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R. Garcia Lage

Other affiliations: Technical University of Lisbon
Bio: R. Garcia Lage is an academic researcher from Instituto Superior Técnico. The author has contributed to research in topics: Finite element method & Constitutive equation. The author has an hindex of 4, co-authored 6 publications receiving 275 citations. Previous affiliations of R. Garcia Lage include Technical University of Lisbon.

Papers
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Journal ArticleDOI
TL;DR: In this paper, a partial mixed layerwise finite element model for adaptive plate structures is presented by considering a Reissner mixed variational principle, and the mixed functional is formulated using transverse stresses, displacement components and electric and magnetic potentials as primary variables.

148 citations

Journal ArticleDOI
TL;DR: In this paper, a Reissner mixed variational principle is used to formulate the finite element model for piezolaminated plate structures and the mixed functional is formulated using transverse stresses, transverse electrical displacement (if continuity, across the thickness, is required), displacement components and electrical potential as primary variables.

57 citations

Proceedings Article
04 Sep 2002
TL;DR: In this paper, a Reissner mixed variational equation is used to derive the governing equations, using transverse stresses, transverse electrical displacement, displacement components and electrical potential as primary variables.
Abstract: This paper deals with the development of a layerwise finite element model for piezo-laminated plate structures. A Reissner mixed variational equation is used to derive the governing equations, using transverse stresses, transverse electrical displacement, displacement components and electrical potential as primary variables. The present model in contrast with the standard layerwise displacement finite elements fulfils the continuity of all primary variables at the interface between adjacent layers. Only the layers in-plane stress components and corresponding electric displacements are evaluated by post-processing through the piezolaminated constitutive equations. The applicability and performance of the proposed model is illustrated with an example. The predictions of the primary variables and the efficiency of the model mainly related with the interlaminar stresses are discussed and compared with alternative three-dimensional solutions.

54 citations

Journal ArticleDOI
TL;DR: In this paper, a mixed layerwise finite element model for adaptive plate structures is presented, in contrast with the standard layerwise displacement finite element (LDFE) model, which fulfils the continuity of all primary variables across the interface between adjacent layers.

30 citations

Journal ArticleDOI
TL;DR: In this paper, a finite element model based on first-order shear deformation theory was developed to predict the static and dynamic response of laminated composite plates, which can be applied to any arbitrary layup.
Abstract: Walsh series are used to develop a finite-element model based on first-order shear deformation theory that enables accurate prediction of static and dynamic response of laminated composite plates. The model is based on a single-layer quadrilateral plate element with mixed formulation, which can be applied to any arbitrary layup. The model has as degrees of freedom stress resultants and generalized displacements. The accuracy and efficiency of the model developed is discussed with four illustrative cases, for static and natural frequencies results, which are compared with alternative solutions.

2 citations


Cited by
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Book ChapterDOI
01 Jan 1997
TL;DR: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.
Abstract: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.

1,820 citations

Book
10 Aug 2006
TL;DR: In this paper, the Lagrangian dynamics of mechanical systems are studied and Lagrange's equations with constraints with respect to kinematic constraints for continuous systems are presented. But the authors focus on continuous systems and do not consider the case of discrete transducers.
Abstract: Lagrangian dynamics of mechanical systems 1.1 Introduction 1.2 Kinetic state functions 1.3 Generalized coordinates, kinematic constraints 1.4 The principle of virtual work 1.5 D'Alembert's principle 1.6 Hamilton's principle 1.7 Lagrange's equations 1.8 Lagrange's equations with constraints 1.9 Conservation laws 1.10 More on continuous systems 1.11 References 2 Dynamics of electrical networks 2.1 Introduction 2.2 Constitutive equations for circuit elements 2.3 Kirchhoff's laws 2.4 Hamilton's principle for electrical networks 2.5 Lagrange's equations 2.6 References 3 Electromechanical Systems 3.1 Introduction 3.2 Constitutive relations for transducers 3.3 Hamilton's Principle 3.4 Lagrange's equations 3.5 Examples 3.6 General electromechanical transducer 3.7 References 4 Piezoelectric Systems 4.1 Introduction 4.2 Piezoelectric transducer 4.3 Constitutive relations of a discrete transducer 4.4 Structure with a discrete piezoelectric transducer 4.5 Multiple transducer systems 4.6 General piezoelectric structure 4.7 Piezoelectric material 4.8 Hamilton's principle 4.9 Rosen's piezoelectric transformer 4. 10 References 5 Piezoelectric laminates 5.1 Piezoelectric beam actuator 5.2 Laminar sensor 5.3 Spatial modal filters 5.4 Active beam with collocated actuator-sensor 5.5 Piezoelectric laminates 5.6 References 6 Active and Passive Damping with Piezoelectric Transducers 6.1 Introduction 6.2 Active strut, open-loop FRF 6.3 Active damping via 1FF 6.4 Admittance of the piezoelectric transducer 6.5 Damping via resistive shunting 6.6 Inductive shunting 6.7 Decentralized control 6.8 General piezoelectric structure 6.9 Self-sensing 6.10 Other active damping strategies 6.11 Remark 6.12 References Bibliography Index

338 citations

Journal ArticleDOI
TL;DR: In this article, an approximate solution for the free vibration problem of two-dimensional magneto-electro-elastic laminates is presented to determine their fundamental behavior, which is composed of linear homogeneous elastic, piezoelectric, or magnetostrictive layers with perfect bonding between each interface.

244 citations

Journal ArticleDOI
TL;DR: In this paper, different electromagnetic boundary conditions on the crack-faces in magnetoelectroelastic materials, which possess coupled piezoelectric, piezomagnetic and magnetelectric effects, are discussed.

178 citations

Journal ArticleDOI
TL;DR: This review is expected to provide a clear picture of layerwise theory for modeling of composite laminated structures and serve as a useful resource and guide to researchers who intend to extend their work into these research areas.

170 citations