soil slopes are sometimes curved in plan rather than being straight. this curvature,especially when it is convex, decreases the bearing capacity of the slope. finite element methodhas been used here in this research to investigate the reducing effect of curvature on bearingcapacity of a slope. failure of soil has been assumed to be according to mohr-coulomb criteria;but the flow rule of the soi...

We derive a new set of equations to give successive positions of slowly moving and slowly turning curved shock front in a transonic flow. The equations are in conservation form two of these are kinematical conservation laws. keywords Curved shock propagation, shock dynamics, ray theory, transonic flow.

Highly curved bilayer lipid membranes make up the shell of many intra- and extracellular compartments, including organelles and vesicles. Using all-atom molecular dynamics simulations, we show that increasing the density of lipids in the bilayer membrane can induce the membrane to form a curved shape.

We describe a general family of curved-crease folding tessellations consisting of a repeating “lens” motif formed by two convex curved arcs. The third author invented the first such design in 1992, when he made both a sketch of the crease pattern and a vinyl model (pictured below). Curve fitting suggests that this initial design used circular arcs. We show that in fact the curve can be chosen t...

constant communication with an intelligence analyst at operations command, and receives orders through an earpiece to don chemical-protection equipment because of new chemical weapons threat intelligence in the area. The chemical-protection suit is similar to but weighs less than those in use today. Most importantly, because it encloses the soldier's head, the suit has an augmented hearing syst...

This article derives closed-form parametric formulas for the Minkowski sums of convex bodies in d-dimensional Euclidean space with boundaries that are smooth and have all positive sectional curvatures at every point. Under these conditions, there is a unique relationship between position each boundary point surface normal. The main results presented as two theorems. first theorem directly param...