000 03145nam a22004455i 4500
001 978-1-4020-6377-0
003 DE-He213
005 20251006084532.0
007 cr nn 008mamaa
008 100301s2007 ne | s |||| 0|eng d
020 _a9781402063770
020 _a99781402063770
024 7 _a10.1007/978-1-4020-6377-0
_2doi
082 0 4 _a620.1
_223
100 1 _aKravchuk, Alexander S.
_eauthor.
245 1 0 _aVariational and Quasi-Variational Inequalities in Mechanics
_h[electronic resource] /
_cby Alexander S. Kravchuk, Pekka J. Neittaanmäki.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2007.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSolid Mechanics and Its Applications,
_x0925-0042 ;
_v147
505 0 _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.
520 _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.
650 0 _aENGINEERING.
650 0 _aMATERIALS.
650 1 4 _aENGINEERING.
650 2 4 _aCONTINUUM MECHANICS AND MECHANICS OF MATERIALS.
650 2 4 _aCOMPUTATIONAL INTELLIGENCE.
700 1 _aNeittaanmäki, Pekka J.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402063763
830 0 _aSolid Mechanics and Its Applications,
_x0925-0042 ;
_v147
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4020-6377-0
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-ENG
942 _2ddc
_cER
999 _c61692
_d61692