TY - GEN
T1 - Laser generated thermoelastic waves in an anisotropic infinite plate
AU - Al-Qahtani, H. M.
AU - Datta, S. K.
PY - 2005/4/9
Y1 - 2005/4/9
N2 - An analysis of the propagation of thermoelastic waves in a homogenous, anisotropic, thermally conducting plate has been presented in the context of the generalized (L-S) theory of thermoelasticity. Three different methods are used in this analysis: two of them are exact and the third is a semi-analytic finite element method (SAFE). In our exact analysis, two different approaches are used. The first one, which is applicable to transversely isotropic plate, is based on introducing displacement potential functions, whereas in the second approach, which is applicable to any triclinic material, we rewrite the governing equations and boundary conditions in a matrix form. Finally, in the SAFE method, the plate is discretized along its thickness using N parallel, homogeneous layers, which are perfectly bonded together. Frequency spectrums are obtained using the three methods and are shown to agree well with each other. Numerical calculations have been presented for a silicon nitride (Si 3N 4) plate. However, the methods can be used for other materials as well.
AB - An analysis of the propagation of thermoelastic waves in a homogenous, anisotropic, thermally conducting plate has been presented in the context of the generalized (L-S) theory of thermoelasticity. Three different methods are used in this analysis: two of them are exact and the third is a semi-analytic finite element method (SAFE). In our exact analysis, two different approaches are used. The first one, which is applicable to transversely isotropic plate, is based on introducing displacement potential functions, whereas in the second approach, which is applicable to any triclinic material, we rewrite the governing equations and boundary conditions in a matrix form. Finally, in the SAFE method, the plate is discretized along its thickness using N parallel, homogeneous layers, which are perfectly bonded together. Frequency spectrums are obtained using the three methods and are shown to agree well with each other. Numerical calculations have been presented for a silicon nitride (Si 3N 4) plate. However, the methods can be used for other materials as well.
UR - https://www.scopus.com/pages/publications/33748553311
U2 - 10.1063/1.1916686
DO - 10.1063/1.1916686
M3 - Conference contribution
AN - SCOPUS:33748553311
SN - 0735402450
SN - 9780735402454
T3 - AIP Conference Proceedings
SP - 257
EP - 264
BT - Review of Progress in Quantitative Nondestructive Evaluation Volume 24
ER -