Analytical solutions for elastic buckling and post-buckling geometries are scarce. The present work presents such a solution sample geometry, initially planar, which buckles into complex 3D shape under tensile load. assumptions that the thickness is small, so flexural stiffness low compared to in-plane strain stiffness, hence can be considered inextensible. initial geometry composed of two disk...

An analytical solution is presented for a robust four-layer porous model for the description of the LDL transport in the arterial wall coupled with the transport in the lumen. The endothelium, intima, internal elastic lamina (IEL) and media are all treated as homogenous porous media and modeled using volume-averaged porous media transport equations. The analytical solution is derived based on c...