On a class of boundary value problems of thermoelasticity for the orthotropic body in the rectangular Cartesian coordinate system.
Khomasuridze, I. (1999)
Bulletin of TICMI
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Khomasuridze, I. (1999)
Bulletin of TICMI
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T. Wegner (1988)
Applicationes Mathematicae
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Li, Ping, Stagnitti, Frank (2004)
Mathematical Problems in Engineering
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M. Krakowski (1971)
Applicationes Mathematicae
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Chao Li, Weidong Wang (2020)
Czechoslovak Mathematical Journal
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We establish some inequalities for general width-integrals of Blaschke-Minkowski homomorphisms. As applications, inequalities for width-integrals of projection bodies are derived.
Katica Stevanović Hedrih (1998)
Zbornik Radova
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Revenko, Sorin M., Soltan, V. (1997)
General Mathematics
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Jentsch, Lothar, Natroshvili, David (1999)
Memoirs on Differential Equations and Mathematical Physics
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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...
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...
M. A. Wolanowski (1977)
Annales Polonici Mathematici
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Sergio Bravo, Ivan Gonzalez, Karen Kohl, Victor H. Moll (2017)
Open Mathematics
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The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.