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At first, the initial shape imperfections are modeled using the buckling mode shapes resulting from an eigenvalue buckling analysis.
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The proposed theoretical model is used to study the effect of the material length factor ς on the buckling mode transition force P and highest achievable buckling mode of the irregularly constrained micro-films.
The second order effects are calculated using orthogonality properties of the buckling modes.
Bay length greatly influences the buckling mode.
Longer bay length could change the buckling mode from global buckling or shell-like buckling directly to mono-cell buckling.
And the buckling mode of the arch would then be changed from asymmetric bifurcation buckling to asymmetric bifurcation buckling after the occurrence of snap-through buckling.
Either SW or SV defects reduce the buckling mode of SWCNT.
Both SW and SV defects decrease the buckling mode of SWCNT.
Location of defects affects the buckling mode, whereas defects' type and size govern the critical buckling force and strain of SWCNT.
The second imperfection is purely geometrical, in the form of a small initial buckle similar to the buckling mode, at the yz-symmetry plane across the width of one film strip.
The imperfection similar to the buckling mode is more critical than the one with the initially debonded area, because it leads to earlier buckling with the same interface properties.
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