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Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances (Advances in Mechanics and Mathematics)
Rok: 2005
ISBN: 9780387291963
OKCZID: 110623685
Citace (dle ČSN ISO 690):
ALART, P., ed., MAISONNEUVE, O., ed. a ROCKAFELLAR, ed. Nonsmooth mechanics and analysis: theoretical and numerical advances. New York, NY: Springer, 2006. xi, 320 s. Advances in mechanics and mathematics, vol. 12.
Anotace
This book’s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics.