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- Andersson, Lars-Erik, 1942-, et al.
(author)
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Conditions for use of a non-selfintersection conjecture
- 2006
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In: Computer Aided Geometric Design. - : Elsevier BV. - 0167-8396 .- 1879-2332. ; 23:7, s. 599-611
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Journal article (peer-reviewed)abstract
- Volino and Thalmann have published a conjecture proposing sufficient conditions for non-selfintersection of surfaces. Such conditions may be used in solid modeling, computer graphics, and other application areas, as a basis for collision-detection algorithms. In this paper we clarify certain of the hypotheses of the proposed theorem, and give a proof. A brief summary of possible pitfalls related to using the conditions, when the hypotheses of the formal theorem given here are not satisfied, is also given. We also give examples, and show that the theorem can be extended to domains that are not simply connected. © 2006 Elsevier B.V. All rights reserved.
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| 2. |
- Andersson, Lars-Erik, 1942-, et al.
(author)
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Existence theorems for noncoercive incremental contact problems with Coulomb friction
- 2006
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In: Analysis and Simulation of Contact Problems. - Berlin/Heidelberg : Springer Berlin/Heidelberg. - 9783540317609 - 9783540317616 - 3540317600 ; , s. 121-128
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Book chapter (other academic/artistic)abstract
- For static or incremental contact problems with Coulomb friction there are satisfactory and well known existence results for the coercive case, i.e., when the elastic body is anchored so that rigid body motions are not possible, see [3, 1, 6, 7, 2]. The articles by Jaruusek and Cocu, [7, 2] indeed contain results for the noncoercive case, i.e., when rigid body motions are possible. However, the compatibility conditions which are used to ensure the existence of a solution, are the same that guarantee that the corresponding contact problem without friction has a solution. The condition is essentially that the applied force field should push the elastic body towards the obstacle. One of few previous articles containing friction-dependent compatibility conditions is.
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| 3. |
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| 4. |
- Andersson, Lars-Erik, 1942-, et al.
(author)
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Thermoelastic Contact with Frictional Heating
- 2006
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In: Nonsmooth Mechanics and Analysis,2003. - New York : Springer Science+business Media, inc.. ; , s. 61-
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Conference paper (peer-reviewed)
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| 5. |
- Rietz, Andreas, et al.
(author)
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Noncoercive incremental friction problems for discrete systems
- 2006
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In: Zeitschrift für angewandte Mathematik und Mechanik. - : Wiley. - 0044-2267 .- 1521-4001. ; 86:12, s. 932-950
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Journal article (peer-reviewed)abstract
- We present a sufficient condition for the existence of solutions to noncoercive incremental friction problems for discrete systems in contact with obstacles. By discrete system we mean that the displacement of the object can be discribed by a finite number of displacement variables, and by noncoercive we mean that the stiffness matrix of the object is semidefinite. We have a noncoercive friction problem when the object is not fixed to a support. This means that the friction forces need to balance the applied forces if the object is to remain stationary. This is manifested in our condition for existence of solutions. This condition is a compatibility condition on the applied force field, and if it is violated there exists a nontrivial solution to a corresponding dynamical problem. © 2006 Wiley-VCH Verlag GmbH & Co. KGaA.
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