the present paper is devoted to a new critical state based plasticity model able to predict drained and undrained behaviour of granular material. it incorporates a bounding surface plasticity model describing in multilaminate framework to capitalize on advantages of this mathematical framework. most of the models developed using stress/strain invariants are not capable of identifying the parame...

A simple constitutive model for the inelastic response of steel under monotonic and random cyclic loading conditions is developed within the framework of bounding surface plasticity. The particular feature that distinguishes this model from other similar ones is the ability of the bounding surface formulation to describe in a very simple way the initial “plateau” type of perfectly plastic respo...

We present a novel, compact bounding volume hierarchy, TSS BVH, for ray tracing subdivision surfaces computed by the Catmull-Clark scheme. We use Tetrahedron Swept Sphere (TSS) as a bounding volume to tightly bound limit surfaces of such subdivision surfaces given a user tolerance. Geometric coordinates defining our TSS bounding volumes are implicitly computed from the subdivided mesh via a sim...

In this paper, the physical optics method is used to study the problem of electromagnetic scattering from Haack series nose cone. First, a meshing scheme is introduced which approximates the curvature of the surface by piecewise linear functions in both axial and rotational directions. This results in planar quadrilateral patches and enables efficient determination of the illuminated region and...

This paper studies the effect of flexible linear torso on the dynamics of passive quadruped bounding. A reduced-order passive and conservative model with linear flexible torso and springy legs is introduced. The model features extensive spine deformation during high-speed bounding, resembling those observed in a cheetah. Fixed points corresponding to cyclic bounding motions are found and calcul...

The rendering of an implicit surface requires many function evaluations of the underlying implicit function. The time efficiency of the rendering is dominated by the number of function evaluations times the efficiency of these evaluations. If the implicit surface is created by means of a CSG model the function evaluations can be made more efficient if the underlying function is a Lipschitz func...

A new, continuous stress direction dependent plastic potential is proposed for the stress strain behaviour of soils. The resulting flow rule is incorporated into a bounding surface plasticity model within a critical state framework. The hypoplastic bounding surface model thus formulated is employed to predict both the compression and shearing behaviour of soil for various stress paths in the p′...

We present a new acceleration structure for ray tracing called the Split Grid. Combining concepts of hierarchical grids, kd-trees and Bounding Volume Hierarchies (BVHs), our approach is based on the idea of nesting 1D-grids. Our proposed acceleration structure is compact in storage, adaptive to the scene geometry and can be traversed using a fast and efficient traversal scheme. We show that the...