期刊
APPLIED MATHEMATICAL MODELLING
卷 98, 期 -, 页码 701-721出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2021.05.024
关键词
Multilayered shells; Equivalent-Single-Layer theories; Discontinuous galerkin methods; High-order modelling
An original formulation for the elastic analysis of multilayered shells is presented in this work, which includes representing the shell mean surface via a generic system of curvilinear coordinates, unified treatment of general shell theories via an Equivalent-Single-Layer approach, and using an Interior Penalty discontinuous Galerkin scheme for the solution of governing equations. The combined use of these features enables a high-order solution of the multilayered shell problem.
An original formulation for the elastic analysis of multilayered shells is presented in this work. The key features of the formulation are: the representation of the shell mean surface via a generic system of curvilinear coordinates; the unified treatment of general shell theories via an Equivalent-Single-Layer approach based on the through-the-thickness expansion of the covariant components of the displacement field; and an Interior Penalty discontinuous Galerkin scheme for the solution of the set of governing equations. The combined use of these features enables a high-order solution of the multilayered shell problem. Several numerical tests are presented for isotropic, orthotropic and multilayered shells with different geometrical configurations and boundary conditions, including the case of a non smooth geometry. Comparisons with analytical solutions and finite-element simulations show the high-order accuracy as well as the capability and robustness of the proposed formulation, which can be a valuable tool for the analysis of generally-curved multilayered shells. (c) 2021 Elsevier Inc. All rights reserved.
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