We derive here a fundamental solution for the harmonic vibration of thick asymmetrically laminated composite plates. The kinematics of the plate is based on Reddy’s third-order shear deformation theory (J Appl Mech 51:745–752, 1984). The fundamental solution is derived via the Fourier transform, and its final form is given in terms of definite integrals, which are evaluated numerically. All spatial singularities can be obtained explicitly, which makes the fundamental solution suitable for a boundary element method implementation.
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Daros, C.H. A fundamental solution for the harmonic vibration of asymmetrically laminated composite plates described by a higher-order theory of shear strains. Arch Appl Mech 91, 2053–2072 (2021). https://doi.org/10.1007/s00419-020-01869-y
- Fundamental solution
- Fourier transform
- Composite plates
- Harmonic vibration
- Bending extension coupling
- Higher-order theory
- Boundary element method