Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances

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Springer Science & Business Media, 2006 - Mathematics - 320 pages
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Inthecourseofthelast?ftyyears, developmentsinnonsmoothana- sisandnonsmoothmechanicshaveoftenbeencloselylinked. Thepresent book acts as an illustration of this. Its objective is two-fold. It is of course intended to help to di?use the recent results obtained by various renownedspecialists. ButthereisanequaldesiretopayhomagetoJean Jacques Moreau, who is undoubtedly the most emblematic ?gure in the correlated, not to say dual, advances in these two ?elds. Jean Jacques Moreau appears as a rightful heir to the founders of di?erential calculus and mechanics through the depth of his thinking in the ?eld of nonsmooth mechanics and the size of his contribution to the development of nonsmooth analysis. His interest in mechanics has focused on a wide variety of subjects: singularities in ?uid ?ows, the initiation of cavitation, plasticity, and the statics and dynamics of gr- ular media. The ‘Ariadne’s thread’ running throughout is the notion of unilateral constraint. Allied to this is his investment in mathematics in the ?elds of convex analysis, calculus of variations and di?erential m- sures. When considering these contributions, regardless of their nature, one cannot fail to be struck by their clarity, discerning originality and elegance. Precision and rigor of thinking, clarity and elegance of style are the distinctive features of his work.
  

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Contents

III
3
IV
13
V
25
VI
35
VII
47
VIII
61
IX
71
X
81
XVII
173
XVIII
185
XIX
195
XX
209
XXI
221
XXII
233
XXIII
249
XXIV
261

XI
93
XII
107
XIII
119
XIV
129
XV
145
XVI
163
XXV
279
XXVI
289
XXVII
305
XXVIII
315
XXIX
319
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