Displacement mapping is commonly used for adding surface details to an object. In this paper, we outline a generalized notion of displacement mapping, which allows for unconventional features such as unorthogonal and discontinuous displacement. By lifting the restriction on the geometric properties of the displacement, we can generate many different special effects including peeling, cutting an...

We present a table driven approach to performing Catmull-Clark subdivision in parallel utilizing one thread per output mesh vertex. We apply the procedure one or two times in order to isolate extraordinary vertices and simplify the input patch structures consumed by the hardware unit responsible for adaptive tessellation. From this simplified mesh, we evaluate the performance Stam’s direct eval...

For the isotropic stationary Lamé system with variable coefficients equipped with Dirichlet or surface stress boundary condition, we obtain a Carleman estimate such that (i) the right hand side is estimated in a weighted L2-space and (ii) the estimate includes nonhomogeneous surface displacement or surface stress. Using this estimate we establish the conditional stability in Sobolev’s norm of t...

this work reports the effect of nanotube aspect ratio and waviness index on stress and displacement distributions of functionally graded nanocomposite cylinders reinforced by wavy single walled carbon nanotubes based on a mesh-free method. the mechanical properties of these composites are assumed to be graded along radial direction and estimate by a micro mechanical model. in the mesh-free anal...

Mesh-free approximation is used in numerical simulations of strain localization under large deformation. An explicit displacement based mesh-free formulation is used in both two-dimensional and three-dimensional computations. The spatial isotropy of mesh-free interpolant is demonstrated through the numerical example to show that mesh-free methods possess certain ``mesh objectivity'' that allevi...

Recently, efforts have been made by Kristek et al.(2002) toward the implementation of a zero-traction boundary condition for an elastic medium by using high-order staggered-grid finite-difference modeling and avoiding symmetry conditions, vacuum formulations, or, other approaches that require grid points located beyond the physical boundary (ghost points). In this work, a new set of numerical d...

Comparative experiments were conducted between uniform and non-uniform stepped spillway profiles in a large-size laboratory facility. For each stepped configuration, the air concentration distributions matched the advective diffusion equation and the interfacial velocity was well correlated with a power law. A comparison of the air-water flow properties showed small differences in terms of numb...

In recent years, computational structural analyses have emerged as important tools to investigate the mechanical response of stent placement into arterial walls. Although most coronary stents are expanded by inflating a polymeric balloon, realistic computational balloon models have been introduced only recently. In the present study, the finite element method is applied to simulate three differ...