Orthotropic Plate Model for Estimating Deflections in Filled Grid Decks

Concrete filled grid bridge decks exhibit orthogonal elastic properties and significant two-way bending action enabling orthotropic plate theory to determine structural response for these elements. Current American Association of State Highway and Transportation Officials load and resistance factor design (LRFD) specifications employ an orthotropic plate model to predict live load moment in concrete filled grid bridge decks but provide no guidance for computing displacement, a potentially important serviceability consideration. This paper presents equations to approximate the maximum deflection in concrete filled grid bridge decks based on orthotropic plate theory, multiple patch loads, LRFD design truck and tandem load cases, the influence of multiple spans, and the two most common deck orientations.     

正交异性矩形薄板的稳定性分析

本文求得了正交异性矩形薄板屈曲位移函数微分方程的一般解。可用以求解任意边界矩形板的稳定问题。以两邻边简支，另两边自由的正方形板为例进行了计算。     

T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms

A new interaction integral formulation is developed for evaluating the elastic T-stress for mixed-mode crack problems with arbitrarily oriented straight or curved cracks in orthotropic nonhomogeneous materials. The development includes both the Lekhnitskii and Stroh formalisms. The former is physical and relatively simple, and the latter is mathematically elegant. The gradation of orthotropic material properties is integrated into the element stiffness matrix using a “generalized isoparametric formulation” and (special) graded elements. The specific types of material gradation considered include exponential and hyperbolic-tangent functions, but micromechanics models can also be considered within the scope of the present formulation. This paper investigates several fracture problems to validate the proposed method and also provides numerical solutions, which can be used as benchmark results (e.g. investigation of fracture specimens). The accuracy of results is verified by comparison with analytical solutions.     

超高性能混凝土(UHPC)在桥面板体系中的应用2020年度研究进展

超高性能混凝土（UHPC）与正交异性钢桥面板的组合是近年来桥梁工程中新材料、新构造研究的典型范例。UHPC桥面板的刚度较大,可以有效减小桥面板中的局部变形,从而明显降低正交异性钢桥面板中的疲劳应力幅,改善其抗疲劳性能。从新构造、剪力连接件性能、组合桥面板基本力学性能、组合桥面板疲劳性能及UHPC材料与构件力学性能等几个方面对UHPC-正交异性钢桥面板组合体系的研究进展进行综述,其内容主要为2020年以来发表的工作,部分兼及更早的研究成果。     

双材料非弹性主方向半无限界面裂纹应力场

利用坐标轴不平行于弹性主方向的应力、应变变换公式,并结合复合材料断裂复变方法,对正交异性双材料非弹性主方向半无限界面裂纹问题进行了研究,得到了用弹性主方向坐标系工程参数表示界面裂纹尖端的应力场、位移场。并给出双材料参数对半无限界面裂纹尖端应力场的影响规律。     

正交各向异性复合材料板Ⅱ型三裂纹尖端应力场分析

研究了正交各向异性复合材料板三裂纹平面问题。通过复合材料断裂中的力学模型,将复合材料平面断裂问题转化为一类偏微分方程的边值问题;引入合适的保角映射,将均匀分布的三裂纹映射为复平面上的平行周期裂纹;通过引入合适的westergaard应力函数,采用复变函数法和待定系数法得到了应力场和位移场的解析表达式。研究结果为结构和材料的强度设计提供了参考。     

Generation of SH-type waves in a poroelastic layer sandwiched between prestressed orthotropic and nonhomogeneous mantles

The present work is concerned with a detailed illustration on the study of horizontally polarized shear waves (SH-type) propagation in a prestressed fluid saturated anisotropic porous layer sandwiched by prestressed orthotropic medium and nonhomogeneous mantles. The frequency equation for the assumed model is derived and their medium characteristics, such as porosity, prestress, anisotropy, and nonhomogeneity, are discussed. Numerical treatment is given to analyze these effects on phase velocities of SH-type waves and is plotted in various graphs. The parametric study divulges that the magnitude of wave velocities increases with the increase of nonhomogeneity parameter and prestress parameter.     

垂直于双材料界面的Ⅰ型裂纹尖端理论研究

对正交各向异性双材料中含有一个与材料界面垂直的裂纹尖端应力场问题进行了理论研究.通过傅里叶积分变换给出了裂纹尖端问题的位移、应力场的形式解.引入辅助函数并利用相应的边界条件,将问题转化为含有Cauchy核的第一类奇异积分方程,并给出了求解的具体方法。     

各向同性与正交异性材料Ⅲ型界面端应力场

研究了各向同性与正交异性双材料Ⅲ型非对称界面端问题。利用复合材料断裂复变方法,根据任意角度的界面连续条件,求解一类调和方程组的边值问题,讨论了非对称情况下含奇异指数的特征方程,得到了Ⅲ型非对称凸角、凹角界面端的应力场、位移场、应力强度因子的表达式,以及斜平面角界面端应力场奇异性的变化规律。     

正交异性板疲劳分析及构造细节改进设想

针对正交异性钢桥面板疲劳开裂的普遍现象,对正交异性钢桥面板疲劳构造细节进行分析,重点讨论了几种典型的疲劳裂纹易发生部位及其失效模式.根据现场实测轴载谱,利用有限元软件对某实桥典型疲劳细节的疲劳寿命进行了计算.分析结果表明:按照国外规范计算,该桥疲劳验算点寿命能够满足要求,但是按照该桥实测轴载进行疲劳验算,纵肋对接焊缝、纵肋与顶板焊缝细节则均不能够满足要求.为提高正交异形板抗疲劳性能,需减少焊缝或提高焊缝抗力,并提出了两种新的构造细节的改进设想.