We consider a shell-like three-dimensional nonlinearly hyperelastic body and we let its thickness go to zero. We show, under appropriate hypotheses on the applied loads, that the deformations that minimize the total energy weakly converge in a Sobolev space toward deformations that minimize a nonlinear shell membrane energy. The nonlinear shell membrane energy is obtained by computing the Γ-lim...

In this paper an optimization problem for a cylindrical shell under an applied dynamical loading is discussed. The aim is to look for an optimal thickness of a shell to minimize the deformation when the shell is subject to an external timedependent force together with an initial impact. The volume of the shell has to stay constant during optimization. A model for the deflection is derived and a...

In this paper we present methods to generate and animate shells with a pre-defined thickness. Given a polygonal surface mesh, a thick shell is constructed by computing a second, extruded polygonal surface. We introduce methods to simulate deformation and fracture of thick shells in realtime. Mass-spring models are used in this context. A novel simulation framework to generate, animate and inter...

We have developed a convenient strategy for preparing color-tunable fluorescent-magnetic core/shell multifunctional nanocrystals, which exhibit excellent photoluminescence (PL) properties (fluorescing tunably from 550 nm to 630 nm by modifying the shell thickness) and ferromagnetic material properties (a magnetization of 4.4 emu g(-1) and a coercivity of 95 Oe).

In order to overcome the brittleness of polylactide (PLA), reactive core-shell particles (RCS) with polybutadiene as core and methyl methacrylate-co-styrene-co-glycidyl methacrylate as shell were prepared to toughen PLA. Tert-dodecyl mercaptan (TDDM) was used as chain transfer agent to modify the grafting properties (such as grafting degree, shell thickness, internal and external grafting) of t...

The growth of heteroepitaxially strained semiconductors at the nanoscale enables tailoring of material properties for enhanced device performance. For core/shell nanowires (NWs), theoretical predictions of the coherency limits and the implications they carry remain uncertain without proper identification of the mechanisms by which strains relax. We present here for the Ge/Si core/shell NW syste...

We present an analysis for a mixed finite element method for the bending problem of Koiter shell. We derive an error estimate showing that when the geometrical coefficients of the shell mid-surface satisfy certain conditions the finite element method has the optimal order of accuracy, which is uniform with respect to the shell thickness. Generally, the error estimate shows how the accuracy is a...

A commercial egg-type chicken (ISA Brown; CEC) and a dual-purpose pure breed of the Korean Native Chicken (KNC) were compared for yolk to albumen (Y:A) ratio and their major egg characteristics at seven different ages. The eggs from KNC were significantly (P < 0.01) lighter in egg, albumen, and shell weight than those from CEC. However, the yolk weight and Y:A ratio of the eggs from KNC were si...

background: old laying hens are more prone to dietary calcium (ca) and phosphorus (p) deficiencies as  they absorb ca and p less efficiently than younger hens. objectives: in a 2×2 factorial design, the influence of diets with two levels of available phosphorus (ap) and phytase enzyme on the laying performance, egg quality and tibia bone characteristics of laying hens at their late 2nd producti...

A 2 × 2 factorial design experiment examined the effect of dietary non-phytate phosphorus (NPP) (1.3 and 4.0 g/kg) and 3-phytase (F) (0 and 150 FTU/kg) on the performance indicators of hens, physical parameters of eggs, phosphorus (P) content of the eggshells, and the pH of the digestive tract of laying hens. Two hundred and forty hens (ISA Brown) were housed in enriched cages and fed a wheat-m...