THERMAL EFFECTS ON THE STABILITY OF CIRCULAR GRAPHENE SHEETS VIA NONLOCAL CONTINUUM MECHANICS
Keywords:
BUCKLING, NONLOCAL PLATE MODEL, THERMAL ELASTICITY, CIRCULAR GRAPHENE SHEET, DECOUPLINGAbstract
RECENTLY, GRAPHENE SHEETS HAVE SHOWN SIGNIFICANT POTENTIAL FOR ENVIRONMENTAL ENGINEERING APPLICATIONS SUCH AS WASTEWATER TREATMENT. IN THIS PAPER, AN AXISYMMETRIC BUCKLING ANALYSIS OF CIRCULAR SINGLE-LAYERED GRAPHENE SHEETS (SLGS) IS PRESENTED BY DECOUPLING THE NONLOCAL CONSTITUTIVE EQUATIONS OF ERINGEN THEORY. THE INFLUENCES OF TEMPERATURE CHANGE AND NONLOCALITY ON THE BUCKLING RESPONSE ARE TAKEN INTO CONSIDERATION. SOLUTIONS FOR BUCKLING LOADS ARE COMPUTED USING GALERKIN METHOD. IT IS SHOWN THAT NONLOCAL EFFECTS PLAY AN IMPORTANT ROLE IN THE BUCKLING OF CIRCULAR NANOPLATES. THE EFFECTS OF THE SMALL SCALE ON THE BUCKLING LOADS CONSIDERING VARIOUS PARAMETERS SUCH AS THE RADIUS OF THE PLATE, RADIUS-TO-THICKNESS RATIO, TEMPERATURE CHANGE AND MODE NUMBERS ARE INVESTIGATED.
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