A Review of Dynamic Fracture Studies in Functionally Graded Materials

Abstract:  This article presents a review of dynamic fracture studies on functionally graded materials. A brief literature review on the fracture mechanics of graded materials is presented first. This is followed by a discussion on the higher-order asymptotic analysis of the transient elastic field surrounding the tip of a dynamically growing crack in a functionally graded material. A comprehensive experimental study of dynamic crack growth in model functionally graded material using the optical method of reflection photoelasticity and high-speed photography is then presented. The results are analysed to establish a generalised relationship between the crack velocity and the dynamic mode-I stress intensity factor (SIF). This relationship is found to be unique and is distinctly different from that previously established for the matrix material (polyester). Finally, an innovative experimental procedure is used to demonstrate the necessity of employing a fully transient stress-field representation in the analysis of optical data for an accurate prediction of the dynamic SIF history.     

压裂斜井时射孔处雁形裂缝产生及干扰分析

在已射孔的斜井压裂过程中，射孔孔眼处会出现一系列的几乎相互平行的雁形裂缝。这些裂缝的延伸、连接受到地层应力及裂缝本身的影响，情况较为复杂，但它们的延伸和连接对压裂的成功与否至关重要。笔者对裂缝模型进行简化，将复变函数理论与位错理论相结合，并且考虑了裂缝表面有流体压力作用且裂缝之间存在相互干扰的情况下，建立了无限大介质中裂尖应力强度因子的数学模型，利用该模型可对雁型裂缝之间的相互干扰进行力学分析。应用数值方法对所建立的数学模型求解，得到裂尖的应力强度因子及转角，来预测裂缝连接情况。该结果可用来指导压裂井的射孔施工。     

Reticulated Porous Multiphase Ceramics with Improved Compressive Strength and Fracture Toughness

A multiphase reticulated porous ceramic (RPC) as Si₃N₄–Al₂O₃–SiO₂ was fabricated by replication techniques. Proper volumes of additives and twice sinter- twice immerse process endow the RPC an excellent crack healing and submerging property. The compressive strength and fracture toughness improved owing to the crack bridging behavior. The existence of pores in struts in RPC blunt the crack tip and increased the external force needed to propagate the crack. The mechanisms play a beneficial role in enhancing the compressive strength and fracture strength. Si₃N₄ RPC with additives of 5%Al and 5% Al₂O₃ yielded the compressive strength of 9.8 MPa and fracture toughness of 0.3 MPa m^1/2.     

利用单片机实现的空气干燥器控制仪

为了满足不同生产实际的需要 ,介绍了利用单片机实现的空气干燥器控制仪的基本组成和工作原理 ,重点介绍了温度测量和A/D转换方法 ,进一步指出了提高测量准确度的途径。经实际应用表明 ,各项指标满足控制要求。     

高强铝合金断裂韧性的研究现状及展望

通过对三种裂纹模式的概述，引出了铝合金断裂韧性的概念及断裂判据，重点评述了影响高强铝合金断裂韧性的内在与外在因素，以及断裂韧性与其它力学性能间的关系，最后提出了几个在今后的研究及应用中需要重点解决的问题。     

聚丙烯催化剂的研发进展

综述了用于丙烯聚合的Ziegler-Natta催化剂在给电子体技术及催化剂制备工艺等方面,茂金属催化剂在制备丙烯均聚物、丙烯共聚物及特殊聚丙烯等方面,非茂单活性中心催化剂在丙烯活性聚合、丙烯与极性单体共聚及水介质聚合等方面的研发进展;讨论了聚丙烯催化剂的前景。     

负载化非茂单活性中心催化剂乙烯聚合的研究

在硅胶上负载了双(N-环己基-3-叔丁基水杨醛亚胺基)二氯化锆配合物,得到负载化非茂单活性中心催化剂。该催化剂用于乙烯聚合,考察了配合物用量、共聚单体1-己烯用量、聚合温度、聚合压力、聚合时间、三乙基铝用量对乙烯聚合性能的影响及对聚合物的相对分子质量、相对分子质量分布、熔体流动指数和密度的影响。实验结果表明,负载化非茂单活性中心催化剂保持了原均相催化剂的乙烯聚合性能;该催化剂在淤浆聚合工艺中聚合平稳,所得聚合物的颗粒形态良好。     

两相电流互感器配电网零序电流构造方法

中性点非直接接地配电网大多只安装A，C两相电流互感器（TA），而现有单相接地故障选线方法基本都以零序电流为基础实现。如何在两相TA配电网中准确检测并隔离接地故障线路，成为长期困扰实际运行的技术难题。通过对暂态电流的频域和时域分析，找出B相暂态电流与A，C相暂态电流的对应关系，提出在A相和C相接地时由A相和C相暂态电流构造B相暂态电流，进而得到较精确零序电流的方法。通过大量仿真实验验证了所提出的构造方法的正确性。零序电流的成功构造为实现两相TA配电网单相接地故障选线提供了基础。     

A Stronger Complexity Result for the Single Machine Multi-Operation Jobs Scheduling Problem to Minimize the Number of Tardy Jobs

We consider the single machine multi-operation jobs scheduling problem to minimize the number of tardy jobs. Each job consists of several operations that belong to different families. In a schedule, each family of job operations may be processed in batches with each batch incurring a setup time. A job completes when all of its operations have been processed. The objective is to minimize the number of tardy jobs. In the literature, this problem has been proved to be strongly NP-hard for arbitrary due-dates. We show in this paper that the problem remains strongly NP-hard even when the due-dates are common and all jobs have the same processing time.