Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II.
Jentsch, Lothar, Natroshvili, David (1999)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “On Hadwiger's problem on inner parallel bodies”
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II.
The skeleta of convex bodies
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.
Approximation of convex bodies by sums of line segments
Lindquist, Norman F. (1975)
Portugaliae mathematica
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The determination of convex bodies from the size and shape of their projections and sections
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...
Fixing and hindering systems in combinatorial geometry.
Boltyanski, V., Martini, H. (1999)
Beiträge zur Algebra und Geometrie
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Polyhedra inscribed and circumscribed to convex bodies.
Hausel, T., Makai, E., Szücs, A. (1997)
General Mathematics
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Approximation of convex bodies by polynomial bodies II: Width and radius cases
Ricardo Faro Rivas (1989)
Extracta Mathematicae
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New methods in collision of bodies analysis
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...
Hyperplane sections of convex bodies in isotropic position.
Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
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Gaussian marginals of convex bodies with symmetries.
Meckes, Mark W. (2009)
Beiträge zur Algebra und Geometrie
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On a computational approach to multiple contacts / impacts of elastic bodies
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...
Asymptotics of cross sections for convex bodies.
Brehm, Ulrich, Voigt, Jürgen (2000)
Beiträge zur Algebra und Geometrie
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Common supporting lines for families of convex bodies in the plane.
Revenko, Sorin M., Soltan, V. (1997)
General Mathematics
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On Antipodal and Adjoint Pairs of Points for Two Convex Bodies.
V. Soltan (1995)
Discrete & computational geometry
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On the Intermediate Area Functions of Convex Bodies.
Rolf Schneider, Paul R. Goodey (1980)
Mathematische Zeitschrift
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