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Carlos A. Mota Soares

Bio: Carlos A. Mota Soares is an academic researcher from Instituto Superior Técnico. The author has contributed to research in topics: Finite element method & Piezoelectricity. The author has an hindex of 19, co-authored 31 publications receiving 1179 citations.

Papers
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BookDOI
01 Jan 1993
TL;DR: In this paper, the Homogenization Method for Topology Design is used for topology design in a computer-aided design environment and the boundary shape design method is used.
Abstract: Part I: Topology Design of Discrete Structures. Part II: Discrete Design and Selection Problems. Part III: The Homogenization Method for Topology Design. Part IV: Alternative Methods for Topology Design of Continuum Structures. Part V: Boundary Shape Design Methods. Part VI: Relaxation and Optimal Shape Design. Part VII: Effective Media Theory and Opimal Design. Part VIII: Extending the Scope of Topology Design. Part IX: Topology Design in a Computer-Aided Design Environment. Part X: Aspects of Toplogy Design. Index.

184 citations

Journal ArticleDOI
TL;DR: In this paper, higher order finite element formulations and an analytical closed form solution have been developed to study the mechanics of adaptive composite structures with embedded and/or bonded piezoelectric actuators and sensors.

160 citations

Journal ArticleDOI
TL;DR: In this paper, a finite element formulation for active vibration control of thin plate laminated structures with integrated piezoelectric layers acting as sensors and actuators is presented, based on the Kirchhoff classical laminated theory.

119 citations

Journal ArticleDOI
TL;DR: In this paper, a finite element formulation based on the classical laminated plate theory for laminated structures with integrated piezoelectric layers or patches, acting as sensors and actuators, is presented.

76 citations


Cited by
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Journal ArticleDOI
TL;DR: An overview, comparison and critical review of the different approaches to topology optimization, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
Abstract: Topology optimization has undergone a tremendous development since its introduction in the seminal paper by Bendsoe and Kikuchi in 1988. By now, the concept is developing in many different directions, including “density”, “level set”, “topological derivative”, “phase field”, “evolutionary” and several others. The paper gives an overview, comparison and critical review of the different approaches, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.

1,816 citations

Journal ArticleDOI
TL;DR: An alternate method based on Fourier series which avoids meshing and which makes direct use of microstructure images is proposed, based on the exact expression of the Green function of a linear elastic and homogeneous comparison material.

1,170 citations

Journal ArticleDOI
TL;DR: In this paper, the material density field is filtered to enforce a length scale on the field variation and is penalized to remove less effective intermediate densities to resolve the non-existent solution to the solid void topology problem.

1,125 citations

Journal ArticleDOI
TL;DR: In this paper, the authors evaluate and compare established numerical methods of structural topology optimization that have reached the stage of application in industrial software, and they hope that their text will spark off a fruitful and constructive debate on this important topic.
Abstract: The aim of this article is to evaluate and compare established numerical methods of structural topology optimization that have reached the stage of application in industrial software. It is hoped that our text will spark off a fruitful and constructive debate on this important topic.

896 citations

Journal ArticleDOI
TL;DR: In this article, a three-phase topology optimization method was proposed to find the distribution of material phases that optimizes an objective function (e.g. thermoelastic properties) subject to certain constraints, such as elastic symmetry or volume fractions of the constituent phases, within a periodic base cell.
Abstract: Composites with extremal or unusual thermal expansion coefficients are designed using a three-phase topology optimization method. The composites are made of two different material phases and a void phase. The topology optimization method consists in finding the distribution of material phases that optimizes an objective function (e.g. thermoelastic properties) subject to certain constraints, such as elastic symmetry or volume fractions of the constituent phases, within a periodic base cell. The effective properties of the material structures are found using the numerical homogenization method based on a finite-element discretization of the base cell. The optimization problem is solved using sequential linear programming. To benchmark the design method we first consider two-phase designs. Our optimal two-phase microstructures are in fine agreement with rigorous bounds and the so-called Vigdergauz microstructures that realize the bounds. For three phases, the optimal microstructures are also compared with new rigorous bounds and again it is shown that the method yields designed materials with thermoelastic properties that are close to the bounds. The three-phase design method is illustrated by designing materials having maximum directional thermal expansion (thermal actuators), zero isotropic thermal expansion, and negative isotropic thermal expansion. It is shown that materials with effective negative thermal expansion coefficients can be obtained by mixing two phases with positive thermal expansion coefficients and void.

827 citations