Panters Rodriguez-Bermúdez

• PhD
• Professor (Full) at Fluminense Federal University

In this work, the two-scale asymptotic homogenization method (AHM) is developed to describe the effective behavior of multi-laminated elastic micropolar composites with Fibonacci and random structure under perfect contact conditions at the interfaces. The local problem statements over the periodic cell Y are presented, and the corresponding effecti...

In this contribution, heterogeneous micropolar elastic fiber‐reinforced composites (FRCs) with a periodic structure are analyzed using the two‐scale asymptotic homogenization method (AHM). We focus on predicting the antiplane effective properties of micropolar two‐phase FRCs with parallelogram‐like unit cells. The periodic structure is defined by u...

The two-scale asymptotic homogenization method (AHM) is implemented to determine the effective behavior of periodic laminated micropolar elastic composites under perfect contact conditions. The rotation effect of constitutive property on the effective behavior of the composite is also analyzed. From AHM, the main results for centro-symmetric microp...

Resumo: O presente trabalho tem como objetivo abordar numericamente problemas governados pela equação de transpor-te difusiva-convectiva em regime permanente. Mais especificamente, foram estudados cenários bidimensionais nos quais há o predomínio do fenômeno da convecção, uma vez que desta forma tem-se um problema de perturbação singular. Para a ab...

Cancer is a disease characterized by the uncontrolled growth of abnormal cells in the body. It is a complex and multifaceted disease that has challenged researchers and doctors for decades. The ability to visualize and understand tumor growth can provide valuable insights into how cancer develops and spreads, leading to significant improvements in...

Dossiê: Modelagem Computacional em Ciência e Tecnologia, v. 10, n. especial, 2024. Artigos apresentados no I Simpósio de Resolução de Problemas na Educação Matemática (I SiRPEM), da Universidade Estadual de Maringá, Maringá, Paraná, realizado nos dias 29 e 30 de julho de 2021. Publicação contínua: 28/06/2024 a 19/07/2024.

Neste trabalho foi aplicado o método assintótico no modelo de tráfego de Greenberg, que é representado por uma lei de conservação, para obter soluções do tipo choque. O texto inicia apresentando a função polinomial, que é uma aproximação da função de fluxo do modelo de Greenberg, e a partir dela se constrói a cadeia de Hugoniot-Maslov, que é o méto...

The asymptotic homogenization method is applied to characterize the effective behaviour of periodic multi-laminated micropolar elastic heterogeneous composites under perfect contact conditions. The local problem formulations and the analytical expressions for the effective stiffness and torque coefficients are derived for the centrosymmetric case....

We study the Riemann problem for a new model on immiscible vertical two-phase flow under point injection. The point injection is modeled by a Dirac [Formula: see text]-source term as well as by a spatially discontinuous flux function, which defines two fluxes, one on each side of the discontinuity. The solutions comprise up to three wave groups: do...

In general, oil reservoirs may consist of composite sedimentary structures composed of materials such as sand, clay, or limestone, which exhibit varying lithology due to sedimentary processes. A comprehensive knowledge of this lithology is essential for accurately assessing their hydrocarbon storage and production capacity. Additionally, this infor...

The fatigue strength curves for fiber reinforced laminates are normally available at certain combinations of load ranges and minimum-to-maximum load ratios. The data are alternatively presented in the form of a constant life diagram. Real-world signals contain, however, a finite number of load ranges and mean values pairs which rarely coincide with...

A discrete time series of strain values was acquired transversely to the most critical welded joint in a silo trailer while driving fully loaded on the roads. The objective of such measurements was to perform a fatigue life assessment of this welded joint under real service conditions. These kinds of load processes are normally summarized in a rain...

In this article we use a simplified model for vertical three-phase flow in porous media of immiscible fluids like water, oil and supercritical-CO2. The relative permeability functions of oil and CO2 phases are assumed to be linear functions of the respective saturations while the relative permeability of the water phase is a quadratic function of w...

This paper presents a methodology based on the asymptotic homogenization method (AHM) to model flexoelectric composites with nonlocal elasticity. The nonlocal elasticity tensor accounts for the long-range interactions between the strain gradient and the electric field, which affect the effective flexoelectric coefficients and the composite’s overal...

Neste trabalho propomos uma aproximação por polinômios (via série de Taylor) da função de fluxo do modelo de tráfego de Greenberg, que é mais indicado para modelar congestionamentos. Essa função de fluxo vem do fato desse modelo ser modelado por uma lei de conservação, pois ele pertence a categoria macroscópica, ou seja, não vai analisar o comporta...

In this paper we propose a new formula to divide power series. We develop two versions of the formula: a recursive and a non-recursive one, the latter aiming to reduce the computational cost for high-order series truncation. To use the non-recursive formula we define certain fundamental sets of summation indexes. Additional non-trivial information...

Neste trabalho utilizamos o método de elementos finitos Galerkin Descontinuo Runge- Kutta (RKDG) em uma malha triangular para obter soluções numéricas para problemas hiperbólicos em 2D, em particular para leis de conservação escalares e para o sistema de leis de balanço shallow water. Este método consiste na discretização espacial através do método...

In this work, we develop an improved shock-capturing and high-resolution Lagrangian–Eulerian method for hyperbolic systems and balance laws. This is a new method to deal with discontinuous flux and complicated source terms having concentrations for a wide range of applications science and engineering, namely, 1D shallow-water equations, sedimentati...

In this work we study two-phase flow with gravity either in 1-rock homogeneous media or 2-rocks composed media. These phenomena can be modeled by a non-linear scalar conservation law with continuous flux function or discontinuous flux function, respectively. Our study is essentially from a numerical point of view, we apply the new Lagrangian-Euleri...

In this work we study two-phase flow with gravity either in 1-rock homogeneous media or 2-rocks composed media, this phenomenon can be modeled by a non-linear scalar conservation law with continuous flux function or discontinuous flux function, respectively. Our study is essentially from a numerical point of view, we apply the new Lagrangian-Euleri...

O escoamento bifásico de fluidos imiscíveis em meios porosos é descrito por uma lei de conservação escalar não linear. As soluções analíticas deste problema podem ser obtidas usando o método de Oleinik, porém uma abordagem numérica se torna útil para entender como resolver problemas mais complexos. As soluções de Riemann dessa lei de conservação ge...

Epidemiology is an area that quantitatively and qualitatively studies the distribution of health-disease phenomena, as well as their conditioning factors in human populations, animals and even crop pests. History shows us innumerable passages that evidence the disastrous impact of epidemics on humanity. The need to understand the proliferation of d...

In this work we apply the asymptotic method suggested by Maslov [1] to obtain the Hugoniot–Maslov chain for shock type solutions of conservation laws systems with quadratic flux. Additionally to the ODE infinite system that make up the chain, it was obtained an algebraic compatibility condition that must be satisfied by some of the coefficients of...

O escoamento bifásico horizontal de fluidos em um meio poroso pode ser modelado pela equação de Buckley-Leverett, obtida quando negligenciam-se as pressões de capilaridade e a ação da gravidade. As soluções de Riemann para essa equação são constituı́das em geral por sequências de ondas de choque e de rarefação, comumente denominadas soluções fracas...

Gliomas are brain tumors that grow before the patient can notice any symptoms. This type of tumor is classified on an I-IV scale according to its degree of malignancy and growth rate. The survival of patients diagnosed with gliomas rarely exceeds 3 years. The usual treatment consists of a combination of surgical resection, to remove as much tumor a...

We study the hyperbolicity for systems of two conservation laws, which model vertical three-phase flow, where both gravity and convection due to pressure-gradient are considered. Besides the well known umbilic points found in the horizontal problem (without gravity), here we find new types of points where characteristic values coincide, located at th...

We study Riemann solutions for a system of two nonlinear conservation laws that models buoyancy-driven flow of three immiscible fluids in a porous medium, which do not exchange mass. We also assume that the fluids are incompressible and the flow occurs in the vertical spatial dimension. We consider the simplified case in which two of the three flui...

In this paper, via the algebra of generalized functions, we investigate the generalized Riemann’s problem associated to conservation laws with analytical coefficients. This allows us to transform the problem into a system of ordinary differential equations. In some particular cases, such as Burgers’ and conservative Richard’s equation, approximated...

In this paper we give a theoretical foundation to the asymptotical development proposed by V. P. Maslov for shock type singular solutions of conservations laws, in the framework of Colombeau theory of generalized functions. Indeed, operating with Colombeau differential algebra of simplified generalized functions, we proof that Hugoniot–Maslov chain...