Code: Select all
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%\journal{Nuclear Physics B}
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\textcolor{red}{The equation needs to be modified should we take into account the residual stress imposed on the wire by the composite matrix. Here we consider the resultant effect of residual stress ( $\overline{\sigma}_{m}$ ) without considering the individual components. At the surface of the metallic core, the residual forces at the axial and azimuthal direction are compressive \cite{Chiriac1995a}. After the curing process for the composite preparation, there will be also residual stresses formed at the matrix-wire interface, and they are compressive in all directions due to much larger thermal contraction of epoxy matrix than that of wire. Therefore, the residual stress at the glass-metal interface is enhanced.} Eq.~\ref{eq:usov3} can thus be modified to
\begin{subequations}\label{eq:usov4}
\begin{align} H_k=\frac{3\left|\lambda_s\right|}{M_s}(\sigma_{zz}-\sigma_{\phi\phi}+\overline{\sigma}_{m}+\widetilde{\sigma}_{zz}),\\
\widetilde{\sigma}_{zz}=\frac{1}{(1-k)p^2+k}\overline{\sigma}_{zz}.
\end{align}
\end{subequations}
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