Size-dependent Bending of Geometrically Nonlinear of Micro-Laminated Composite Beam based on Modified Couple Stress Theory
In this study, the effect of finite strain on bending of the geometrically nonlinear of micro laminated composite Euler-Bernoulli beam based on Modified Couple Stress Theory (MCST) is studied in thermal environment. The Green-Lagrange strain tensor according to finite strain assumption and the princ...
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| Format: | Article |
| Language: | English |
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Semnan University
2016-04-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_434_1d43fc7a8babba8d5b0f6e21d46e7bd6.pdf |
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| author | Ahmad-Reza Ghasemi Masood Mohandes |
| author_facet | Ahmad-Reza Ghasemi Masood Mohandes |
| author_sort | Ahmad-Reza Ghasemi |
| collection | DOAJ |
| description | In this study, the effect of finite strain on bending of the geometrically nonlinear of micro laminated composite Euler-Bernoulli beam based on Modified Couple Stress Theory (MCST) is studied in thermal environment. The Green-Lagrange strain tensor according to finite strain assumption and the principle of minimum potential energy is applied to obtain governing equation of motion and boundary conditions. The equation of motion with boundary conditions is solved using a generalized differential quadrature method and then, the deflection of the beam in classical elasticity and MCST states is drawn and compared with each other. Considering the bending of the beam, which has been made of carbon/epoxy and glass/epoxy materials specified, it can be seen there is a significant difference between the finite strain and von-Karman assumptions particularly for L =10 h. Also, the results show that the thermal loadings have a remarkable effect on the glass/epoxy beam based on the finite strain particularly for simply supported boundary condition. |
| format | Article |
| id | doaj-art-6c91f63e35534016b04266583698e403 |
| institution | OA Journals |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2016-04-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-6c91f63e35534016b04266583698e4032025-08-20T01:56:56ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432016-04-0131536210.22075/macs.2016.434434Size-dependent Bending of Geometrically Nonlinear of Micro-Laminated Composite Beam based on Modified Couple Stress TheoryAhmad-Reza Ghasemi0Masood Mohandes1University of KashanUniversity of KashanIn this study, the effect of finite strain on bending of the geometrically nonlinear of micro laminated composite Euler-Bernoulli beam based on Modified Couple Stress Theory (MCST) is studied in thermal environment. The Green-Lagrange strain tensor according to finite strain assumption and the principle of minimum potential energy is applied to obtain governing equation of motion and boundary conditions. The equation of motion with boundary conditions is solved using a generalized differential quadrature method and then, the deflection of the beam in classical elasticity and MCST states is drawn and compared with each other. Considering the bending of the beam, which has been made of carbon/epoxy and glass/epoxy materials specified, it can be seen there is a significant difference between the finite strain and von-Karman assumptions particularly for L =10 h. Also, the results show that the thermal loadings have a remarkable effect on the glass/epoxy beam based on the finite strain particularly for simply supported boundary condition.https://macs.semnan.ac.ir/article_434_1d43fc7a8babba8d5b0f6e21d46e7bd6.pdfsize-dependentfinite strainmodifided couple stress theorylaminated composite |
| spellingShingle | Ahmad-Reza Ghasemi Masood Mohandes Size-dependent Bending of Geometrically Nonlinear of Micro-Laminated Composite Beam based on Modified Couple Stress Theory Mechanics of Advanced Composite Structures size-dependent finite strain modifided couple stress theory laminated composite |
| title | Size-dependent Bending of Geometrically Nonlinear of Micro-Laminated Composite Beam based on Modified Couple Stress Theory |
| title_full | Size-dependent Bending of Geometrically Nonlinear of Micro-Laminated Composite Beam based on Modified Couple Stress Theory |
| title_fullStr | Size-dependent Bending of Geometrically Nonlinear of Micro-Laminated Composite Beam based on Modified Couple Stress Theory |
| title_full_unstemmed | Size-dependent Bending of Geometrically Nonlinear of Micro-Laminated Composite Beam based on Modified Couple Stress Theory |
| title_short | Size-dependent Bending of Geometrically Nonlinear of Micro-Laminated Composite Beam based on Modified Couple Stress Theory |
| title_sort | size dependent bending of geometrically nonlinear of micro laminated composite beam based on modified couple stress theory |
| topic | size-dependent finite strain modifided couple stress theory laminated composite |
| url | https://macs.semnan.ac.ir/article_434_1d43fc7a8babba8d5b0f6e21d46e7bd6.pdf |
| work_keys_str_mv | AT ahmadrezaghasemi sizedependentbendingofgeometricallynonlinearofmicrolaminatedcompositebeambasedonmodifiedcouplestresstheory AT masoodmohandes sizedependentbendingofgeometricallynonlinearofmicrolaminatedcompositebeambasedonmodifiedcouplestresstheory |