65 documents found, page 1 of 7
Book of Abstracts: 2nd International Workshop on Mathematics and Physical Sciences
Anjos, António; Minhós, Feliz; Carapau, Fernando; Bezzeghoud, Mourad; Correia, Paulo; Oliveira, Rui Jorge; Abreu, SalvadorBook of Abstracts: 2nd International Workshop on Mathematics and Physical Sciences
Coupled systems with Ambrosetti-Prodi-type differential equations
Minhós, Feliz; Carapau, Fernando; Rodrigues, GracinoIn this paper, we consider some boundary value problems composed by coupled systems of second-order differential equations with full nonlinearities and general functional boundary conditions verifying some monotone assumptions. The arguments apply the lower and upper solutions method, and defining an adequate auxiliary, homotopic, and truncated problem, it is possible to apply topological degree theory as the t...
A Three-Dimensional Velocity Field Related to a Generalized Third-Grade Fluid M...
Carapau, Fernando; Correia, Paulo; Rodrigues, GracinoIn this work, we propose a new three-dimensional constitutive equation related to a thirdgrade fluid. This proposal is based on experimental work for which the viscosity term and the terms related to viscoelasticity may depend on the shear rate, in accordance with a power-law type model. The numerical implementation of this fluid model is rather demanding in terms of computational calculation and, in this sense...
Book of Abstracts: International Workshop on Mathematics and Physical Sciences
Minhós, Feliz; Bezzeghoud, Mourad; Abreu, Salvador; Carapau, Fernando; Correira, PauloThis book-proceeding comprises the results of various comprehensive Mathematical and Physical Sciences-based studies accepted for presentation and discussion during the 1st Mathematical and Physical Sciences International Workshop in Évora, in 2023 (Mat- Phys23). The MatPhys23, organized under the auspices of University of Évora throughout the CIMA - Research Center in Mathematics and Applications, the ICT - In...
Finite Gradient Models with Enriched RBF-Based Interpolation
Areias, Pedro; Melicio, Rui; Carapau, Fernando; Carrilho Lopes, JoséA finite strain gradient model for the 3D analysis of materials containing spherical voids is presented. A two-scale approach is proposed: a least-squares methodology for RVE analysis with quadratic displacements and a full high-order continuum with both fourth-order and sixth-order elasticity tensors. A meshless method is adopted using radial basis function interpolation with polynomial enrichment. Both the fi...
International Conference on Nonlinear Differential Equations and Applications
Minhós, Feliz; Carapau, Fernando; Correia, Paulo; Bandeira, LuísDear Participants, Colleagues and Friends It is a great honour and a privilege to give you all a warmest welcome to the first Portugal-Italy Conference on Nonlinear Differential Equations and Applications (PICNDEA). This conference takes place at the Colégio Espírito Santo, University of Évora, located in the beautiful city of Évora, Portugal. The host institution, as well the associated scientific research cen...
Recent Advances in Mechanics and Fluid-Structure Interaction with Applications
Carapau, Fernando; Vaidya, AshwinThis volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI). The topics have been chosen in commemoration of Dr. Bong Jae Chung and with respect to his wide range of research interests. This volume stands apart because of this diversity of interests, featuring an interdisciplinary and in-depth analysis of FSI that i...
Cellular Automata Describing Non-equilibrium Fluids with Non-mixing Substances
Ramos, Carlos; Carapau, Fernando; Correia, PauloA family of cellular automata arising from perturbations of a basic cellular automata rule, represented by 3E6IGS58S, in base 32, is studied. These rules can be seen as modeling idealized fluids in non-equilibrium, subject to interaction on distinct phases. Using adaptive techniques such as assembly and singular perturbation of cellular automata, we present several simulations showing the increase of complexity...
Three-Dimensional Velocity Field Using the Cross-Model Viscosity Function
Carapau, Fernando; Correia, Paulo; Areias, PedroThe study of the three-dimensional fluid model for which the Cauchy stress tensor depends on the cross viscosity function is a challenging and complex model in terms of computational effort. To simplify this computational difficulty presented by the three-dimensional problem, we use an approach based on the Cosserat theory related to fluid dynamics which reduces the three-dimensional problem to a one-dimensiona...
Consistent C Element-Free Galerkin Method for Finite Strain Analysis
Areias, Pedro; Carapau, Fernando; Carrilho Lopes, José; Rabczuk, TimonWe introduce both distinct quadrature and distinct polynomial degrees for the deviatoric and volumetric terms of the right Cauchy-Green tensor in the context of a Lagrangian-based element-free Galerkin (EFG) discretization. First and second derivatives of the mixed deformation gradient are made available. A finite element mesh is employed for quadrature purposes with the corresponding distribution of Gauss poin...