000 04280nam a22005175i 4500
001 978-1-4614-4232-5
003 DE-He213
005 20140220082814.0
007 cr nn 008mamaa
008 120917s2013 xxu| s |||| 0|eng d
020 _a9781461442325
_9978-1-4614-4232-5
024 7 _a10.1007/978-1-4614-4232-5
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aMigórski, Stanisław.
_eauthor.
245 1 0 _aNonlinear Inclusions and Hemivariational Inequalities
_h[electronic resource] :
_bModels and Analysis of Contact Problems /
_cby Stanisław Migórski, Anna Ochal, Mircea Sofonea.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXVI, 285 p. 105 illus., 69 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvances in Mechanics and Mathematics,
_x1571-8689 ;
_v26
505 0 _aPreface -- List of Symbols -- 1. Preliminaries -- 2. Function Spaces -- 3. Elements of Nonlinear Analysis -- 4. Stationary Inclusions and Hemivariational Inequalities -- 5. Evolutionary Inclusions and Hemivarational Inequalities -- 6. Modeling of Contact Problems -- 7. Analysis of Static Contact Problems -- 8. Analysis of Dynamic Contact Problems -- Bibliographic Notes -- References -- Index.
520 _aNonlinear Inclusions and Hemivariational Inequalities presents a broad insight into the theory of inclusions, hemivariational inequalities, and their applications to Contact Mechanics. The content of this volume gathers recent results which are published here for the first time and gives a largely self-contained and rigorous introduction to mathematical analysis of contact problems. The book will be of particular interest to students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and may also prove suitable as a supplementary text for an advanced one or two semester specialized course in mathematical modeling.   This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of Contact Mechanics. It covers both abstract existence and uniqueness results as well as the study of specific contact problems, including their modeling and variational analysis. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation.   The text is divided into three parts. Part I, entitled Background of Functional Analysis, gives an overview of nonlinear and functional analysis, function spaces, and calculus of nonsmooth operators. The material presented may be useful to students and researchers from a broad range of mathematics and mathematical disciplines. Part II concerns Nonlinear Inclusions and Hemivariational Inequalities and is the core of the text in terms of theory. Part III, entitled Modeling and Analysis of Contact Problems shows applications of theory in static and dynamic contact problems with deformable bodies, where the material behavior is modeled with both elastic and viscoelastic constitutive laws. Particular attention is paid to the study of contact problems with piezoelectric materials. Bibliographical notes presented at the end of each part are valuable for further study.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aDifferential equations, partial.
650 0 _aMechanics.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aMechanics.
650 2 4 _aFunctional Analysis.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
700 1 _aOchal, Anna.
_eauthor.
700 1 _aSofonea, Mircea.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461442318
830 0 _aAdvances in Mechanics and Mathematics,
_x1571-8689 ;
_v26
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-4232-5
912 _aZDB-2-SMA
999 _c95093
_d95093