بررﺳﯽ ﮐﻤﺎﻧﺶ ﻣﯿﮑﺮو-ورق ﺗﻘﻮﯾﺖ ﺷﺪه ﺑﺎ ﮔﺮاﻓﻦ ﺑﺎ ﻻﯾﻪﻫﺎي ﭘﯿﺰواﻟﮑﺘﺮﯾﮏ

Buckling analysis of micro-plates reinforced with graphene platelets with piezoelectric face-sheets

در اﯾﻦ ﻣﻘﺎﻟﻪ ﮐﻤﺎﻧﺶ ﻣﯿﮑﺮو-ورق ﻣﺪرج ﺗﺎﺑﻌﯽ ﺗﻘﻮﯾﺖ ﺷﺪه ﺑﺎ ﺻﻔﺤﺎت ﮐﻮﭼﮏ ﮔﺮاﻓﻦ ﺑﺎ ﻻﯾﻪ ﻫﺎي ﭘﯿﺰواﻟﮑﺘﺮﯾﮏ ﺑﺮ اﺳﺎس ﺗﺌﻮري ﺗﻨﺶ ﮐﻮﭘﻞ اﺻﻼح ﺷﺪه ﻣﻮرد ﺑﺮرﺳﯽ ﻗﺮار ﻣﯽﮔﯿﺮد. ﺗﻐﯿﯿﺮات درﺟﻪ ﺣﺮارت ﺑﻪ ﺻﻮرت ﯾﮑﻨﻮاﺧﺖ و ﻣﯿﺪان اﻟﮑﺘﺮﯾﮑﯽ ﺧﺎرﺟﯽ ﺛﺎﺑﺘﯽ در راﺳﺘﺎي ﺿﺨﺎﻣﺖ، ﺑﺮ ﻣﯿﮑﺮو-ورق اﻋﻤﺎل ﺷﺪه اﺳﺖ. ﻧﯿﺮوي ﻣﮑﺎﻧﯿﮑﯽ درون ﺻﻔﺤﻪاي ﺧﺎرﺟﯽ ﺑﻪ ﺻﻮرت ﯾﮑﻨﻮاﺧﺖ ﺑﺮ روي ﻟﺒﻪ ﻫﺎي ﻣﯿﮑﺮو-ورق ﺗﻮزﯾﻊ ﺷﺪه اﺳﺖ. ﺧﻮاص ﻫﺮ ﻻﯾﻪ ﮐﺎﻣﭙﻮزﯾﺖ ﺗﻘﻮﯾﺖ ﺷﺪه ﺑﺎ ﺻﻔﺤﺎت ﮐﻮﭼﮏ ﮔﺮاﻓﻦ، ﺑﺎ اﺳﺘﻔﺎده از ﻣﺪل ﻣﯿﮑﺮوﻣﮑﺎﻧﯿﮑﯽ ﻫﺎﻟﭙﯿﻦ-ﺗﺴﺎي ﻣﺤﺎﺳﺒﻪ ﮔﺮدﯾﺪه اﺳﺖ. اﺛﺮ ﭘﺎراﻣﺘﺮﻫﺎي ﻣﺨﺘﻠﻒ ﻫﻨﺪﺳﯽ و ﮐﺴﺮ وزﻧﯽ ﮔﺮاﻓﻦ ﺑﺮ ﮐﻤﺎﻧﺶ ﻣﯿﮑﺮو-ورق ﻣﺪل ﺷﺪه ﻣﻮرد ﺑﺮرﺳﯽ ﻗﺮار ﮔﺮﻓﺘﻪ اﺳﺖ.

In this study, buckling analysis of functionally graded micro plates reinforced with graphene platelets integrated with piezoelectric layers, is investigated. Governing equations are derived based on the modified couple stress theory employing the Hamilton’s principle. A uniform temperature change and a constant external electric field along thickness are applied to the micro plate. An external uniform in-plane mechanical load is distributed along the micro plate edges. The Halpin–Tsai micromechanical model is utilized to evaluate the material properties of each composite layer reinforced with graphene platelets in the micro plate. The effects of the material length scale parameter, the external applied voltage, the thickness of the piezoelectric layers, and the weight fraction of the graphene platelets as well as the graphene platelets distribution pattern on the critical buckling temperature change and the critical buckling in-plane load are investigated. The reinforcing effect leads to a reduction in thermal buckling strength and a growth in mechanical load carrying potential.