For a specially orthotropic, transversely isotropic material the "plane strain bulk modulus," \(K_{23}\), is an engineering constant that is defined by the stress conditions \(\sigma_{2}=\sigma_{3}=\sigma\) and the strain conditions \(\varepsilon_{1}=0, \varepsilon_{2}=\varepsilon_{3}=\varepsilon\). Show that these conditions lead to the stress-strain relationship \(\sigma=2 K_{23} \varepsilon\), and find the relationship among \(K_{23}, E_{1}, E_{2}, G_{23}\), and \(v_{12}\).