Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 234, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2021.111077
Keywords
Generalized continuum; Stress-based model; Elastodynamics; Variational principle; Multilayered plates; Layerwise plate model
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Funding
- Dassault Aviation
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This paper presents a method for obtaining consistent generalized inertias through the use of a complementary energy principle in elastodynamics, which is then applied to extend a stress-based layerwise plate model in a dynamic setting. The effectiveness of this approach is validated through modal analysis of various anisotropic composite laminates.
The derivation of some class of generalized mechanical models relies on a specific stress expansion without any a priori assumption on the corresponding kinematics. In such situations, their extension to a dynamic setting is not easy, especially when deriving the corresponding generalized inertias since the kinematics is unknown. This paper shows how consistent generalized inertias can be obtained through the use of a complementary energy principle in elastodynamics. The methodology is then applied to extend a stress-based layerwise plate model in the dynamic setting. This approach is finally validated through modal analysis of various anisotropic composite laminates. (c) 2021 Elsevier Ltd. All rights reserved.
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