Complex function and general conformal mapping methods are used to investigate the scattering of elastic shear waves by an elliptical cylindrical cavity in a radially inhomogeneous medium. The conformal mappings are i...Complex function and general conformal mapping methods are used to investigate the scattering of elastic shear waves by an elliptical cylindrical cavity in a radially inhomogeneous medium. The conformal mappings are introduced to solve scattering by an arbitrary cavity for the Helmholtz equation with variable coefficient through the transformed standard Helmholtz equation with a circular cavity. The medium density depends on the distance from the origin with a power-law variation and the shear elastic modulus is constant. The complex-value displacements and stresses of the in.homogeneous medium are explicitly obtained and the distributions of the dynamic stress for the case of an elliptical cavity are discussed. The accuracy of the present approach is verified by comparing the present solution results with the available published data. Numerical results demonstrate that the wave number, inhomogeneous parameters and different values of aspect ratio have significant influence on the dynamic stress concentration factors around the elliptical cavity.展开更多
The theoretical study of dielectric-chiral photonic crystal fiber （PCF） with an elliptical hollow core is presented. The band structure of chiral photonic crystal （PhC） is calculated by using a modified plane-wave...The theoretical study of dielectric-chiral photonic crystal fiber （PCF） with an elliptical hollow core is presented. The band structure of chiral photonic crystal （PhC） is calculated by using a modified plane-wave expansion （PWE） method. By examining the out-of-plane photonic bandgaps （PBGs） of chiral PhC, a kind of chiral PCF with a hollow core is designed and their eigenstates are calculated. The distributions of mode field and polarization state are demonstrated, and how the structural asymmetry of the core together with the chirality in the background affects the modal polarization is discussed. The dependences of birefringence on chirality for different ellipticities of core are investigated.展开更多
当前我国埋地管道的需求与日俱增,针对埋地管道输送介质种类繁多、情况复杂、易受侵蚀的现象,特对可用于管道防腐的中密度刚性喷涂聚脲材料进行了制备和研究,并按照BS EN 15655和BS EN 15189相关测试方法对其耐冲击性能、耐腐蚀性能、...当前我国埋地管道的需求与日俱增,针对埋地管道输送介质种类繁多、情况复杂、易受侵蚀的现象,特对可用于管道防腐的中密度刚性喷涂聚脲材料进行了制备和研究,并按照BS EN 15655和BS EN 15189相关测试方法对其耐冲击性能、耐腐蚀性能、电绝缘性、耐磨性、抗椭圆性、光致老化性能等相关性能进行了测试和表征。试验结果表明:100 cm×5 kg冲击作用下涂层无损坏、无漏点;耐水、酸、碱、盐介质后质量变化率低于2%;0.1 M氯化钠溶液浸泡100天后绝缘电阻≥2.1×10^(11)Ω·m^(2);在DN 200管段水平倾斜测试50 000个周期后,涂膜磨损深度平均值仅为0.071 mm;管段在大气中暴露6个月后,涂层无起泡、裂纹、脱落,附着力高达23.52 MPa。中密度刚性聚脲在埋地管道应用方面表现优异,具有高硬度、高强度、高耐磨、高耐冲,有一定伸长率,与基材有良好的附着力,还有优异的耐化学介质性、耐盐雾性、电绝缘性、抗椭圆性和抗光致老化性。展开更多
基金National Science&Technology Pillar Program under Grant No.2015BAK17B06Natural Science Foundation of Heilongjiang Province,China under Grant No.A201310+1 种基金Scientific Research Starting Foundation for Post Doctorate of Heilongjiang Province,China under Grant No.LBH-Q13040the Fundamental Research Funds for the Central Universities of China under Grant No.HEUCF150203
文摘Complex function and general conformal mapping methods are used to investigate the scattering of elastic shear waves by an elliptical cylindrical cavity in a radially inhomogeneous medium. The conformal mappings are introduced to solve scattering by an arbitrary cavity for the Helmholtz equation with variable coefficient through the transformed standard Helmholtz equation with a circular cavity. The medium density depends on the distance from the origin with a power-law variation and the shear elastic modulus is constant. The complex-value displacements and stresses of the in.homogeneous medium are explicitly obtained and the distributions of the dynamic stress for the case of an elliptical cavity are discussed. The accuracy of the present approach is verified by comparing the present solution results with the available published data. Numerical results demonstrate that the wave number, inhomogeneous parameters and different values of aspect ratio have significant influence on the dynamic stress concentration factors around the elliptical cavity.
基金Project supported by the National Natural Science Foundation of China(Grant No.60977032)
文摘The theoretical study of dielectric-chiral photonic crystal fiber （PCF） with an elliptical hollow core is presented. The band structure of chiral photonic crystal （PhC） is calculated by using a modified plane-wave expansion （PWE） method. By examining the out-of-plane photonic bandgaps （PBGs） of chiral PhC, a kind of chiral PCF with a hollow core is designed and their eigenstates are calculated. The distributions of mode field and polarization state are demonstrated, and how the structural asymmetry of the core together with the chirality in the background affects the modal polarization is discussed. The dependences of birefringence on chirality for different ellipticities of core are investigated.
