Time-harmonic P-waves engulfing a rectangular limited-permeable crack in piezoelectric medium: Energy density and energy release

The dynamic behavior of a limited-permeable rectangular crack in a transversely isotropic piezoelectric material is impinged by to a P-wave. The generalized Almansi theorem and the Schmidt method are used to determine the stress intensity factor and energy density factor as the primary fracture criterion of failure. The mixed boundary value problem entails the evaluation of the appropriate crack edge stress singularities that are characteristics of the fundamental functions. The stress and electric displacement intensity factors are also used to find the energy release rate that can be computed numerically and compared with the results corresponding to those of the stress intensity factor, and energy density factor. Graphical presentation shows that the energy release rate is always negative for the boundary conditions considered while the energy density factors always remain positive. Under certain conditions, the stress and electric displacement intensity factors can be negative and subject to physical limitations. Piezoelectric material boundary value problem solutions should therefore be qualified by the application of failure criteria by fracture of otherwise, particularly when the mechanical and electrical energy can release by creating free surface at the macroscopic and microscopic scales. Negative energy release rate found for the piezoelectric medium in this work can be a case in point.Positive definiteness of the energy density factor can be applied to mutliscale fracture. This is not true for the stress intensity factor nor the energy release rate. Hence, crack initiation behavior for the permittivity of a rectangular crack due to the wave propagation effects may be studied. In particular, the initiation of micro-cracks may be identified with certain critical stress wave frequency band. Negative stress intensity factor may not enhance macrocracking but it does not exclude microcrack initiation.     

A633D斗杆的疲劳裂纹形成寿命

分析了A633D钢焊接接头在循环哉荷下的疲劳特性,进行了疲劳特性和静态拉伸实验,得到了该材料的静力参数,常规机械性能,焊接接头的循环σ-ε曲线以及焊接接头的应变寿命曲线,将局部应力－应变法用于该材料的10m3斗杆的裂纹形成寿命的估算,采用Miner法则结合概率的方法计算了不同可靠度下的疲劳寿命,其间考虑了焊接残余应力的影响,得出了焊接残余应力的存在使斗杆的裂纹形成寿命降低约10％。     

INTERACTION OF ELECTRIC CHARGES IN A PIEZOELECTRIC WITH RIGID EXTERNAL CRACKS

IntroductionRecently much attention has been paid to Green’s functions[1 -7]for anisotropic mediabecause of their important applications in boundary element methods used widely inengineering analysis. Generally speaking, it is relatively easy to obtain G…     

ANALYSIS ON ACOUSTICAL SCATTERING BY A CRACKED ELASTIC STRUCTURE

The acoustical scattering by a cracked elastic structure is studied. The mixed method of boundary element and fractal finite element is adopted to solve the cracked structure-acoustic coupling problem. The fractal two-level finite element method is employed for the cracked structure, which can reduce the degree of freedoms (DOFs) greatly, and the boundary element method is used for the exterior acoustic field which can automatically satisfy Sommerfeld‘s radiation condition. Numerical examples show that the resonance frequency is lower with the crack‘s depth increase, and that the effect on the acoustical field by the crack is particularly pronounced in the vicinity of the crack tip. This mixed method of boundary element and finite element is effective in solving the scattering problem by a cracked structure.     

热机载荷作用下三维界面裂纹问题的权函数法分析

热机载荷共同作用下双材料和复合材料中的裂纹扩展往往发生在界面处,并且工程中实际遇到的裂纹大多数是三维裂纹.由于通用权函数仅仅与裂纹体的几何形状有关,与载荷、时间无关,因此在求解复杂冲击载荷下界面裂纹应力强度因子随时间的变化过程时,避免了反复的应力分析,计算效率得到提高.根据Betti互易原理,论文推导出三维界面裂纹问题通用权函数法的普遍表达式,并给出了热机载荷共同作用下三维界面Ⅰ型、Ⅱ型和Ⅲ型裂纹问题通用权函数法的有限元格式.通过与实例计算比较,表明此方法得到的结果可以达到满意的工程应用精度.     

Ⅱ-Ⅲ混合型裂纹相变增韧分析

本文采用压力敏感准则和松函数法对相变增韧陶瓷Ⅱ-Ⅲ混合型裂纹的增韧效应进行了理论预测。分别给出了静止裂纹和定常扩展裂纹相变塑性屏蔽的理论表达式。结果表明：相变对静止裂纹有甚微的负屏蔽效应，并随KⅢ/KⅡ的比值而波动；相变对定常扩展裂纹的增韧结果除与材料弹性模量、相变尾区高度和相变体积分数有关外，还与KⅢ/KⅡ的比值有关。     

In-Situ Intrinsic Interface Strength Measurement at Elevated Temperatures and its Relationship to Interfacial Structure

A previously developed laser spallation technique has been modified to measure the tensile strength of thin film interfaces in-situ at temperatures up to 1100°C. Tensile strengths of Nb/A-plane sapphire, FeCrAl/A-plane sapphire and FeCrAlY/A-plane sapphire were measured up to 950°C. The measured strengths at high temperatures were substantially lower compared with their corresponding strengths at ambient temperature. For example, at 850°C, the interface tensile strength for the Nb/sapphire (151 ± 17 MPa), FeCrAl/sapphire (62 ± 8 MPa) and FeCrAlY/sapphire (82 ± 11 MPa) interface systems were lower by factors of approximately, 3, 5, and 8, respectively, over their corresponding ambient values. These results underscore the importance of using such in-situ measured values under operating conditions as the failure criterion in any life prediction or reliability models of such coated systems where local interface temperature excursions are expected. The results on alloy film interfaces also demonstrate that the presence of Y increases the strength of FeCrAl/Al₂O₃ interfaces.     

THE THREE-DIMENSIONAL STRESS INTENSITY FACTOR UNDER MOVING LOADS ON THE CRACK FACES

The dynamic stress intensity factor history for a half plane crack in anotherwise unbounded elastic body,with the crack faces subjected to a tractiondistribution consisting of two pairs of combined mode point loads that move in adirection perpendicular to the crack edge is considered.The analytic expression for thecombined mode stress intensity factors as a function of time for any point along thecrack edge is obtained.The method of solution is based on the application of integraltransform together with the Wiener-Hopf technique and the Cagniard-de Hoop method.Some features of the solution are discussed and graphical results for various point loadspeeds are presented.     

制动器管裂纹原因分析

重型汽车制动器管在潮湿的环境中使用时发生破裂,采用化学成分分析、力学性能试验、断口分析和金相分析等方法对破裂的制动器管进行分析.结果表明,制动器管的裂纹主要产生于存在加工应力的弯曲部位,应力腐蚀是造成其破裂的主要原因.同时在选材方面提出建议.     

基于有限元法确立碳化钨顶锤的破裂判据

以有限元法为理论基础,通过运行大型有限元软件,成功构建了铰链式六面顶压机配套顶锤的有限元理论模型,并确立了碳化钨顶锤的破裂判据。模拟结果表明:以小斜边末尾处为应力参考点,依据第四强度理论,能够对碳化钨顶锤的性能进行更加合理的数值分析。依据此判据可知:在顶锤锤面及小斜边附近,裂纹高发区分布在小斜边附近;在顶锤轴向上,裂纹高发区分布在距离顶锤锤面30 mm处。铰链式六面顶压机配套碳化钨顶锤的有限元模型以及碳化钨顶锤破裂判据的成功构建,为实现新型碳化钨顶锤的设计与研究奠定了基础,对促进实现铰链式六面顶压机腔体大型化具有现实意义。