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In this paper, a new method is proposed, in which only the first element stress values at the end of interface were used to obtain the intensity of the singular stress.
It is found that stresses at the end of interface tend to infinity, which indicates that a singular stress field exists around the end of the interface.
As singular stress fields exist around the end of interface between the adhesive and adherends, the riser pipe is more prone to break near the end of interface of the joint, so it is very important to evaluate the strength of adhesive joints for riser pipes in the sea environment.
Many researchers did some valuable work to analyze the stress singularity field at the end of interface between the adhesive and the adherends, such as Koguchi et al. [9], Kilic et al. [10], Van Tooren et al. [11], and Goglio and Rossetto [12], Tilscher [13].
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The results indicate that though the stress distributions of a single-lap adhesively bonded joint are strongly affected by the boundary conditions of the joint, the stress concentrations are confined to a very small region near (or at) the free ends of interfaces between the adherend and the adhesive layer while the centre region of the adhesive layer is mostly stress-free.
This allows us to guarantee no reflection at the end of the interface, and look at the symmetry of a purely forward propagating interface mode.
At the end of the interface, as shown in Figure 2, it is known that the interface stress σ ij (ij = rr, θθ, rθ) goes to infinity at the edge of the joint and has a singularity of σ ij ∝ 1/r1 − λ when a a-2β) > 0.
The stress values at the end of the interface are related to element sizes, but Figure 5 indicates that the stresses around the end of the interface tend to infinity with the element sizes in this paper, which means that a singular stress field exists around the end of the interface.
Stress values at the end of the interface are related to the elment sizes, but it can be found that stresses at the end of the interface tend to infinity with the element sizes in this paper, which indicates that a singular stress field exists at the end of the interface.
In addition, the PML simulation confirms the good matching of the edge modes in Supplementary Fig. 5b,c, which are radiated at the end of the interface.
The authors conclude that singular stress fields exist around the end of the interface.
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