Congruences on monoids of transformations preserving the orientation on a finite chain

Journal of Algebra, 321 (2009), p. 743–757

Congruences on monoids of order-preserving or order-reversing transformations on a finite chain

Glasgow Mathematical Journal, nº 47 (2005), pg. 413-424

Presentations for some monoids of injective partial transformations on a finite chain.

Communications in Algebra, 33 (2005), p. 587-604

The cardinal and the idempotent number of various monoids of transformations on a finite chain

Bulletin of the Malaysian Mathematical Sciences Society, 2, 34 (1),(2011), p. 79–85

J. R. R. Tolkien, The Lord of the Rings; A Viagem e a Transformação

Este livro, agora publicado pelo INIC, é o resultado de um trabalho de investigação realizado entre 1985 e 1987 para a obtenção do grau de Mestre em Estudos Literários Comparados pela Faculdade de Ciências Sociais e Humanas da Universidade Nova de Lisboa. A literatura fantástica é uma área da literatura mundial que recebeu nas últimas décadas um grande interesse por parte da comunidade científica internacional. A multiplicação das associações, reuniões e congressos, a par da crescente produção teórica e científica, dão prova da vitalidade desta área da crítica literária. Parte deste movimento foi precisamente despoletado pelo interesse provocado pela obra de 1. R. R. Tolkien e de outros autores como C. S. Lewis, Charles Williams, etc. Este fenómeno internacional não teve ainda reais desenvolvimentos em Portugal. Cinco anos volvidos sobre a realização deste trabalho verificamos que ele é um dos primeiros (senão o primeiro) editado entre nós que, de uma forma sistemática e científica, analisa a obra de Tolkien, abordando ainda, embora de forma breve, a problemática da ficção fantástica contemporânea.

EFFECT – Efficient finite element code

The theme of this dissertation is the finite element method applied to mechanical structures. A new finite element program is developed that, besides executing different types of structural analysis, also allows the calculation of the derivatives of structural performances using the continuum method of design sensitivities analysis, with the purpose of allowing, in combination with the mathematical programming algorithms found in the commercial software MATLAB, to solve structural optimization problems. The program is called EFFECT – Efficient Finite Element Code. The object-oriented programming paradigm and specifically the C ++ programming language are used for program development. The main objective of this dissertation is to design EFFECT so that it can constitute, in this stage of development, the foundation for a program with analysis capacities similar to other open source finite element programs. In this first stage, 6 elements are implemented for linear analysis: 2-dimensional truss (Truss2D), 3-dimensional truss (Truss3D), 2-dimensional beam (Beam2D), 3-dimensional beam (Beam3D), triangular shell element (Shell3Node) and quadrilateral shell element (Shell4Node). The shell elements combine two distinct elements, one for simulating the membrane behavior and the other to simulate the plate bending behavior. The non-linear analysis capability is also developed, combining the corotational formulation with the Newton-Raphson iterative method, but at this stage is only avaiable to solve problems modeled with Beam2D elements subject to large displacements and rotations, called nonlinear geometric problems. The design sensitivity analysis capability is implemented in two elements, Truss2D and Beam2D, where are included the procedures and the analytic expressions for calculating derivatives of displacements, stress and volume performances with respect to 5 different design variables types. Finally, a set of test examples were created to validate the accuracy and consistency of the result obtained from EFFECT, by comparing them with results published in the literature or obtained with the ANSYS commercial finite element code.