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Aerothermoelastic Behavior of Flat and Curved Panels

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Encyclopedia of Thermal Stresses

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Correspondence to Laith K. Abbas .

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Appendix A: Dimensionless Parameters

Appendix A: Dimensionless Parameters

\( \overline{W} = w/a{ \ } \)

\( \hat{\overline{W}} = \hat{w}/a{ \ } \)

\( \xi = x/a{ \ } \)

\( \bar{t} = t{\Omega_0}{ \ } \)

\( {\Omega_0} = {{(\pi /a)}^2}\sqrt {{D/{\rho_m}h}} { \ } \)

\( {\bar{\Omega}} = {\Omega_0}a/{c_{\infty }} \)

\( \bar{h} = h/a{ \ } \)

\( \hat{h} = h/{\Re_x} \)

\( P_z^{stat } = {\Delta}P_z^{stat }(x){a^4}/{D_0}h \)

\( {T_{cr }} = {D_0}/Eh{a^2}{\alpha_0}{ \ } \)

\( \bar{\rho } = ({\rho_m}/{\rho_{\infty }}) \)

\( H \approx {a^2}/(8{\Re_x}) \)

\( \mathop{\tau}\limits^{* } = \mathop{T}\limits^{* } /{T_{cr}}\)

\(\mathop T\limits^* = \mathop{\tau}\limits^{* } \cos (\pi \xi)\)

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Abbas, L.K., Xiaoting, R., Marzocca, P. (2014). Aerothermoelastic Behavior of Flat and Curved Panels. In: Hetnarski, R.B. (eds) Encyclopedia of Thermal Stresses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2739-7_869

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