This paper reviews recent progress in understanding phenomena such as crumpling, in
which elastic membranes or sheets subject to structureless forces develop sharply curved …

This survey article reviews the theory and application of homoclinic orbits to equilibria in
reversible continuous-time dynamical systems, where the homoclinic orbit and the …

A long structural system with an unstable (subcritical) post-buckling response that
subsequently restabilizes typically deformsin a cellular manner, with localized buckles first …

This paper investigates the buckling behavior of graphene platelets (GPL) reinforced
composite cylindrical shells with cutouts via finite element method (FEM) simulation. Young's …

The elastic buckling of shell structures such as spherical shells subject to external pressure
and cylindrical shells loaded in axial compression is highly sensitive to imperfections and …

In a recent feature article in this journal, coauthored by Gert van der Heijden, I described the
static-dynamic analogy and its role in understanding the localized post-buckling of shell-like …

As an expert in structure and stress analysis, the author has written extensively on
functionally graded materials (FGMs), nonlinear vibration and dynamic response of …

Heuristic studies of a strut on an elastic foundation and a strut with a sinusoidally varying
load are extended to include initial geometric imperfections. Examination of various shapes …

We revisit the classical problem of the buckling of a long thin axially compressed cylindrical
shell. By examining the energy landscape of the perfect cylinder, we deduce an estimate of …

Continuum mechanics is extended to the Nonlocal (NL) and the Strain Gradient (SG)
theories by incorporating the long-range molecular interactions. Nanostructures are often …