Journal ArticleDOI
F. H. Clarke's Generalized Gradient and Fourier's Principle
H. May,P. D. Panagiotopoulous +1 more
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This article is published in Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik.The article was published on 1985-01-01. It has received 10 citations till now. The article focuses on the topics: Fourier transform.read more
Citations
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Journal ArticleDOI
The Principles of d'Alembert, Jourdain, and Gauss in Nonsmooth Dynamics Part I: Scleronomic Multibody Systems
TL;DR: In this article, a generalization of the classical principles of d'Alembert, Jourdain, and Gauss in terms of variational inequalities is given. But this generalization is restricted to the cases of smooth force characteristics, bilateral constraints, and combinations of them like unilateral constraints, dry friction, or prestressed springs with play.
Book ChapterDOI
Displacement Potentials in Non-Smooth Dynamics
TL;DR: In this article, a generalization of the classical principles of d'Alembert, Jourdain, and Gauss in terms of hemi-variational inequalities is given.
Book ChapterDOI
Generalized Variational Principles and Unilateral Constraints in Analytical Mechanics
TL;DR: In this article, the authors examine unilateral constraints in analytical mechanics and show that they can be applied to moving rigid bodies which may enter into contact and detach from each other, such as when two satellites are connected by a rope.
Journal ArticleDOI
Jourdain's principle for unilateral constrains
TL;DR: In this article, the authors deal with Jourdain's principle for unilateral constraints, depending on the velocities, written as a hemivariational inequality, so that it is possible to treat very general constraints.
Journal ArticleDOI
Variational principles and differential inclusions for unilateral constraints in analytical mechanics
TL;DR: In this paper, the authors deal with variational principles in terms of hemivariational inequalities and with differential inclusions for unilateral constraints in analytical mechanics, and discuss how it is possible to describe one-sided constraints in a very general manner by the help of Clarke's generalized gradient.
References
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Journal ArticleDOI
Generalized gradients and applications
Journal ArticleDOI
Nonconvex energy functions. Hemivariational inequalities and substationarity principles
TL;DR: In this article, the derivation of certain new classes of variational principles for material laws and boundary conditions resulting from nonconvex, generally non-differentiable, potentials is discussed.