Growth-induced instabilities are ubiquitous in biological systems and lead to diverse morphologies the form of wrinkling, folding, creasing. The current work focusses on mechanics behind growth-induced wrinkling an incompressible annular hyperelastic plate. governing differential equations for a two-dimensional plate system derived using variational principle with no apriori kinematic assumptio...

Wrinkling of an inextensible elastic lining inner-lined tube under imposed pressure is considered. A simple equation modeling the properties lining, pressure, and soft-substrate forces derived. This aims to capture wrinkling response arterial endothelium blood changes. Numerical continuation used construct a bifurcation diagram as function for in-plane deformations, in excellent agreement with ...

With the thickness of only a single atomic layer, graphene displays many interesting surface properties. A general observation is that wrinkles are formed on graphene oxide (GO) when it is dried in the presence of adsorbed inorganic nanoparticles. In this case, evaporation induced wrinkling is not an elastic deformation but is permanent. Understanding the nanoscale force of wrinkle formation is...

We study the fully nonlinear, nonlocal dynamics of two-dimensional vesicles in a time-dependent, incompressible viscous flow at finite temperature. We focus on a transient instability that can be observed when the direction of applied flow is suddenly reversed, which induces compressive forces on the vesicle interface, and small-scale interface perturbations known as wrinkles develop. These wri...

The beam on elastic foundation is a general model used in physical, biological, and technological problems to study delamination, wrinkling, or pattern formation. Recent focus has been given to the buckling of beams deposited on liquid baths, and in the regime where the beam is soft compared to hydrostatic forces the wrinkling pattern observed at buckling has been shown to lead to localization ...

The buckling of elastic bodies is a common phenomenon in the mechanics of solids. Wrinkling of membranes can often be interpreted as buckling under constraints that prohibit large-amplitude deformation. We present a combination of analytic calculations, experiments, and simulations to understand wrinkling patterns generated in a bilayer membrane. The model membrane is composed of a flexible sph...

Based on the adaptive Dynamic Relaxation (aDR) method, a modified adaptive Dynamic Relaxation (maDR) method is proposed which is more efficient than the former in solving non-linear problems. It is then applied to analysing the elastic-plastic bending of circular plates in large deflection and their following wrinkling, and leads to satisfactory results compared with corresponding experimental ...

In recent years asymmetric cross section aluminum alloy stock has been finding increasing use in various industrial manufacturing areas such as general structures and automotive components. In these areas, components are generally required to have complex curved configuration and, as such, a bending process is required during manufacture. Undesirable deformation in bending processes such as fla...