Dispersion of Rayleigh waves in weakly anisotropic media with vertically-inhomogeneous initial stress

Tanuma, Kazumi; Man, Chi‐Sing; Chen, Yue

doi:10.1016/j.ijengsci.2015.03.001

Cited by 20 publications

(35 citation statements)

References 22 publications

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“…Moreover, the following linearization assumption (*) was made: at the free surface x 3 = 0 of the material medium the perturbative part A(0) and the initial stress T • (0) are sufficiently small as compared with C Iso that for all expressions and formulas which depend on A(0) and T • (0) it suffices to keep only those terms linear in the components of these tensors. Under this setting, specific formulas are derived [32] with which the procedure presented in [20] can be implemented to compute iteratively each term of a high-frequency asymptotic formula for dispersion relations that pertain to Rayleigh waves with various propagation directions. Thus for Rayleigh waves of sufficiently high frequencies, dispersion curves can be generated by the method developed in [32] when requisite data on material and stress are given.…”

Section: Introductionmentioning

confidence: 99%

“…Under this setting, specific formulas are derived [32] with which the procedure presented in [20] can be implemented to compute iteratively each term of a high-frequency asymptotic formula for dispersion relations that pertain to Rayleigh waves with various propagation directions. Thus for Rayleigh waves of sufficiently high frequencies, dispersion curves can be generated by the method developed in [32] when requisite data on material and stress are given. Once we have that capability, the inverse problem of inferring stress retention from Rayleigh-wave dispersion can be solved by an iterative approach.…”

Section: Introductionmentioning

confidence: 99%

“…The theory developed in [32] is meant for applications that include as typical example ultrasonic measurement of stress in metal structural parts, where the perturbative part A in the splitting L = C Iso + A of the incremental elasticity tensor is originated from the presence of crystallographic texture and of the prestress T • . Moreover, the shifts in phase velocities of elastic waves caused by texture and initial stress (with the latter bounded by the yield surface) are typically within 2% of their values for the corresponding isotropic medium with L = C Iso , which suggests that linearization assumption (*) would be adequate.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the shifts in phase velocities of elastic waves caused by texture and initial stress (with the latter bounded by the yield surface) are typically within 2% of their values for the corresponding isotropic medium with L = C Iso , which suggests that linearization assumption (*) would be adequate. On the other hand, the theory developed in [32] does not take into consideration the effects of surface roughness on Rayleigh-wave dispersion. Several empirical studies (see e.g., [12,28]) have shown that if Rayleigh-wave dispersion is used for measurement of stress induced by shot-peening or laser-shock peening, the effect of surface roughness on the dispersion curves cannot be ignored, for it can totally mask the dispersion due to inhomogeneous stress.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2018

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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 highfrequency 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.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2018

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“…The magnetic memory method has limitations (only ferromagnetic materials can be detected). Ultrasonic method [17][18] has many advantages, such as wide detection range, safe, nondestructive and on-line detection. Therefore, it has become a hot research direction in stress nondestructive testing.…”

Section: Introductionmentioning

confidence: 99%

Progresses and Challenges of Ultrasonic Testing for Stress in Remanufacturing Laser Cladding Coating

Yan¹,

Dong²,

Xu³

et al. 2018

Preprint

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Stess in laser cladding coating is an important factor affecting the safe operation of remanufacturing components. Ultrasonic testing has become a hot direction in nondestructive evaluation of stress, because it has the advantages of safety, non-destructive and on-line detection. This paper provides a review of ultrasonic testing for stress in remanufacturing laser cladding coating. It summarizes the recent research outcomes on ultrasonic testing for stress, analyzes mechanism of ultrasonic testing for stress. Remanufacturing laser cladding coating shows typical anisotropic behaviors, the ultrasonic testing signal in laser cladding coating is influenced by many complex factors, such as microstructure, defect, temperature and surface roughness, etc. At present, ultrasonic testing for stress in laser cladding coating can only be done roughly. The paper discusses active mechanism of micro / macro factors to the reliability of stress measurement and the impact of stress measurement to the quality and safety of remanufacturing components. Base on the discussion, the paper proposes strategies for acquisition of nondestructive, rapid and accurate measurement of stress in remanufacturing laser cladding coating.

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Dynamic analysis of anisotropic half space containing an elliptical inclusion under SH waves

Jiang

Yang

Sun

et al. 2020

Math Methods in App Sciences

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Based on the methods of complex function, conformal mapping, and multipolar coordinate system, dynamic response of an elliptical inclusion embedded in an anisotropic half space is investigated. In order to find the solution of SH waves, the governing equation is transferred into its normalized form. Then, the scattering wave induced by the inclusion and the standing wave in the inclusion is deduced. Different incident wave angles and the corresponding anisotropy of the half space are considered to obtain the reflected waves. The elliptical inclusion is transferred into a unit circle by conformal mapping method, and then the undetermined coefficients in scattering wave and standing wave are solved by using the continuous condition at the boundary of the inclusion. Subsequently, the dynamic stress concentration factor (DSCF) around the inclusion is calculated and analyzed. Numerical results demonstrate that the distribution of the DSCF is mainly influenced by the incident wave angle and the incident wave number. It is affected by anisotropic parameters as well. KEYWORDSanisotropy, complex function method, dynamic stress concentration factor (DSCF), elliptical inclusion, wave scattering MSC CLASSIFICATION 74J20Math Meth Appl Sci. 2020;43:6888-6902. wileyonlinelibrary.com/journal/mma

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Dispersion of Rayleigh waves in weakly anisotropic media with vertically-inhomogeneous initial stress

Cited by 20 publications

References 22 publications

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

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

Progresses and Challenges of Ultrasonic Testing for Stress in Remanufacturing Laser Cladding Coating

Dynamic analysis of anisotropic half space containing an elliptical inclusion under SH waves

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