Abstract
We present a new mortar approach in the spectral context for the analysis and optimization of L-shaped thin composite laminates. Its roots may be found in the (very few) existing mortar approaches for the bi-Laplacian that are herein extended to handle the fourth-order elliptic operator governing thin anisotropic laminates. For the computation of the structural matrices, exact symbolic integration is used rather than more classical Gauss---Lobatto quadrature schemes. Thanks to the underlying spectral approach, considerable CPU times savings are obtained compared with finite-element approaches when the optimal design of the laminates is pursued. A few numerical studies that are concerned with the analysis and the optimization of L-shaped single-layered plates are described in detail.
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