03023nam a22003975i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001400172100003600186245014100222264004600363300002100409336002600430337002600456338003600482347002400518490006000542505035200602520124900954650001702203650001502220650001702235650005202252650003202304700003802336710003402374773002002408776003602428830006002464856010102524978-1-4020-6377-0DE-He21320260521092137.0cr nn 008mamaa100301s2007    ne |    s    |||| 0|eng d  a9781402063770  a997814020637707 a10.1007/978-1-4020-6377-02doi04a620.12231 aKravchuk, Alexander S.eauthor.10aVariational and Quasi-Variational Inequalities in Mechanicsh[electronic resource] /cby Alexander S. Kravchuk, Pekka J. Neittaanmäki. 1aDordrecht :bSpringer Netherlands,c2007.  bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSolid Mechanics and Its Applications,x0925-0042 ;v1470 aNotations and Basics -- Variational Setting of Linear Steady-state Problems -- Variational Theory for Nonlinear Smooth Systems -- Unilateral Constraints and Nondifferentiable Functionals -- Transformation of Variational Principles -- Nonstationary Problems and Thermodynamics -- Solution Methods and Numerical Implementation -- Concluding Remarks.  aThe essential aim of the present book is to consider a wide set of problems arising in the mathematical modelling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities, and the transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems. Important new results concern contact problems with friction. The Coulomb friction law and some others are considered, in which relative sliding velocities appear. The corresponding quasi-variational inequality is constructed, as well as the appropriate iterative method for its solution. Outlines of the variational approach to non-stationary and dissipative systems and to the construction of the governing equations are also given. Examples of analytical and numerical solutions are presented. Numerical solutions were obtained with the finite element and boundary element methods, including new 3D problems solutions. 0aENGINEERING. 0aMATERIALS.14aENGINEERING.24aCONTINUUM MECHANICS AND MECHANICS OF MATERIALS.24aCOMPUTATIONAL INTELLIGENCE.1 aNeittaanmäki, Pekka J.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9781402063763 0aSolid Mechanics and Its Applications,x0925-0042 ;v14740uhttp://dx.doi.org/10.1007/978-1-4020-6377-0zVer el texto completo en las instalaciones del CICY