Search results for "multilayered plates"
showing 3 items of 3 documents
An implicit mesh discontinuous Galerkin formulation for higher-order plate theories
2019
In this work, a discontinuous Galerkin formulation for higher-order plate theories is presented. The starting point of the formulation is the strong form of the governing equations, which are derived in the context of the Generalized Unified Formulation and the Equivalent Single Layer approach from the Principle of Virtual Displacements. To express the problem within the discontinuous Galerkin framework, an auxiliary flux variable is introduced and the governing equations are rewritten as a system of first-order partial differential equations, which are weakly stated over each mesh element. The link among neighboring mesh elements is then retrieved by introducing suitably defined numerical …
A unified formulation for multilayered smart plate advanced models
2017
Magneto-electro-elastic (MEE) composite materials are attracting increasing consideration as they couple mechanical, electrical and magnetic fields and this makes them particularly suitable for smart applications. They are often employed as multilayered configurations that appear to be more effective than bulk MEE composites. Thus, reliable and efficient modelling tools are required for an effective design. The present talk deals with a unified formulation to derive advanced models for multilayered MEE plates. The approach is based on the condensation of the electro-magnetic state into the plate kinematics. This leads to models involving kinematical variables only, which takes the multifiel…
Variable kinematics models for multilòayered smart plates
2015
Families of layer-wise and equivalent single layer advanced finite elements for the geometrically nonlinear analysis of smart multilayered plates are formulated in a unified framework. The proposed modeling strategy reduces the multifield problems to an effective mechanical plate by the condensation of the electromechanical state into the plate kinematics, which is assumed as a variable order expansion along the plate thickness. Numerical results are presented to validate the proposed modeling approach and finite elements and to investigate their features.