一种疲劳缺口系数计算新方法

针对Mod.9Cr-1Mo铁素体钢锐缺口件进行了一系列非比例载荷低周疲劳试验,采用直流电位差法测量裂纹萌生寿命,比较了非比例路径对疲劳裂纹萌生寿命的影响。结果表明:缺口件裂纹萌生寿命占总寿命的比例与非比例路径直接相关;随着非比例度增加,裂纹萌生寿命所占比例增加。采用Neuber律和Peterson模型进行缺口局部应力应变损伤的计算,结合Smith-WatsonTopper(SWT)模型进行疲劳寿命预测。采用Neuber律并结合SWT模型预测的结果与实际结果相比普遍偏低,采用Peterson模型预测的结果与实际结果相比偏高,与本文结果相比预测结果较高。基于应变路径非比例度的概念,针对Peterson模型进行修正,提出了一种新的疲劳缺口系数计算方法,结合SWT模型进行了疲劳寿命预测。结果表明,该方法改善了非比例路径下的疲劳寿命预测结果,大部分预测结果位于2倍分散带内。     

The Small Deborah Number Limit of the Doi‐Onsager Equation to the Ericksen‐Leslie Equation

We present a rigorous derivation of the Ericksen‐Leslie equation starting from the Doi‐Onsager equation by the Hilbert expansion method. The existence of the Hilbert expansion is related to an open question of whether the energy of the Ericksen‐Leslie equation is dissipated. On this point, we show that the energy is dissipated for the Ericksen‐Leslie equation derived from the Doi‐Onsager equation. The most difficult step is to prove a uniform bound for the remainder of the Hilbert expansion. This step is connected to the spectral stability of the linearized Doi‐Onsager operator around a critical point and the lower bound estimate for a bilinear form associated with the linearized operator. By introducing two important auxiliary operators, we can obtain the detailed spectral information for the linearized operator around all the critical points. We establish a precise lower bound of the bilinear form by introducing a five‐dimensional space called the Maier‐Saupe space.© 2015 Wiley Periodicals, Inc.     

超声平面波同相正交信号频域波束形成算法

针对频域平面波波束形成算法尚不能直接应用于采用正交解调的超声成像系统中的实际问题,提出一种平面波同相正交信号频域波束形成方法。以平面波射频信号频域波束形成算法为基础,根据射频信号与同相正交信号波数空间变量之间的关系,推导了平面波同相正交信号与对应图像的频谱映射表达式,从而实现对正交解调后信号的频域超声图像重建。采用2016年Plane Wave Imaging Challenge in Medical Ultrasound (PICMUS)发布的仿真、仿体及在体原始回波数据对这一方法进行验证,并评估图像的分辨率和对比噪声比。仿真和仿体实验结果表明,相对于射频信号的频域波束形成算法,该算法可获得与之相同的图像质量,并将成像速度提高了约4倍。在体实验数据的成像结果也验证了该算法在实际应用中的有效性。     

中频声振耦合的波函数统计能量法

为了提高中频声振耦合的计算效率,提出了波函数-统计能量法的结构-声学耦合方法,该方法从波动理论的角度出发,将波函数法(WBM)和统计能量法(SEA)结合,通过在耦合面分别施加声压激励和速度边界条件,推导了耦合面参数理论计算公式。将该方法用到长方体声腔和钢板耦合的模型中,并对100~1000 Hz的计算结果进行了实验验证。WBM-SEA模型与参考FEM-SEA模型以及实验模型的频响曲线对比结果表明,WBM-SEA与FEM-SEA以及实验结果吻合很好,验证了混合WBM-SEA的有效性。通过收敛性分析发现混合WBM-SEA方法计算时间比混合FEM-SEA方法更少。从而可以得出结论:混合波函数-统计能量法方法对中频声振耦合预测是有效的,且比FEM-SEA更加高效。     

A Beale–Kato–Majda blow-up criterion for the 3-D compressible Navier–Stokes equations

We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier–Stokes equations. The initial vacuum is allowed. The main ingredient of the proof is a priori estimate for an important quantity under the assumption that the density is upper bounded, whose divergence can be viewed as the effective viscous flux.