Finite Element Model for the Analysis of Poisson Equation

Palacios J.S.; Gonzales A.S.; Roman Aleman A. · 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings (2022) · DOI: 10.1109/coniiti57704.2022.9953637

Resumen

This article consists of obtaining the effective thermal conductivity coefficient (TCC) of cement-based compounds through a micromechanical homogenization inclusion approach, and a multilevel scheme for the description of the multiphase material structure. The research aims to evaluate the model in accordance with the principles of the Mori & Tanaka homogenization scheme with different values of materials evaluated in other previous investigations. Furthermore, the concentration polarization tensor is used to obtain the interaction tensor, this estimation is based on an analytical expression of the Poisson Laplace formulation. Finally, the model will be evaluated within the generalized Poisson Laplace equation, this equation will be solved numerically under the finite element method using Gauss quadrature and Lagrange interpolation functions as integration.

Instituciones: Universidad Peruana de Ciencias Aplicadas