Probability of Exceeding Damage States in Plates Using BEM

An approach to obtain fragility curves taking into account the formulation for shear deformable plate theory with combined geometric and material nonlinearities and the boundary element method is proposed. It is assumed that the material undergoes large deflection with small strains. The von Mises y...

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Main Authors: Ernesto Pineda-León, José Manuel Rosales-Juárez, Dante Tolentino, Orlando Susarrey-Huerta
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2019/1354065
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author Ernesto Pineda-León
José Manuel Rosales-Juárez
Dante Tolentino
Orlando Susarrey-Huerta
author_facet Ernesto Pineda-León
José Manuel Rosales-Juárez
Dante Tolentino
Orlando Susarrey-Huerta
author_sort Ernesto Pineda-León
collection DOAJ
description An approach to obtain fragility curves taking into account the formulation for shear deformable plate theory with combined geometric and material nonlinearities and the boundary element method is proposed. It is assumed that the material undergoes large deflection with small strains. The von Mises yield criterion is used to evaluate the plastic zone and is supposed to have elastic-perfectly plastic material behaviour. An initial stress formulation is used to formulate the boundary integral equations. The domain integrals are evaluated using a cell discretization technique. A total incremental method is applied to solve the nonlinear boundary integral equations. The approach is illustrated in a plate subjected to incremental load. The uncertainties in both geometric and mechanical properties are considered in order to obtain the structural response. Results show that there are high probabilities of exceeding the damage state, d, equal to 0.05 while for the rest of the values of d, these probabilities are low.
format Article
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institution Kabale University
issn 1687-8434
1687-8442
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Advances in Materials Science and Engineering
spelling doaj-art-96d3375060214b769c4a5a82415bf04b2025-02-03T06:07:46ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422019-01-01201910.1155/2019/13540651354065Probability of Exceeding Damage States in Plates Using BEMErnesto Pineda-León0José Manuel Rosales-Juárez1Dante Tolentino2Orlando Susarrey-Huerta3Sección de Estudios de Posgrado e Investigación, ESIA Zacatenco, Instituto Politécnico Nacional, Mexico City, MexicoSección de Estudios de Posgrado e Investigación, ESIME Zacatenco, Instituto Politécnico Nacional, Mexico City, MexicoDepartamento de Materiales, Universidad Autónoma Metropolitana, Mexico City, MexicoSección de Estudios de Posgrado e Investigación, ESIME Zacatenco, Instituto Politécnico Nacional, Mexico City, MexicoAn approach to obtain fragility curves taking into account the formulation for shear deformable plate theory with combined geometric and material nonlinearities and the boundary element method is proposed. It is assumed that the material undergoes large deflection with small strains. The von Mises yield criterion is used to evaluate the plastic zone and is supposed to have elastic-perfectly plastic material behaviour. An initial stress formulation is used to formulate the boundary integral equations. The domain integrals are evaluated using a cell discretization technique. A total incremental method is applied to solve the nonlinear boundary integral equations. The approach is illustrated in a plate subjected to incremental load. The uncertainties in both geometric and mechanical properties are considered in order to obtain the structural response. Results show that there are high probabilities of exceeding the damage state, d, equal to 0.05 while for the rest of the values of d, these probabilities are low.http://dx.doi.org/10.1155/2019/1354065
spellingShingle Ernesto Pineda-León
José Manuel Rosales-Juárez
Dante Tolentino
Orlando Susarrey-Huerta
Probability of Exceeding Damage States in Plates Using BEM
Advances in Materials Science and Engineering
title Probability of Exceeding Damage States in Plates Using BEM
title_full Probability of Exceeding Damage States in Plates Using BEM
title_fullStr Probability of Exceeding Damage States in Plates Using BEM
title_full_unstemmed Probability of Exceeding Damage States in Plates Using BEM
title_short Probability of Exceeding Damage States in Plates Using BEM
title_sort probability of exceeding damage states in plates using bem
url http://dx.doi.org/10.1155/2019/1354065
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