A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams
Bending analyses of isotropic, functionally graded, laminated composite, and sandwich beams are carried out using a quasi-3D polynomial shear and normal deformation theory. The most important feature of the proposed theory is that it considers the effects of transverse shear and transverse normal de...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Semnan University
2017-11-01
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| Series: | Mechanics of Advanced Composite Structures |
| Subjects: | |
| Online Access: | https://macs.semnan.ac.ir/article_2626_488a3f411d5b29fb979f66eeeb1624f9.pdf |
| _version_ | 1826930894222393344 |
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| author | Bharti Shinde Atteshamuddin Sayyad |
| author_facet | Bharti Shinde Atteshamuddin Sayyad |
| author_sort | Bharti Shinde |
| collection | DOAJ |
| description | Bending analyses of isotropic, functionally graded, laminated composite, and sandwich beams are carried out using a quasi-3D polynomial shear and normal deformation theory. The most important feature of the proposed theory is that it considers the effects of transverse shear and transverse normal deformations. It accounts for parabolic variations in the strain/stress produced by transverse shear and satisfies the transverse shear stress-free conditions on the top and bottom surfaces of a beam without the use of a shear correction factor. Variationally consistent governing differential equations and associated boundary conditions are obtained by using the principle of virtual work. Navier closed-form solutions are employed to obtain displacements and stresses for the simply supported beams, which are subjected to sinusoidal and uniformly distributed loads. Results are compared with those derived using other higher-order shear deformation theories. The comparison validates the accuracy and efficiency of the theory put forward in this work. |
| first_indexed | 2025-02-17T16:36:02Z |
| format | Article |
| id | doaj.art-44f982bc4ef04e1bab2a7af3a1c96e2c |
| institution | Directory Open Access Journal |
| issn | 2423-4826 2423-7043 |
| language | English |
| last_indexed | 2025-02-17T16:36:02Z |
| publishDate | 2017-11-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj.art-44f982bc4ef04e1bab2a7af3a1c96e2c2024-12-16T21:02:03ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432017-11-014213915210.22075/macs.2017.10806.11052626A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded BeamsBharti Shinde0Atteshamuddin Sayyad1Department of Civil Engineering, SRES’s Sanjivani College of Engineering, Savitribai Phule Pune University, Kopargaon-423603, Maharashtra, IndiaDepartment of Civil Engineering, SRES's College of Engineering, Savitribai Phule Pune University, Kopargaon,-423601Bending analyses of isotropic, functionally graded, laminated composite, and sandwich beams are carried out using a quasi-3D polynomial shear and normal deformation theory. The most important feature of the proposed theory is that it considers the effects of transverse shear and transverse normal deformations. It accounts for parabolic variations in the strain/stress produced by transverse shear and satisfies the transverse shear stress-free conditions on the top and bottom surfaces of a beam without the use of a shear correction factor. Variationally consistent governing differential equations and associated boundary conditions are obtained by using the principle of virtual work. Navier closed-form solutions are employed to obtain displacements and stresses for the simply supported beams, which are subjected to sinusoidal and uniformly distributed loads. Results are compared with those derived using other higher-order shear deformation theories. The comparison validates the accuracy and efficiency of the theory put forward in this work.https://macs.semnan.ac.ir/article_2626_488a3f411d5b29fb979f66eeeb1624f9.pdflaminatesandwichfunctionally gradedshear and normal deformation |
| spellingShingle | Bharti Shinde Atteshamuddin Sayyad A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams Mechanics of Advanced Composite Structures laminate sandwich functionally graded shear and normal deformation |
| title | A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams |
| title_full | A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams |
| title_fullStr | A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams |
| title_full_unstemmed | A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams |
| title_short | A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams |
| title_sort | quasi 3d polynomial shear and normal deformation theory for laminated composite sandwich and functionally graded beams |
| topic | laminate sandwich functionally graded shear and normal deformation |
| url | https://macs.semnan.ac.ir/article_2626_488a3f411d5b29fb979f66eeeb1624f9.pdf |
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