的关系为一片各向同性的多晶体和立方的雏晶的一个弱粗糙的各向异性的总数被给。参考书的 acoustoelastic 张肌立方的水晶被导出决定多晶体的材料常数。二个例子为理解质地系数和组成的关系的物理意思被给。 | Mojia Huang Hua Zhan Xiuqiao Lin Hai Tang | 2007 | Acta Mechanica Sinica2007，23，2： | 7 |
| 3 | PREDICTION OF YIELD FUNCTIONS ON BCC POLYCRYSTALS显示文摘由非线性的优化理论,我们在希尔的标准形式预言单个电子消息传输方式晶体的收益功能。然后,我们在 Sach 的模型下面在电子消息传输方式多晶体Ω的宏观的收益功能上给一个公式,在在Ω的所有 BCCcrystallites 的收益功能的体积一般水准作为 BCC 多晶体的宏观的收益功能被拿的地方。Inconstructing 公式,我们试着在宏观的收益功能,取向分发功能(ODF ) ,和单个电子消息传输方式之中发现关系水晶的粘性。为一个单轴的张力的问题的收益压力的一个表达式在泰勒的模型下面被导出以便把表达式与宏观的收益函数的作比较。 | Huang Mojia Fu Mingfu Zheng Chaomei | 2006 | Acta Mechanica Solida Sinica2006，19，1： | 5 |
| 4 | Constitutive Relation of Elastic Polycrystal with Quadratic Texture Dependence显示文摘 | Mojia Huang Chi-Sing Man | 2003 | Journal of Elasticity (-)2003，，1： | 1 |
| 5 | Elastic constants of a polycrystal with an orthorhombic texture显示文摘 | HUANG Mojia | 2004 | Mechanics of Materials2004，36，： | 1 |
| 6 | Constitutive Relation of Elastic Polycrystal with Quadratic Texture Dependence显示文摘 | Mojia Huang Chi-Sing Man | 2003 | Journal of Elasticity (-)2003，，1： | 1 |
| 7 | Constitutive Relation of Elastic Polycrystal with Quadratic Texture Dependence显示文摘 | Huang Mojia Man C -S | 2003 | J Elasticity2003，72，： | 1 |
| 8 | GREEN’S FUNCTION AND EFFECTIVE ELASTIC STIFFNESS TENSOR FOR ARBITRARY AGGREGATES OF CUBIC CRYSTALS显示文摘A closed but approximate formula of Green’s function for an arbitrary aggregate of cubic crystallites is given to derive the e?ective elastic sti?ness tensor of the polycrystal. This formula, which includes three elastic constants of single cubic crystal and ?ve texture coe?cients, accounts for the e?ects of the orientation distribution function (ODF) up to terms linear in the tex- ture coe?cients. Thus it is expected that our formula would be applicable to arbitrary aggregates with weak texture or to materials such as aluminum whose single crystal has weak anisotropy. Three examples are presented to compare predictions from our formula with those from Nishioka and Lothe’s formula and Synge’s contour integral through numerical integration. As an applica- tion of Green’s function, we brie?y describe the procedure of deriving the e?ective elastic sti?ness tensor for an orthorhombic aggregate of cubic crystallites. The comparison of the computational results given by the ?nite element method and our e?ective elastic sti?ness tensor is made by an example. | Huang Mojia Zheng Chaomei | 2004 | Acta Mechanica Solida Sinica2004，17，4： | 0 |
| 9 | Elasticity tensor and ultrasonic velocities for anisotropic cubic polycrystal显示文摘The orientation distribution of crystallites in a polycrystal can be described by the orientation distribution function(ODF) . The ODF can be expanded under the Wigner D-bases. The expanded coefficients in the ODF are called the texture coefficients. In this paper,we use the Clebsch-Gordan expression to derive an explicit expression of the elasticity tensor for an anisotropic cubic polycrystal. The elasticity tensor contains three material constants and nine texture coefficients. In order to measure the nine texture coefficients by ultrasonic wave,we give relations between the nine texture coefficients and ultrasonic propagation velocities. We also give a numerical example to check the relations. | HUANG MoJia CHEN MengCheng ZHENG TengLong HUANG WeiFu | 2008 | Science China(Physics,Mechanics & Astronomy)2008，51，8： | 0 |
| 10 | Direction-dependent functions of physical properties for crystals and polycrystals显示文摘Some physical properties of crystals differ indirection n because crystal lattices are often anisotropic.A polycrystal is an aggregate of numerous tiny crystallites.Unless the polycrystal is an isotropic aggregate of crystallites,the physical properties of the polycrystal vary with n.The direction-dependent functions (DDF) for crystals andpolycrystals are introduced to describe the variations of thephysical properties in direction n. Until now there are fewpapers dealing systematically with relations between theDDF and the crystalline orientation distribution. Herein wegive general expressions of the DDF for crystals and polycrystals.We discuss the applications of the DDF in describingthe physical properties of crystals and polycrystals. | Mojia Huang Mengcheng Chen Tenglong Zheng | 2009 | Acta Mechanica Sinica2009，25，5： | 0 |
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