EFFECT OF SURFACE STRESS ON THE BUCKLING OF NONLOCAL NANOPLATES SUBJECT TO MATERIAL UNCERTAINTY
Keywords:
NANOPLATES, SURFACE STRESS, BUCKLING, MATERIAL UNCERTAINTY, NONLOCAL THEORY, SENSITIVITY ANALYSIS.Abstract
AT THE NANO SCALE, THE EFFECT OF SURFACE STRESS BECOMES PROMINENT AS WELL AS THE SO-CALLED SMALL SCALE EFFECT. FURTHER COMPLICATING THE PHENOMENON IS THE UNCERTAINTY INVOLVED IN THE DETERMINATION OF THE MATERIAL PROPERTIES OF NANO STRUCTURES DUE TO DIFFICULTIES IN MAKING ACCURATE MEASUREMENTS AT NANO SCALE AND ALSO DUE TO MOLECULAR DEFECTS AND MANUFACTURING TOLERANCES. THIS INTRODUCES SOME DEGREE OF UNCERTAINTY IN THE COMPUTATION OF THE MECHANICAL RESPONSE OF THE NANO-SCALE COMPONENTS. IN THE PRESENT STUDY A CONVEX MODEL IS EMPLOYED TO TAKE SURFACE TENSION, SMALL SCALE PARAMETER AND THE ELASTIC CONSTANTS AS UNCERTAIN-BUT-BOUNDED QUANTITIES IN THE BUCKLING ANALYSIS OF NANOPLATES. THE OBJECTIVE IS TO DETERMINE THE LOWEST BUCKLING LOAD FOR A GIVEN LEVEL OF UNCERTAINTY TO OBTAIN A CONSERVATIVE ESTIMATE BY TAKING THE WORST-CASE VARIATIONS OF MATERIAL PROPERTIES. MOREOVER THE SENSITIVITY OF THE BUCKLING LOAD TO MATERIAL UNCERTAINTIES IS ALSO INVESTIGATED.
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