Nonlinear Finite Element Modeling and Analysis of Coupled Multi-Physics Smart Composite Structures
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Beschreibung
The objective of this thesis is to develop fully nonlinear finite element models for smart thermopiezomechanical and magnetoelectroelastic composite layered shell structures. Nonlinearly coupled thermopiezomechanical constitutive relations are used for piezoelectric structures, whereas three-way coupled constitutive relations are used to deal with the problems of magnetoelectroelasticity. The geometrically nonlinear strain-displacement relations with finite rotations in the framework of the Reissner-Mindlin first-order transverse shear deformation hypothesis are adopted for both types of finite elements. Further, numerical models are developed also for smart functionally graded structures. In the case of magnetoelectroelastic finite elements, a detailed derivation of a thermodynamically consistent theory including fully coupled magnetoelectroelastic field equations and constitutive relations is given. The developed numerical models are deployed in various examples of nonlinear statics and dynamics of beams, plates and shells, including also control problems of smart structures, to validate and to show the potentiality as well as the predictive capabilities. Additionally, the presented results are compared with those available in literature as far as possible.
In this dissertation descriptions and derivations of a thermodynamically consistent fully coupled thermopiezomechanical finite rotation shell element and a magnetoelectroelastic (MEE) shell element are presented. Full geometrically nonlinear strain-displacement relations and finite rotations are considered in the framework of FOSD hypothesis. The four node thermopiezomechanical shell element (FOSD FRT) has 5 mechanical DOFs, 3 electrical DOFs and 4 thermal DOFs per node.
The thermopiezomechanical shell element is developed to deal with problems of isotropic, FGM and composite laminated structures. Various numerical examples are studied which range from simple single field mechanical problems to complex multi-field problems. For comparison purposes, numerical simulations are performed for certain examples with simplified nonlinear theories like refined von Kármán type (FOSD RVK), moderate rotation theory (MRT) models, and using the commercial FE software Abaqus. Additionally, the presented results are compared with those available in literature as far as possible.
In the later part of this thesis, the magnetoelectroelastic shell finite element is developed to deal with static analysis of multilayered composite plates/shells integrated with fully coupled MEE layers. The electric and magnetic potentials have been assumed to vary quadratically over the crosssection of the MEE layer. It is noteworthy to mention that no literature is available concerned with the full geometrically nonlinear 2D-shell element to investigate laminated composite shells integrated with fully coupled MEE layers.
Autor*in
Narasimha Rao Mekala
Themen in »Nonlinear Finite Element Modeling and Analysis of Coupled Multi-Physics Smart Composite Structures«
Finite rotations magnetoelectroelastic materials piezoelectrics materials