000 04013nam a22005655i 4500
001 978-0-8176-4870-1
003 DE-He213
005 20140220084457.0
007 cr nn 008mamaa
008 100726s2010 xxu| s |||| 0|eng d
020 _a9780817648701
_9978-0-8176-4870-1
024 7 _a10.1007/978-0-8176-4870-1
_2doi
050 4 _aTA342-343
072 7 _aPBWH
_2bicssc
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aTEC009060
_2bisacsh
082 0 4 _a003.3
_223
100 1 _aRomano, Antonio.
_eauthor.
245 1 0 _aContinuum Mechanics
_h[electronic resource] :
_bAdvanced Topics and Research Trends /
_cby Antonio Romano, Addolorata Marasco.
250 _a1.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2010.
300 _aXII, 348p. 39 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModeling and Simulation in Science, Engineering and Technology
505 0 _aNonlinear Elasticity -- Micropolar Elasticity -- Continuous System with a Nonmaterial Interface -- Phase Equilibrium -- Stationary and Time-Dependent Phase Changes -- An Introduction to Mixture Theory -- Electromagnetism in Matter -- to Magnetofluid Dynamics -- Continua with an Interface and Micromagnetism -- Relativistic Continuous Systems.
520 _aThis book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields. Specific topics, which have been chosen to show the power of continuum mechanics to characterize the experimental behavior of real phenomena, include: * various aspects of nonlinear elasticity, including equilibrium equations and their variational formulation, nonlinear constitutive equations, existence and uniqueness theorems of Van Buren and Stoppelli, and Signorini's method with some extensions to live loads and acceleration waves * continua with directors * a model of a continuum with a nonmaterial moving interface * mixture theory: The Gibbs Rule in a binary mixture * interaction between electric or magnetic fields with matter * micromagnetism * continua in special relativity and relativistic interactions between matter and electromagnetic fields Appendices are included to provide background information on topics such as surface geometry, first-order PDEs, and weak solutions to models. Mathematica® notebooks also accompanying the text are available for download at http://www.birkhauser.com/978-0-8176-4869-5. Aimed at advanced graduate students, applied mathematicians, mathematical physicists, and engineers, the work will be an excellent self-study reference or supplementary textbook in graduate-level courses focusing on advanced topics and research trends in continuum mechanics.
650 0 _aMathematics.
650 0 _aMechanics.
650 0 _aMechanics, applied.
650 0 _aMaterials.
650 1 4 _aMathematics.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aMechanics.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aApplications of Mathematics.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aTheoretical and Applied Mechanics.
700 1 _aMarasco, Addolorata.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817648695
830 0 _aModeling and Simulation in Science, Engineering and Technology
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4870-1
912 _aZDB-2-SMA
999 _c109909
_d109909