Hyperplane sections of convex bodies in isotropic position.
Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
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Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
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Němec, Ivan, Vala, Jiří, Štekbauer, Hynek, Jedlička, Michal, Burkart, Daniel
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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...
Jentsch, Lothar, Natroshvili, David (1999)
Memoirs on Differential Equations and Mathematical Physics
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Lindquist, Norman F. (1975)
Portugaliae mathematica
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Paul Goodey (2009)
Banach Center Publications
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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...
David G. Larman (2009)
Banach Center Publications
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The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.
Reuven Segev (1997)
Extracta Mathematicae
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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.
Rafik Aramyan (2016)
Applications of Mathematics
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It is known that a local equatorial characterization of zonoids does not exist. The question arises: Is there a subclass of zonoids admitting a local equatorial characterization. In this article a sufficient condition is found for a centrally symmetric convex body to be a zonoid. The condition has a local equatorial description. Using the condition one can define a subclass of zonoids admitting a local equatorial characterization. It is also proved that a convex body whose boundary is...
Brehm, Ulrich, Voigt, Jürgen (2000)
Beiträge zur Algebra und Geometrie
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Vala, Jiří, Rek, Václav
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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...
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Zhang, Gaoyong (1999)
Annals of Mathematics. Second Series
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Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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