A limited memory algorithm for bound constrained optimization
SIAM Journal on Scientific Computing
A virtual test facility for simulating detonation-induced fracture of thin flexible shells
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
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A reduced-order general continuum method is used to examine the mechanical behavior of single-walled carbon nanotubes (CNTs) under compressive loading and unloading conditions. Quasi-static solutions are sought where the total energy of the system is minimized with respect to the spatial degree of freedom. We provide detailed buckled configurations for four different types of CNTs and show that, among the cases studied, the armchair CNT has the strongest resistance to the compressive loading. It is also shown that the buckled CNT will significantly lose its structural strength with the zigzag lattice structure. The unloading post-buckling of CNT demonstrates that even after the occurrence of buckling the CNT can still return to its original state making its use desirable in fields such as synthetic biomaterials, electromagnetic devices, or polymer composites.