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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Format: | Article |
Language: | English |
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Wiley
2019-01-01
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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 |
id | doaj-art-96d3375060214b769c4a5a82415bf04b |
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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