Displaying similar documents to “Modeling, description, and characterization of fractal pore via mathematical morphology.”

On a computational approach to multiple contacts / impacts of elastic bodies

Vala, Jiří, Rek, Václav

Similarity:

The analysis of dynamic contacts/impacts of several deformable bodies belongs to both theoretically and computationally complicated problems, because of the presence of unpleasant nonlinearities and of the need of effective contact detection. This paper sketches how such difficulties can be overcome, at least for a model problem with several elastic bodies, using i) the explicit time-discretization scheme and ii) the finite element technique adopted to contact evaluations together with...

A general on-the-fly algorithm for modifying the kinematic tree hierarchy

Jakub Stępień, Andrzej Polański, Konrad Wojciechowski (2012)

International Journal of Applied Mathematics and Computer Science

Similarity:

When conducting a dynamic simulation of a multibody mechanical system, the model definition may need to be altered during the simulation course due to, e.g., changes in the way the system interacts with external objects. In this paper, we propose a general procedure for modifying simulation models of articulated figures, particularly useful when dealing with systems in time-varying contact with the environment. The proposed algorithm adjusts model connectivity, geometry and current state,...

On symmetrically growing bodies.

Reuven Segev (1997)

Extracta Mathematicae

Similarity:

This work presents a setting for the formulation of the mechanics of growing bodies. By the mechanics of growing bodies we mean a theory in which the material structure of the body does not remain fixed. Material points may be added or removed from the body.

The determination of convex bodies from the size and shape of their projections and sections

Paul Goodey (2009)

Banach Center Publications

Similarity:

We survey results concerning the extent to which information about a convex body's projections or sections determine that body. We will see that, if the body is known to be centrally symmetric, then it is determined by the size of its projections. However, without the symmetry condition, knowledge of the average shape of projections or sections often determines the body. Rather surprisingly, the dimension of the projections or sections plays a key role and exceptional cases do occur...

Image based analysis of complex microstructures of engineering materials

Tomasz Wejrzanowski, Wojciech Leon Spychalski, Krzysztof Różniatowski, Krzysztof Jan Kurzydłowski (2008)

International Journal of Applied Mathematics and Computer Science

Similarity:

The paper presents various methods for quantitative description of material structures. The main focus is on direct methods of description based on image analysis. In particular, techniques for the estimation of the size, shape and spatial distribution of structural elements observed by different microscopic techniques are described. The application of these methods for the characterization of the structures of engineering materials is demonstrated on a stainless steel used in petrochemical...

New methods in collision of bodies analysis

Němec, Ivan, Vala, Jiří, Štekbauer, Hynek, Jedlička, Michal, Burkart, Daniel

Similarity:

The widely used method for solution of impacts of bodies, called the penalty method, is based on the contact force proportional to the length of the interpenetration of bodies. This method is regarded as unsatisfactory by the authors of this contribution, because of an inaccurate fulfillment of the energy conservation law and violation of the natural demand of impenetrability of bodies. Two non-traditional methods for the solution of impacts of bodies satisfy these demands exactly, or...