A variational-asymptotic method produces an asymptotically exact one-dimensional theory for functionally graded anisotropic rods, complete with energetic error bounds and validation against three-dimensional wave solutions.
Exact solution for functionally graded anisotropic elastic compositelaminates.JournalofCompositeMaterials37(21), 1903–1920
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Asymptotically exact dimension reduction of functionally graded anisotropic rods
A variational-asymptotic method produces an asymptotically exact one-dimensional theory for functionally graded anisotropic rods, complete with energetic error bounds and validation against three-dimensional wave solutions.