Abstract
The dispersion characteristics of shear horizontal- (SH-) guided waves in a weld seam are critical to identifying defects. By considering the force on the virtual boundary layer near the weld surface, a dispersion equation for the SH-guided wave in the weld seam was established here based on the peridynamics method. The wave dispersion equation is similar to the traditional theory. The SH wave in the infinite peridynamics medium has dispersion characteristics, and the group velocity of the SH-guided wave in the weld seam is slightly slower than that in the conventional theory. In the welded structure, the group velocity of the SH-guided wave is unevenly distributed in different regions due to the differences in material parameters between the weld seam and the steel plate and residual weld height on the weld seam. The distance from the different sensors to the defect can be precisely calculated via the group velocity distribution; thus, the defect can be accurately located. By compared with the finite element method and experiments under the same conditions, the reliability of the peridynamics method is verified. We used the group velocity of the SH-guided wave in the weld seam and peridynamics theory to better reflect the experimental conditions versus finite element simulations.
Highlights
Welding is critical in steel structures, and welding quality directly affects the safety of the entire structure [1,2,3,4,5].erefore, detection of weld seams is important
In the case of the same mode, the group velocity in the peridynamics medium is lower than the traditional theory; the difference in the group velocity becomes larger as the wavenumber increases
The dispersion equation of shear horizontal- (SH-)guided waves in weld seams is studied based on peridynamics. e dispersion equation of SH-guided waves in the weld seam based on the peridynamic medium is consistent with the traditional theory
Summary
Welding is critical in steel structures, and welding quality directly affects the safety of the entire structure [1,2,3,4,5]. Ese studies show that there is dispersion when SH-guided waves propagate in the weld seam. Combined with the dispersion analysis of SH-guided waves in the plate, the dispersion equation of SH-guided waves in the weld seam can be obtained; the modeling results are quite different from experimental ones. To solve this problem, a nonlocal peridynamics method can be used to study the dispersion equation in the weld seam. Silling [21] proposed the peridynamics theory in 2000 and studied the propagation and dispersion of linear. Since the weighted volume m and the bond in the integral term in formula (2) are only related to the geometric subdivision, the propagation of SH waves in different materials is only related to the shear modulus μ
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