03183nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137100003100172245016100203264004600364300002100410336002600431337002600457338003600483347002400519490006000543505051200603520094001115650001702055650002102072650002102093650003702114650003102151650001502182650001702197650003602214650002102250650004702271650005202318650006202370700003002432710003402462773002002496776003602516830006002552856010102612978-0-387-87460-9DE-He21320260521092014.0cr nn 008mamaa100301s2009 xxu| s |||| 0|eng d a9780387874609 a997803878746097 a10.1007/978-0-387-87460-92doi1 aMatei, Andaluzia.eauthor.10aVariational Inequalities with Applicationsh[electronic resource] :bA Study of Antiplane Frictional Contact Problems /cby Andaluzia Matei, Mircea Sofonea. 1aNew York, NY :bSpringer New York,c2009. bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aAdvances in Mechanics and Mathematics,x1571-8689 ;v180 aBackground on Functional Analysis -- Preliminaries -- Function Spaces -- Variational Inequalities -- Elliptic Variational Inequalities -- Evolutionary Variational Inequalities with Viscosity -- Evolutionary Variational Inequalities -- Volterra-type Variational Inequalities -- Background on Contact Mechanics -- Modeling of Contact Processes -- Antiplane Shear -- Antiplane Frictional Contact Problems -- Elastic Problems -- Viscoelastic Problems with Short Memory -- Viscoelastic Problems with Long Memory. aThis book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art. Applied mathematicians and advanced graduate students wishing to enter the field of VIs would benefit from this work as it sets out in detail basic features and results in the mathematical theory of contact mechanics. Researchers interested in applications of numerical analysis pertaining to VIs would also find the work useful. Assuming a reasonable knowledge of functional analysis, this volume is a must for graduate students, practitioners, and engineers engaged in contact mechanics. 0aMATHEMATICS. 0aGLOBAL ANALYSIS. 0aOPERATOR THEORY. 0aDIFFERENTIAL EQUATIONS, PARTIAL. 0aMATHEMATICAL OPTIMIZATION. 0aMATERIALS.14aMATHEMATICS.24aPARTIAL DIFFERENTIAL EQUATIONS.24aOPERATOR THEORY.24aGLOBAL ANALYSIS AND ANALYSIS ON MANIFOLDS.24aCONTINUUM MECHANICS AND MECHANICS OF MATERIALS.24aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.1 aSofonea, Mircea.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387874593 0aAdvances in Mechanics and Mathematics,x1571-8689 ;v1840uhttp://dx.doi.org/10.1007/978-0-387-87460-9zVer el texto completo en las instalaciones del CICY