| 1. | Tensile relaxation modulus
拉伸松弛模数 |
| 2. | That makes the prediction of viscoelastic relaxation moduli easy . the numerical example was presented in the end of this paper
给出的单向纤维复合材料的粘弹性松弛模量预测的数值算例验证了该方法的有效性。 |
| 3. | Numerical example was presented . on base of those , effective relaxation moduli could be curve - fitted by the function form of the three - parameter solid model
在此基础上，用类似粘弹性三元件固体模型的形式去拟合离散的数值结果，得到了松弛模量更简单的解析表达式。 |
| 4. | The viscoelastic relaxation moduli in time domain are obtained by the inverse laplace transform of the curve - fitted formulae . the method takes advantage of rational curve - fitted formulae and avoids complicated numerical inverse laplace transform
该方法利用合理的曲线拟合函数避开了复杂的数值laplace逆变换，使得单向纤维增强复合材料的粘弹性性能的确定变得容易。 |
| 5. | Through the stress relaxation test we can get relaxation modulus under various strain , and it indicate that the relaxation modulus of asphalt concrete specimen will turn minish along with the augment of the strain . which is to say the relaxation will be better if the strain is small
通过松弛试验得到的不同应变条件下的松弛模量曲线表明，所加的应变越大，沥青混凝土试件的松弛模量越小；也就是说，所加应变越小，其松弛性能越好。 |
| 6. | The effective relaxation moduli of composites are dependent on the microstructure and viscoelastic properties of components of composite materials . thus , materials with specific viscoelastic properties can be obtained by designing the microstructure and selecting the components of composite materials
复合材料的宏观粘弹性性能取决于材料的微观结构和组分材料性质，通过调整微观结构和组分材料性质，可以改变材料的宏观粘弹性性能。 |
| 7. | By laplace transforming the governing equation of the problem of unidirectional fiber reinforced composite materials , the formulae for predicting the viscoelastic relaxation moduli in laplace transformed domain are obtained . according to correspondence principle of viscoellastic mechanics and elastic , mechanics , the results of effective moduli for several s are obtained by using the finite element method of the homogenization . then effective relaxation moduli should be curve - fitted , according to the viscoelastic relaxation modulus formulae of many viscoelastic materials
首先对单向纤维增强复合材料粘弹性问题的控制方程进行laplace变换，在像空间s中利用均匀化理论建立宏观松弛模量的laplace变换泛函形式，根据粘弹性-弹性对应原理，用均匀化问题的有限元方法预报单向纤维增强复合材料在相空间中多个离散点的本构关系，然后根据典型粘弹性材料的松弛模量具有的函数形式进行曲线拟合，再通过对拟合出的函数进行laplace逆变换，从而再回到时间t域，就得到了单向纤维增强复合材料的松弛模量。 |
| 8. | And then the brief description of the researches in micro - mechanics is presented . ( see chapter 1 ) 2 . the basic conception of the homogenization theory is given , and then by laplace transforming , the formulae for predicting the viscoelastic relaxation moduli in laplace transformed domain are obtained from the governing equation of the problem of composite materials
(详见第一章) 2 、在简要介绍细观多尺度均匀化方法的基本理论的基础上，通过复合材料粘弹性问题的控制方程的laplace变换，并利用对应原理，在像空间中导出了利用均匀化理论预测宏观松弛模量的laplace变换泛函形式。 |
| 9. | A homogenization - based method for predicting the viscoelastic property of multi - layered composite material is presented . by laplace transforming the governing equation of the viscoellastic problem of jointed rock , the dependent relation of the laplace transformation of the effective relaxation modulus of jointed rock on the joint distribution was derived by applying the homogenization method in laplace transformed domain . then , the effective relaxation modulus was obtained from the inverse transformation
首先对层状复合材料粘弹性问题的控制方程进行laplace变换，在像空间中利用均匀化理论建立宏观松弛模量的laplace变化与各层形式的依赖关系解析表达式，通过laplace逆变换可获得等效松弛模量预测的解析表达式，并给出了体积变形为弹性、剪切变形符合三元件模型的单向节理岩石的粘弹性松弛模量预测的数值算例。 |
| 10. | According to the double - axis experiment and the uniaxial tension experiment , shear relaxation modulus and bulk relaxation modulus are obtained . fractional exponent models [ 23 ] [ 24 ] [ 25 ] are applied to shear relaxation modulus and bulk relaxation modulus . the theory is proved by constant amplitude cyclic strain experiment
通过双轴拉压实验来确定材料的切变松弛模量，单轴拉伸实验来确定材料的体变松弛模量，对这两种模量均采用分数阶指数的形式来进行拟合，再用等应变幅循环历史的实验验证了理论，得到了较好的结果。 |
