Critical ruptures

The fracture of materials is a catastrophic phenomenon of considerable technological and scientific importance. Here, we analysed experiments designed for industrial applications in order to test the concept that, in heterogeneous materials such as fiber composites, rocks, concrete under compression and materials with large distributed residual stresses, rupture is a genuine critical point, i.e., the culmination of a self-organization of damage and cracking characterized by power law signatures. Specifically, we analyse the acoustic emissions recorded during the pressurisation of spherical tanks of kevlar or carbon fibers pre-impregnated in a resin matrix wrapped up around a thin metallic liner (steel or titanium) fabricated and instrumented by Aérospatiale-Matra Inc. These experiments are performed as part of a routine industrial procedure which tests the quality of the tanks prior to shipment. We find that the seven acoustic emission recordings of seven pressure tanks which was brought to rupture exhibit clear acceleration in agreement with a power law “divergence” expected from the critical point theory. In addition, we find strong evidence of log-periodic corrections that quantify the intermittent succession of accelerating bursts and quiescent phases of the acoustic emissions on the approach to rupture. An improved model accounting for the cross-over from the non-critical to the critical region close to the rupture point exhibits interesting predictive potential. Received 6 July 2000     

A weighted penalty finite element method for the analysis of power-law fluid flow problems

In this paper, a new finite element method for the flow analysis of the viscous incompressible power-law fluid is proposed by the use of penalty-hybrid/mixed finite element formulation and by the introduction of an alternative perturbation, which is weighted by viscosity, of the continuity equation. A numerical example is presented to exhibit the efficiency of the method.The Project Supported by the National Natural Science Foundation of China.     

电致失效力学

电致失效力学研究单调或交变电场载荷下由应力引起的失效行为,它包含了电致断裂、电致疲劳、电致迁移与电致损伤等新研究课题．本文概述了电致失效力学的领域与课题,并深入讨论了电致应变诱导断裂疲劳的机理及电迁移损伤的力电耦合过程．研究结果表明,电致失效力学可提供铁电陶瓷致动器和集成电路的若干关键设计参数．对铁电陶瓷多层共烧致动器,该分析提供其层厚、外加电场强度和交变电场循环周数．对集成电路内导线,该分析提供其允许电流密度和临界线长．      

欧洲近海结构用钢研究计划的进展

欧洲近海结构用钢研究计划在第一阶段(1975—80年)关于海洋焊接结构在疲劳载荷下工作性能的研究基础上,于1981—87年继续进行了第二阶段的研究工作。参加国家有欧洲经济共同体6国及挪威、加拿大等。本文综合报道第二阶段研究情况与主要成果,内容包括:板厚对疲劳强度的影响,焊后改进技术与腐蚀疲劳,疲劳载荷及变幅疲劳试验,疲劳分析的断裂力学方法,某些管节点的应力分析等;并对研究计划的背景及今后研究工作的方向作了介绍。      

PBGA焊点热疲劳寿命的正交试验及回归分析

通过对ＰＢＧＡ焊点形态参数与焊点热疲劳寿命的正交试验,利用大型统计分析软件进行多元线性回归分析,建立起ＰＢＧＡ焊点高度固定,芯片在上焊点高度不固定及芯片在下焊 度不固定三种不同工作条件下形态参数与热疲劳寿命之间的回归多项表式,即ＰＢＧＡ焊点形参数与热疲劳寿命的关系表达式。     

激光冲击处理工艺因素对铝合金疲劳寿命影响的研究

约束层和激光脉冲功能和密度是影响激光冲击处理强化效果的重要工艺因素,本文研究了不同的约束层和激光脉冲功率密度对铝合金疲劳寿命的影响。疲劳试验结果表明,约束层冲击阻抗越大,激光脉冲功率密度越高,铝合金激光冲击处理后疲劳寿命的提高越显著。     

Effect of thermal cycles on the mechanical strength of quad flat pack leads/Sn-3.5Ag-X (X=Bi and Cu) solder joints

Quad Flat Pack (QFP) Leads/Sn-3.5Ag-X (X=Bi and Cu) joint was thermally cycled between 243 K and 403 K or 273 K and 373 K, and both metallographic examination and mechanical pull test were performed to evaluate thermal fatigue damage of the joint. The addition of bismuth drastically degrades the thermal fatigue resistance of Sn-3.5Ag solder. On the other hand, the pull strength of Sn-3.5Ag-Cu solder joints slightly decreased with increasing number of thermal cycles, though it still remains higher in comparison to that for conventional Sn-37Pb or bismuth containing solder joint. The behavior observed here reflects the isothermal fatigue properties of bulk solder, because thermal fatigue crack initiates at the surface of solder fillet and propagates within the fillet in an early stage of fatigue damage. Furthermore, the lead phases lying at the interface between lead-frame and bismuth containing solder joint may promote the crack propagation at the interface, resulting in the extremely low thermal fatigue resistance of the joint.     

A dynamic model for solder and the problem of accelerated life testing

Solder joint reliability under thermal cycling is a key problem in electronic packaging. Accelerated life testing (few cycles, larger temperature excursions) is often a practical necessity in predicting fatigue life in field environments (many cycles, smaller temperature excursions). Complex solder behavior with marked temperature dwell and cycle time influence at slower frequencies makes this a difficult problem. A dynamic model is presented which couples the effect of instability of coarsened grain shear band evolution in microstructure with the change in macroscopic constitutive behavior. Key features of the model include effects of shear band thickness compared with total solder joint thickness, pertinent to small scale design, and frictional resistance at slow deformation rates. Model correlation with test data is discussed and applied to the accelerated life test design.     

Residual strength of GFRP at high-cycle fatigue

Degradation of the residual strength of a glass-fiber-reinforced polyester composite of a lay-up typical of the wind rotor blade material is studied at low-cycle fatigue. A gradual reduction of the residual strength is observed as expected for GRP, accompanied by an increasing scatter of strength. The residual strength model based on the strength-life equal rank assumption yields an accurate approximation of experimental data. The strength reduction at a stress level corresponding to high-cycle fatigue (N>10 ⁶ cycles) appears to correlate well with the test results at higher stress levels, which indicates that the strength degradation at the design stress level can be evaluated using low-cycle tests. Assuming that the parameters of the strength degradation model do not depend on the applied stress level, the residual strength data obtained in low stress level tests of comparatively short duration can be used to estimate the average fatigue life at the same stress thus reducing the total test time. Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 5, pp. 595–604, September–October, 1999.     

二级加载下疲劳可靠性分析

基于二维概率Miner准则,建立了在二级变幅加载下进行疲劳可靠性分析的系统方法并采用八组较大子样的二级低高和高低加载下的试验数据进行了验证、结果表明;本文方法初步实现了对第一级加载后的剩余疲劳寿命和二级加载下的疲劳总寿命进行较为准确的可靠性预测,预测值与试验值吻合良好