... elasticity nanorods potential energy functions shallow water equations shear modulus surface energy The understanding of the materials’ mechanical properties plays an essential role in the design and developments of ultrasmall structures and systems. Nowadays, due to increasing demand...

... interaction decelerates buckling of one wall at the expenses of accelerating the buckle of the other wall. 05 09 2009 20 01 2010 01 09 2010 01 09 2010 buckling carbon nanotubes compressive strength potential energy functions torsion van der Waals forces shell theory...

... mechanical stability micromechanics potential energy functions torsion shell theory carbon nanotube interatomic potential finite deformation instability There exist many atomistic studies of carbon nanotubes (CNTs) subject to tension, compression, and torsion ( 1 2 3 4 5 ). As a CNT...

.... The theory is used in Part II of this paper to study the instability of carbon nanotubes subjected to different loadings. 16 06 2007 10 05 2008 20 08 2008 bending carbon nanotubes chirality potential energy functions shell theory carbon nanotube interatomic potential finite...

... is a necessary condition for stability. By inserting ( 22 ) into the total potential energy functional ( 6 ), we deduce that V = V A i , where i = 1 , 2 , … , 8 . Naturally, finding an explicit form of the expression is a long-winded exercise so we turned...

... OF APPLIED MECHANICS . 15 March 2001 15 December 2001 20 06 2002 carbon nanotubes fracture mechanics nucleation potential energy functions nanotechnology eigenvalues and eigenfunctions bifurcation deformation mechanical strength mechanical stability Interest...