Individual multiwalled carbon nanotubes with a range of aspect ratios are subjected to cyclic axial compression to large strains using atomic force microscopy. Distinct elastic buckling and post-buckling phenomena are observed reproducibly and are ascribed to Euler, asymmetric shell buckling (i.e., kinking), and symmetric shell buckling. These show agreement with continuum theories that range f...

In the present work, study of the vibration of a functionally graded (FG) cylindrical shell made up of stainless steel, zirconia, and nickel is presented. Free vibration analysis is presented for FG cylindrical shells with simply supported-simply supported and clamped–clamped boundary condition based on temperature independent material properties. The equations of motion are derived by Hamilton...

Rotation tensors play a pre dominant role in many engineering applications. They exhibit a pronounced multiplicative structure, the various aspects of which must be dealt with carefully in order to arrive at a numerically efficient and physically sound treatment. A method of multiplicative updating of rotations in the frame of finite element analysis of rods was suggested by Simo and Vu-Quoc wh...

We clarify the physical origin of the difference between gauge properties of conserved currents in abelian and nonabelian theories. In the latter, but not in the former, such currents can always be written on shell as gauge invariants modulo identically conserved, superpotential, terms. For the “isotopic” vector and the stress tensor currents of spins 1 and 2 respectively, we explain this diffe...

Theories of Computer Sciences & Engineering nowadays are being only read than being designed and practiced. Hence in this paper and [8] we have featured the theories and practices relying beneath popular sorting algorithms and their performance measurement in our experiments for the realization of efficiency class. Further we have concentrated on finding the Asymptotic Behavior Range for the tw...

The consistent description of unstable particles, renormalons, or other Schwinger–Dysontype of solutions within the framework of perturbative gauge field theories necessitates the definition and resummation of off-shell Green’s functions, which must respect several crucial physical requirements. A formalism is presented for resummation of off-shell twopoint correlation functions, which is mainl...