Thermal Analysis of Laminated Composite and Sandwich Plate Using Layerwise Finite Element
Termička analiza laminatnih kompozitnih i sendvič ploča primenom slojevitog konačnog elementa
Apstrakt
In this paper the quasi static response of laminated composite and sandwich plates subjected to lineary varaying through the thickness and sinusoidall distributed in plane temperature field, is analyzed. Mathematical model, based on layer-wise displacement field of Reddy [15], is formulated using small deflection linear-elasticity theory. The principle of virtual displacements (PVD) is used to obtain the weak form of the mathematical model. The weak form is discretized utilizing isoparametric finite element approximation. The originally coded MATLAB program is used to investigate the influence of plate thickness on thermo-elastic response of laminate composite and sandwich plates. The accuracy of the numerical model is verified by comparison with the available results from the literature.
U ovom radu analiziran je kvazi statički odgovor laminatnih kompozitnih i sendvič ploča ploča izloženih temperaturnom polju linearno promenlivom po debljini i sinusoiudalno promenlijvom u ravni. Matematički model, zasnovan na slojevitom polju pomeranja koje je predložio Reddy [15], formulisan je koristeći pretpostavke o geometrijskoj, materijalnoj i statičkoj linearnosti problema. Princip virtulanih pomeranja je primenjen za dobijanje slabe forme matematičkog modela. Slaba forma je diskretizovana koristeći izoparametarsku aproksimaciju konačnim elementom. Originalan MATLAB računski program je korišćen za analizu uticaja razlicitih debljina ploče na termo-elastičan odgovor laminatnih kompozitnih i sendvič ploča. Tačnost numeričkog modela je potvrđena poređenjem sa rešenjima iz literature.
Ključne reči:
Thermal analysis / Layer wise plate model / Composite plates / Finite element / MATLAB programIzvor:
Proceedings / The 5th International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2014., 2014, 45-52Izdavač:
- University of Montenegro, Faculty of Civil Engineering
- Univerzitet Crne Gore, Građevinski fakultet
Finansiranje / projekti:
Kolekcije
Institucija/grupa
GraFarTY - CONF AU - Ćetković, Marina AU - Vuksanović, Đorđe PY - 2014 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1884 AB - In this paper the quasi static response of laminated composite and sandwich plates subjected to lineary varaying through the thickness and sinusoidall distributed in plane temperature field, is analyzed. Mathematical model, based on layer-wise displacement field of Reddy [15], is formulated using small deflection linear-elasticity theory. The principle of virtual displacements (PVD) is used to obtain the weak form of the mathematical model. The weak form is discretized utilizing isoparametric finite element approximation. The originally coded MATLAB program is used to investigate the influence of plate thickness on thermo-elastic response of laminate composite and sandwich plates. The accuracy of the numerical model is verified by comparison with the available results from the literature. AB - U ovom radu analiziran je kvazi statički odgovor laminatnih kompozitnih i sendvič ploča ploča izloženih temperaturnom polju linearno promenlivom po debljini i sinusoiudalno promenlijvom u ravni. Matematički model, zasnovan na slojevitom polju pomeranja koje je predložio Reddy [15], formulisan je koristeći pretpostavke o geometrijskoj, materijalnoj i statičkoj linearnosti problema. Princip virtulanih pomeranja je primenjen za dobijanje slabe forme matematičkog modela. Slaba forma je diskretizovana koristeći izoparametarsku aproksimaciju konačnim elementom. Originalan MATLAB računski program je korišćen za analizu uticaja razlicitih debljina ploče na termo-elastičan odgovor laminatnih kompozitnih i sendvič ploča. Tačnost numeričkog modela je potvrđena poređenjem sa rešenjima iz literature. PB - University of Montenegro, Faculty of Civil Engineering PB - Univerzitet Crne Gore, Građevinski fakultet C3 - Proceedings / The 5th International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2014. T1 - Thermal Analysis of Laminated Composite and Sandwich Plate Using Layerwise Finite Element T1 - Termička analiza laminatnih kompozitnih i sendvič ploča primenom slojevitog konačnog elementa EP - 52 SP - 45 UR - https://hdl.handle.net/21.15107/rcub_grafar_1884 ER -
@conference{ author = "Ćetković, Marina and Vuksanović, Đorđe", year = "2014", abstract = "In this paper the quasi static response of laminated composite and sandwich plates subjected to lineary varaying through the thickness and sinusoidall distributed in plane temperature field, is analyzed. Mathematical model, based on layer-wise displacement field of Reddy [15], is formulated using small deflection linear-elasticity theory. The principle of virtual displacements (PVD) is used to obtain the weak form of the mathematical model. The weak form is discretized utilizing isoparametric finite element approximation. The originally coded MATLAB program is used to investigate the influence of plate thickness on thermo-elastic response of laminate composite and sandwich plates. The accuracy of the numerical model is verified by comparison with the available results from the literature., U ovom radu analiziran je kvazi statički odgovor laminatnih kompozitnih i sendvič ploča ploča izloženih temperaturnom polju linearno promenlivom po debljini i sinusoiudalno promenlijvom u ravni. Matematički model, zasnovan na slojevitom polju pomeranja koje je predložio Reddy [15], formulisan je koristeći pretpostavke o geometrijskoj, materijalnoj i statičkoj linearnosti problema. Princip virtulanih pomeranja je primenjen za dobijanje slabe forme matematičkog modela. Slaba forma je diskretizovana koristeći izoparametarsku aproksimaciju konačnim elementom. Originalan MATLAB računski program je korišćen za analizu uticaja razlicitih debljina ploče na termo-elastičan odgovor laminatnih kompozitnih i sendvič ploča. Tačnost numeričkog modela je potvrđena poređenjem sa rešenjima iz literature.", publisher = "University of Montenegro, Faculty of Civil Engineering, Univerzitet Crne Gore, Građevinski fakultet", journal = "Proceedings / The 5th International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2014.", title = "Thermal Analysis of Laminated Composite and Sandwich Plate Using Layerwise Finite Element, Termička analiza laminatnih kompozitnih i sendvič ploča primenom slojevitog konačnog elementa", pages = "52-45", url = "https://hdl.handle.net/21.15107/rcub_grafar_1884" }
Ćetković, M.,& Vuksanović, Đ.. (2014). Thermal Analysis of Laminated Composite and Sandwich Plate Using Layerwise Finite Element. in Proceedings / The 5th International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2014. University of Montenegro, Faculty of Civil Engineering., 45-52. https://hdl.handle.net/21.15107/rcub_grafar_1884
Ćetković M, Vuksanović Đ. Thermal Analysis of Laminated Composite and Sandwich Plate Using Layerwise Finite Element. in Proceedings / The 5th International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2014.. 2014;:45-52. https://hdl.handle.net/21.15107/rcub_grafar_1884 .
Ćetković, Marina, Vuksanović, Đorđe, "Thermal Analysis of Laminated Composite and Sandwich Plate Using Layerwise Finite Element" in Proceedings / The 5th International Conference Civil Engineering - Science & Practice, Žabljak, Montenegro, 2014. (2014):45-52, https://hdl.handle.net/21.15107/rcub_grafar_1884 .