Perturbation Formulas for Polarization Ratio and Phase Shift of Rayleigh Waves in Prestressed Anisotropic Media

This paper completes an earlier study (Tanuma and Man, Journal of Elasticity, 85, 21–37, 2006) where we derive a first-order perturbation formula for the phase velocity of Rayleigh waves that propagate along the free surface of a macroscopically homogeneous, anisotropic, prestressed half-space. We adopt the formulation of linear elasticity with initial stress and assume that the deviation of the prestressed anisotropic medium from a suitably-chosen, comparative, unstressed and isotropic state be small. No assumption, however, is made on the material anisotropy of the incremental elasticity tensor. With the help of the Stroh formalism, here we derive first-order perturbation formulas for the changes in polarization ratio and phase shift of Rayleigh waves from their respective comparative isotropic value. Examples are given, which show that the perturbation formulas for phase velocity and polarization ratio can serve as a starting point for investigations on the possible advantages of using Rayleigh-wave polarization, as compared with using wave speed, for acoustoelastic measurement of stress.      

Monitoring near-surface depth profile of residual stress in weakly anisotropic media by Rayleigh-wave dispersion

Herein we study the inverse problem on inferring depth profile of near-surface residual stress in a weakly anisotropic medium by boundary measurement of Rayleigh-wave dispersion if all other relevant material parameters of the elastic medium are known. Our solution of this inverse problem is based on a recently developed algorithm by which each term of a high-frequency asymptotic formula for dispersion relations can be computed for Rayleigh waves that propagate in various directions along the free surface of a vertically-inhomogeneous, prestressed, and weakly anisotropic half-space. As a prime example of possible applications we focus on a thick-plate sample of AA 7075-T651 aluminum alloy, which has one face treated by low plasticity burnishing (LPB) that induced a depth-dependent prestress at and immediately beneath the treated surface. We model the sample as a prestressed, weakly-textured orthorhombic aggregate of cubic crystallites and assume that by nondestructive and/or destructive measurements we have ascertained everything about the sample, including the LPB-induced prestress, before it is put into service. Under the supposition that the prestress be partially relaxed but other material parameters remain unchanged after the sample undergoes a period of service, we examine the possibility of inferring the depth profile of the partially relaxed stress by boundary measurement of Rayleigh-wave dispersion.     

用磁性探头检测承受偏心载荷的开口钢环的应力分布

用磁性探头测量了45~#钢制开口环在承受偏心载荷作用下的应力分布,与有机玻璃试样的光弹检测结果基本一致.本工作将探测到的感生电压积分,直接获得磁感强度峰值与待测应力的函数关系.实验证实,在较宽的应力范围内,二者有较好的线性关系,易于作应力标定。     

散斑图像相关数字技术在薄壁钢管混凝土长柱变形测量中的应用

薄壁钢管混凝土构件作为新发展的组合构件,对其研究具有非常重要的意义。文中首先介绍了散斑图像相关数字技术的基本原理,然后给出了变形计算公式。为弥补传统测量方法的不足,在薄壁钢管混凝土长柱偏压破坏实验中,引入了散斑图像相关数字技术,对长柱跨中截面的全过程变形(位移)进行了测量,并对测量结果进行了分析与讨论,同时还与传统测量方法所得结果进行了对比分析。实验结果与分析表明:该方法具有较高的精度和工程可用性,可克服传统测量方法中的一些弊端,且对实验设备和测量环境要求不高,很适合现场非接触测量。     

大瓣片高强钢球壳板冲压成形应力测试与分析

为对大瓣片高强钢球罐壳板成形过程进行应力测试与分析,在分析壳板成形工艺特点和力学特征的基础上,提出了在板材上附加随动测试架的测试方法,该测试架可随板材运动,实现对传感元件的保护,保证测试信号的输出,同时不干扰壳板的工艺条件,实现了准确测定冲压加工过程中特定状态下板壳内的应力分布及变化规律的目的。测试表明,压力加工过程中,当模具完全冲压到位时,在模具中心区域出现最大拉伸应变,应力值也最大,而卸载后该区反而出现了很小的压应力,这对容器的安全是有利的。因此在压制过程中只要控制冲压变形量,使得中间部位应力值小于材料的强度极限,就可保证板材不发生工艺性破裂,而且成形完成后该区也无不利的力学因素。     

AFM针尖压入测量中的非线性效应

根据AFM(Atomic-Force Microscope 原子力显微镜)实验得到的典型压入曲线给出了一种标定电压-挠度转化系数的方法.对压入曲线进行常规的数据处理,结果显示在起始段和末段各有5nm左右的名义压入深度.然而,有限元计算结果表明上述名义压入深度并非真正的针尖压入样品的深度.通过悬臂梁响应、光线传播、四象限接收器等几个方面的非线性效应分析,得到了实验中各部分非线性效应对实验结果的影响方式和误差范围,从而发现压入实验中四象限接收器上光斑相对移动引起的非线性效应是造成错误判读压入深度的重要原因.最后,对如何减小测量误差和如何在一定误差范围内得到可靠的实验结果给出了一些建议.     

采用磁致伸缩逆效应原理测定Hopkinson杆的应力变化率

利用Villari效应,以非接触方式测得不同撞击速度下Hopkinson杆的应力变化率波形,并介绍了传感器的标定方法。