000 03422nam a22005055i 4500
001 978-1-4939-2706-7
003 DE-He213
005 20161006171600.0
007 cr nn 008mamaa
008 151021s2015 xxu| s |||| 0|eng d
020 _a9781493927067
_9978-1-4939-2706-7
024 7 _a10.1007/978-1-4939-2706-7
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aMielke, Alexander.
_eauthor.
245 1 0 _aRate-Independent Systems
_h[electronic resource] :
_bTheory and Application /
_cby Alexander Mielke, Tomáš Roubíček.
250 _a1st ed. 2015.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2015.
300 _aXXII, 660 p. 75 illus., 13 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 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v193
505 0 _a1. A general view on rate-independent systems.- 2. Energetic rate-independent systems.- 3. Rate-independent systems in Banach spaces.- 4. Applications in continuum mechanics and physics of solids -- 5. Beyond rate independence.- Appendices.- References -- Index .
520 _aThis monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have worked on with a number of collaborators over many years. The focus is mostly on fully rate-independent systems, first on an abstract level with or without a linear structure, discussing various concepts of solutions with full mathematical rigor. The usefulness of the abstract concepts is then demonstrated on the level of various applications primarily in continuum mechanics of solids, including suitable approximation strategies with guaranteed numerical stability and convergence. Particular applications concern inelastic processes such as plasticity, damage, phase transformations, or adhesive-type contacts both at small strains and at finite strains. Other physical systems such as magnetic or ferroelectric materials, and couplings to rate-dependent thermodynamic models are also considered. Selected applications are accompanied by numerical simulations illustrating both the models and the efficiency of computational algorithms. This book presents the mathematical framework for a rigorous mathematical treatment of rate-independent systems in a comprehensive form for the first time. Researchers and graduate students in applied mathematics, engineering, and computational physics will find this timely and well-written book useful.
650 0 _aMathematics.
650 0 _aPartial differential equations.
650 0 _aPhysics.
650 0 _aContinuum mechanics.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
700 1 _aRoubíček, Tomáš.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781493927050
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v193
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4939-2706-7
912 _aZDB-2-SMA
999 _c226901
_d226901