04216cam a22004814a 450000100060000000300050000600500170001100600190002800700150004700800410006202000290010303500260013204000260015804200080018405000210019208200200021308400450023310000340027821000480031224500910036026000410045130000240049250400640051650600430058052007570062352016180138065000360299865000370303465000250307165000370309665000280313365000170316165000330317865000440321165000360325565000570329177300160334877300150336477300330337985601010341285601020351385601190361510402CUTN20160323125608.0m d cr n 101201s2011 flua sb 001 0 eng d a9781420094237 (hardback) a(WaSeSS)ssj0000529328 aDLCcDLCdDLCdWaSeSS apcc 4aTA353b.K36 201100a620.1001/51222 aSCI041000aMAT003000aTEC0090202bisacsh1 aKanno, Yoshihiro,d1976-zKAN10aNonsmooth mechanics and convex optimization10aNonsmooth Mechanics and Convex Optimizationh[electronic resource] /cYoshihiro Kanno. aBoca Raton, FL :bCRC Press,cc2011. axix, 424 p,c24 cm. aIncludes bibliographical references (p. 381-415) and index. aLicense restrictions may limit access. a"This book presents a methodology for comprehensive treatment of nonsmooth laws in mechanics in accordance with contemporary theory and algorithms of optimization. The author deals with theory and numeiral algorithms comprehensively, providing a new perspective n nonsmooth mechanics based on contemporary optimization. Covering linear programs; semidefinite programs; second-order cone programs; complementarity problems; optimality conditions; Fenchel and Lagrangian dualities; algorithms of operations research, and treating cable networks; membranes; masonry structures; contact problems; plasticity, this is an ideal guide of nonsmooth mechanics for graduate students and researchers in civil and mechanical engineering, and applied mathematics"-- a"The principal subject of this book is to discuss how to make use of theory and algorithms of optimization for treating problems in applied mechanics in a comprehensive way. Particular emphasis, however, is to be put on the two terms involved in the title, \nonsmooth" and \convex", which distinguish the methodology of the present work from the conventional methods in applied and computational mechanics. This book consists of four parts, dealing with the abstract framework of convex analysis for comprehensive treatment of nonsmooth mechanics (Chapters 1-3), demonstration of our methodology through in-depth study of a selected class of structures (Chapters 4-5), numerical algorithms for solving the problems in nonsmooth mechanics (Chapters 6-7), and the application of theoretical and numerical methodologies to the problems covering many topics in nonsmooth mechanics (Chapters 8-11). After more than three decades since the work by Duvaut-Lions, the author hopes that the present work serves as a new bridge between nonsmooth mechanics of deformable bodies and modern convex optimization. Although this book is primarily aimed at mechanicians, it also provides applied mathematicians with a successful case-study in which achievements of modern mathematical engineering are fully applied to real-world problems. Basic and detailed exposition of the notion of complementarity and its links with convex analysis, including many examples taken from applied mechanics, may open a new door for the communities of applied and computational mechanics to a comprehensive treatment of nonsmoothness properties"-- 0aContact mechanicsxMathematics. 0aMechanics, AppliedxMathematics. 0aMechanics, Analytic. 0aNonsmooth mathematical analysis. 0aNonsmooth optimization. 0aConvex sets. 0aDuality theory (Mathematics) 7aSCIENCE / Mechanics / General2bisacsh. 7aMATHEMATICS / Applied2bisacsh. 7aTECHNOLOGY & ENGINEERING / Civil / General2bisacsh. 0tMATHnetBASE 0tENGnetBASE 0tMECHANICALENGINEERINGnetBASE40uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio9265099.001zFull text available from ENGnetBASE40uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio9265099.002zFull text available from MATHnetBASE40uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio9265099.003zFull text available from MECHANICALENGINEERINGnetBASE