We extend recent studies of the minimal energy packings of short flexible polymers with hard-core-like repulsions and short-range attractions to include bond-angle interactions with the aim of describing the collapsed conformations of "colloidal" polymers. We find that flexible tangent sticky-hard-sphere (t-SHS) packings provide a useful perturbative basis for analyzing polymer packings with no...

In this chapter, we extend the first-order NOM to higher order by using a Taylor series expansion. The is special case of NOM. can be derived two methods, one weighted expansion, and other minimization operator energy functional for For quadratic functional, residual, tangent stiffness matrix nonlocal strong form. section on numerical examples, applied current method problems formulated form we...

We propose a geometrically nonlinear extended isogeometric analysis approach for cohesive fracture. A shifting technique is used to enforce compatibility in the direction perpendicular crack path, while blending has been adopted remove effect of discontinuity extension crack. Bézier extraction employed cast formulation finite element datastructure. The use sign function instead Heaviside step r...

PURPOSE To investigate the relationship between scleral mechanical properties, its birefringence, and the anisotropy of birefringence alteration in respect of the direction of the strain by using PS-OCT. METHODS The scleral birefringence of thirty-nine porcine eyes was measured with a prototype PS-OCT. A rectangle strip of sclera with a width of 4 mm was dissected at the temporal region 5 mm ...

PURPOSE To investigate the age-related differences in the inhomogeneous, anisotropic, nonlinear biomechanical properties of posterior sclera from old (22.9 +/- 5.3 years) and young (1.5 +/- 0.7 years) rhesus monkeys. METHODS The posterior scleral shell of each eye was mounted on a custom-built pressurization apparatus, then intraocular pressure (IOP) was elevated from 5 to 45 mm Hg while the ...

We define rectifiability in \(\mathbb{R}^{n}\times\mathbb{R}\) with a parabolic metric terms of \(C^1\) graphs and Lipschitz small constants we characterize it approximate tangent planes measures. also discuss relations between the other notions rectifiability.

The reorientation dynamics of local tangent vectors of chains in isotropic amorphous melts containing semiflexible model polymers was studied by molecular dynamics simulations. The reorientation is strongly influenced both by the local chain stiffness and by the overall chain length. It takes place by two different subsequent processes: A shorttime non-exponential decay and a long-time exponent...

In this paper, we first present a new important property for Bouligand tangent cone (contingent cone) of a star-shaped set. We then establish optimality conditions for Pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of Bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.