Finite Element Model for the Analysis of Poisson Equation

Jazer Suarez Palacios; Albert Segundo Gonzales; Arciniega Roman Aleman

doi:10.1109/CONIITI57704.2022.9953637

Finite Element Model for the Analysis of Poisson Equation

Jazer Suarez Palacios
, Albert Segundo Gonzales
, Arciniega Roman Aleman

Faculty of Engineering

Universidad Peruana de Ciencias Aplicadas

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original language	English
Title of host publication	2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings
Editors	Victor Manuel Fontalvo Morales
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781665465250
DOIs	https://doi.org/10.1109/CONIITI57704.2022.9953637
State	Published - 2022
Event	2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Bogota, Colombia Duration: 5 Oct 2022 → 7 Oct 2022

Publication series

Name	2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings

Conference

Conference	2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022
Country/Territory	Colombia
City	Bogota
Period	5/10/22 → 7/10/22

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 11 Sustainable Cities and Communities

Keywords

Cement-Based Materials
Differential Equation
Finite Element Method
High Order Interpolation
Micromechanics of Solids
Poisson-Laplace
Thermal Conductivity

Access to Document

10.1109/CONIITI57704.2022.9953637

Cite this

Palacios, J. S., Gonzales, A. S., & Roman Aleman, A. (2022). Finite Element Model for the Analysis of Poisson Equation. In V. M. F. Morales (Ed.), 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings (2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CONIITI57704.2022.9953637

Palacios, Jazer Suarez ; Gonzales, Albert Segundo ; Roman Aleman, Arciniega. / Finite Element Model for the Analysis of Poisson Equation. 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings. editor / Victor Manuel Fontalvo Morales. Institute of Electrical and Electronics Engineers Inc., 2022. (2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings).

@inproceedings{4b320060b7ca499484c22670ac077548,

title = "Finite Element Model for the Analysis of Poisson Equation",

abstract = "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.",

keywords = "Cement-Based Materials, Differential Equation, Finite Element Method, High Order Interpolation, Micromechanics of Solids, Poisson-Laplace, Thermal Conductivity",

author = "Palacios, \{Jazer Suarez\} and Gonzales, \{Albert Segundo\} and \{Roman Aleman\}, Arciniega",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 ; Conference date: 05-10-2022 Through 07-10-2022",

year = "2022",

doi = "10.1109/CONIITI57704.2022.9953637",

language = "Ingl{\'e}s",

series = "2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

editor = "Morales, \{Victor Manuel Fontalvo\}",

booktitle = "2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings",

}

Palacios, JS, Gonzales, AS & Roman Aleman, A 2022, Finite Element Model for the Analysis of Poisson Equation. in VMF Morales (ed.), 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings. 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings, Institute of Electrical and Electronics Engineers Inc., 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022, Bogota, Colombia, 5/10/22. https://doi.org/10.1109/CONIITI57704.2022.9953637

Finite Element Model for the Analysis of Poisson Equation. / Palacios, Jazer Suarez; Gonzales, Albert Segundo; Roman Aleman, Arciniega.
2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings. ed. / Victor Manuel Fontalvo Morales. Institute of Electrical and Electronics Engineers Inc., 2022. (2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Finite Element Model for the Analysis of Poisson Equation

AU - Palacios, Jazer Suarez

AU - Gonzales, Albert Segundo

AU - Roman Aleman, Arciniega

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Cement-Based Materials

KW - Differential Equation

KW - Finite Element Method

KW - High Order Interpolation

KW - Micromechanics of Solids

KW - Poisson-Laplace

KW - Thermal Conductivity

UR - https://www.scopus.com/pages/publications/85175780250

U2 - 10.1109/CONIITI57704.2022.9953637

DO - 10.1109/CONIITI57704.2022.9953637

M3 - Contribución a la conferencia

AN - SCOPUS:85175780250

T3 - 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings

BT - 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings

A2 - Morales, Victor Manuel Fontalvo

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022

Y2 - 5 October 2022 through 7 October 2022

ER -

Palacios JS, Gonzales AS, Roman Aleman A. Finite Element Model for the Analysis of Poisson Equation. In Morales VMF, editor, 2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc. 2022. (2022 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2022 - Conference Proceedings). doi: 10.1109/CONIITI57704.2022.9953637

Finite Element Model for the Analysis of Poisson Equation

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

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