Research on Fuzzy Plastic Constitutive Model Based on Membership Function

Soil has no obvious yield point, and the classical elastoplastic theory contradicts the uncertainty of the plastic yield point of the soil. Therefore, a fuzzy plastic Cambridge model based on the membership function was designed by combining the fuzzy mathematics with the Cambridge model. This model...

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Autores principales:	Xigang Wang, Liling Jin, Mingfu Fu
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/3a51cbab810d4f709b01c9d8caee2476
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id	oai:doaj.org-article:3a51cbab810d4f709b01c9d8caee2476
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spelling	oai:doaj.org-article:3a51cbab810d4f709b01c9d8caee24762021-11-15T01:19:43ZResearch on Fuzzy Plastic Constitutive Model Based on Membership Function1563-514710.1155/2021/9901948https://doaj.org/article/3a51cbab810d4f709b01c9d8caee24762021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9901948https://doaj.org/toc/1563-5147Soil has no obvious yield point, and the classical elastoplastic theory contradicts the uncertainty of the plastic yield point of the soil. Therefore, a fuzzy plastic Cambridge model based on the membership function was designed by combining the fuzzy mathematics with the Cambridge model. This model made the plastic membership function to correspond with the fuzzy yield function. The plastic strain at any stress state was calculated using the fuzzy Cambridge model and was compared with the indoor triaxial test results, and they were in good agreement. Therefore, it is appropriate to use fuzzy mathematics to express the unobvious soil yield property. The characteristics of soil yield in any stress state is reflected by the fuzzy plastic theory, which indicates that there is entirely no elasticity at any stress state. Moreover, the varying degrees of plasticity and the degree of plastic yield were uniquely determined by the plastic membership function. The fuzzy plastic model used the membership function change to replace the complex hardening. Additionally, the cyclic loading path was clear and appropriate for the cyclic loading and unloading calculations.Xigang WangLiling JinMingfu FuHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Xigang Wang Liling Jin Mingfu Fu Research on Fuzzy Plastic Constitutive Model Based on Membership Function
description	Soil has no obvious yield point, and the classical elastoplastic theory contradicts the uncertainty of the plastic yield point of the soil. Therefore, a fuzzy plastic Cambridge model based on the membership function was designed by combining the fuzzy mathematics with the Cambridge model. This model made the plastic membership function to correspond with the fuzzy yield function. The plastic strain at any stress state was calculated using the fuzzy Cambridge model and was compared with the indoor triaxial test results, and they were in good agreement. Therefore, it is appropriate to use fuzzy mathematics to express the unobvious soil yield property. The characteristics of soil yield in any stress state is reflected by the fuzzy plastic theory, which indicates that there is entirely no elasticity at any stress state. Moreover, the varying degrees of plasticity and the degree of plastic yield were uniquely determined by the plastic membership function. The fuzzy plastic model used the membership function change to replace the complex hardening. Additionally, the cyclic loading path was clear and appropriate for the cyclic loading and unloading calculations.
format	article
author	Xigang Wang Liling Jin Mingfu Fu
author_facet	Xigang Wang Liling Jin Mingfu Fu
author_sort	Xigang Wang
title	Research on Fuzzy Plastic Constitutive Model Based on Membership Function
title_short	Research on Fuzzy Plastic Constitutive Model Based on Membership Function
title_full	Research on Fuzzy Plastic Constitutive Model Based on Membership Function
title_fullStr	Research on Fuzzy Plastic Constitutive Model Based on Membership Function
title_full_unstemmed	Research on Fuzzy Plastic Constitutive Model Based on Membership Function
title_sort	research on fuzzy plastic constitutive model based on membership function
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/3a51cbab810d4f709b01c9d8caee2476
work_keys_str_mv	AT xigangwang researchonfuzzyplasticconstitutivemodelbasedonmembershipfunction AT lilingjin researchonfuzzyplasticconstitutivemodelbasedonmembershipfunction AT mingfufu researchonfuzzyplasticconstitutivemodelbasedonmembershipfunction
_version_	1718428916326072320

Research on Fuzzy Plastic Constitutive Model Based on Membership Function

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