| 1. | In heterogeneous anisotropic materials the heat flow vector and conductivity are more complex .
在各向异性的非均质材料中，热流向量和热导率很复杂。 |
| 2. | Concrete is a heterogeneous material that is widely used in many engineering including structural engineering
混凝土是一种复杂的多相非均质材料。 |
| 3. | Under the same measuring conditions , the power outputs of graded materials are higher than monolithic materials
相同的条件下，结构梯度热电材料的功率输出相对于均质材料cosb3都有较大程度的提高 |
| 4. | Homogeneous material ? a “ homogeneous material ” is defined as a material comprised entirely of uniformly dispersed constituents throughout that can be added to a product in the current or previous processing steps
均质材料?是指全部由均一的分散组份构成的材料，并且可以在当前或之前的工序中加入到产品中去。 |
| 5. | Based on the basic equations of the elasticity plane problem , displacement fields and singular stress fields near the v - notch tip under mixed - mode of i and ii are obtained for homogeneous materials by a new definition of the stress intensity factors
基于弹性力学平面问题的基本方程，通过重新定义应力强度因子，推导了均质材料-复合型v型切口尖端附近的位移场和奇异应力场。 |
| 6. | Based on the basic equations of the elasticity plane problem and the two airy stress functions in the thesis , stress singularity eigenequations and displacement fields as well as singular stress fields near the v - notch tip and the crack tip for homogeneous materials are obtained
本文基于弹性力学平面问题的基本方程，引入两个airy应力函数，推导了均质材料型切口尖端和裂纹尖端的应力奇异性特征方程及其附近的奇异应力场和位移场。 |
| 7. | The dynamic behavior of an interface crack between two dissimilar half - planes of functionally graded materials ( fgms ) and homogeneous materials subjected to harmonic dynamic loading is investigated by means of the schmidt method under an assumption - the effect of the crack surface overlapping very near the crack tips is negligible
摘要在忽略界面裂尖端裂纹面相互叠入的条件下，对功能梯度材料与均质材料交界面上-型裂纹对简谐动载响应问题进行了分析。 |
| 8. | Three types of beam element ( reinforcing beam element , matrix beam element and interface beam element ) and two kinds of particle ( reinforcing particle element and matrix particle element ) are used to simulate the mechanical properties of concrete , which randomly allocated according to weibull distribution to reflect the initial heterogeneity of concrete at the meso - scale level
用两种颗粒单元(分散颗粒单元和基体颗粒单元)和三种梁单元(分散梁单元、基体梁单元及界面梁单元)来模拟混凝土的力学性质。在数值模拟时，通过对不同单元赋以满足weibull分布的力学参数即可在数值上对混凝土这一典型非均质材料进行表征。 |
| 9. | The classic macroscopic mechanical models , which characterize the concrete as a continuum at macroscopic level and consider the test results of laboratory scale specimen as the mechanical properties of the material , could analyze the mechanical response of structures with greater size . in reality , the test results of laboratory that are generally called physical and mechanical parameters of material are average responses of a heterogeneous specimen with a certain size
有关混凝土力学特性的力学模型都是基于混凝土材料的宏观层次研究其力学特性，其主要特点是把材料理想化为均质材料进行研究，把实验室尺度下力学试验的结果作为材料的力学参数，以此为基础进行更大尺度宏观结构的力学响应分析。 |
| 10. | Finally , in to order to verify the validity of optimal design the open voltages and power outputs of graded bi2te3 / cosb3 thermoelectric materials in the temperature difference ranging from 300k to 800k were investigated . the research results show that : as for monolithic materials , bi2te3 alloys process higher figure - of - merit in the temperature ranging from room temperature to 450k , then it begins to worsen with temperature increasing
通过对结构梯度bizte3 / cosb3热电材料开路电压与热端温度的关系及梯度热电材料在300k至800k的温度范围使用时的功率输出研究结果表明:在均质材料cosb3和bizte3的长度比为巧: 2时，梯度结构bizte3 / c 。 |
