Abstract
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.
Highlights
Large steel structures are widely used in daily life, and the safety of steel structures is very important [1]
Due to the randomness of the signal collected by the oscilloscope, the signal on the oscilloscope has a delay of 0.4 ms. e scattering of the shear horizontal (SH) wave by grains results in a 0.016 V clutter, which intensifies the dispersion of the SH wave. e amplitude of signal 3 is 0.04 V at 0.819 ms. e time increases compared with simulation. rough the comparison of peridynamic numerical simulation and experiment signal, we see that the peridynamic theory can well reflect the reflection characteristics of the SH wave in the steel plate
Due to the randomness of the signal collected by the oscilloscope, the signal on the oscilloscope has a delay of 0.15 ms. e peak value of signal 3 is 0.056 V at 0.581 ms. e signal in Figures 3, 4 and 7 suggest that the formation of the weld-guided wave is mainly reflected by the upper and lower boundaries. e differences in material parameters between the steel plate and weld seam that generated the SH wave reflection between the interface aggravate the formation of the weld-guided wave [38]
Summary
Large steel structures are widely used in daily life, and the safety of steel structures is very important [1]. The peridynamic method was used to study the reflection of the ultrasonic wave at the boundary and the refraction between different structures. The relationship between the micromodulus and shear modulus in the SH wave was obtained by decomposing the force between the material points. Since the SH wave only has a displacement along x3, formula (5) is reduced to the following: τ3 c33 u3(q, t) − u3(x, t)dVq. Nx erefore, the internal force density of SH wave is only affected by the micromodulus c33, and as SH wave is a plane wave, the material points q and x in formula (4) are in the same plane x1ox; c33 0, which is the component of c in (4). Since the weighted volume m and the bonds in (7) 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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