Dispersion of an SH-Guided Wave in Weld Seam Based on Peridynamics Theory

Zhang, Xiaolong; Xu, Zhenying

doi:10.1155/2020/4802930

Cited by 3 publications

(3 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…e amplitude ratios of reflected and refracted waves to incident waves can be obtained from (34) and (47): e results of (50) and (51) in peridynamic medium agree with those obtained by traditional theory [31].…”

Section: The Sh Waves Refraction In Peridynamic Mediumsupporting

confidence: 66%

See 1 more Smart Citation

Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium

Zhang

Chen

et al. 2020

Shock and Vibration

Self Cite

View full text Add to dashboard Cite

This work uses peridynamic theory to obtain the internal force density of a shear horizontal (SH) wave, which is only connected with shear modulus. We then established the reflection equation of a SH wave in peridynamic medium based on the force boundary condition of the SH wave at the virtual boundary layer. The SH wave reflection characteristic in peridynamic medium is similar to the results of traditional theory, which was verified by simulations and experiments in steel plates. The refraction characteristics of a SH wave in peridynamic medium were obtained based on the continuity of the force and the displacement at the refraction point. These features established the relationship between bonds and wave angle. The refraction and reflection characteristics of a SH wave in a peridynamic medium were also verified by numerical simulations and experiments in a welded structure.

show abstract

Section: The Sh Waves Refraction In Peridynamic Mediumsupporting

confidence: 66%

“…In order to match the weld model with the steel plate model in the upper section, we grind the weld to get zero weld height. Material parameters [34,35] of steel plates and weld seams are given in Table 2.…”

Section: Sh Wave Propagation In Weldmentioning

confidence: 99%

Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium

Zhang

Chen

et al. 2020

Shock and Vibration

Self Cite

View full text Add to dashboard Cite

show abstract

“…6.3.3]. In addition, see the wave dispersion studies in peridynamics [12,23,28,37,38]. These studies are mostly at the numerical level.…”

Section: Introductionmentioning

confidence: 99%

On the Choice of Kernel Function in Nonlocal Wave Propagation

Aksoylu

Gazonas

2020

J Peridyn Nonlocal Model

View full text Add to dashboard Cite

It is a challenge to choose the appropriate kernel function in nonlocal problems. We tackle this challenge from the aspect of nonlocal wave propagation and study the dispersion relation at the analytical level. The kernel function enters the formulation as an input. Any effort to narrow down this function family is valuable. Dispersion relations of the nonlocal governing operators are identified. Using a Taylor expansion, a selection criterion is devised to determine the kernel function that provides the best approximation to the classical (linear) dispersion relation. The criterion is based on selecting the smallest coefficient in magnitude of the dominant term in the Taylor expansion after the constant term. The governing operators are constructed using functional calculus, which provides the explicit expression of the eigenvalues of the operators. The ability to express eigenvalues explicitly allows us to obtain dispersion relations at the analytical level, thereby isolating the effect of discretization on the dispersion relation. With the presence of expressions of eigenvalues of the governing operator, the analysis is clear and accessible. The choices made to obtain the best approximation to the classical dispersion relation become completely transparent. We find that the truncated Gaussian family is the most effective compared to power and rational function families.

show abstract

Differential Electromagnetic Acoustic Probes for Quantitative Detection of Pipeline Cracks

Wang

Yin

et al. 2023

IEEE Sensors J.

View full text Add to dashboard Cite

Dispersion of an SH-Guided Wave in Weld Seam Based on Peridynamics Theory

Cited by 3 publications

References 30 publications

Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium

Reflection and Refraction of Shear Horizontal Waves in Peridynamic Medium

On the Choice of Kernel Function in Nonlocal Wave Propagation

Differential Electromagnetic Acoustic Probes for Quantitative Detection of Pipeline Cracks

Contact Info

Product

Resources

About