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020 _a9783030020651
_9978-3-030-02065-1
024 7 _a10.1007/978-3-030-02065-1
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aKružík, Martin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_939842
245 1 0 _aMathematical Methods in Continuum Mechanics of Solids
_h[electronic resource] /
_cby Martin Kružík, Tomáš Roubíček.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXIII, 617 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInteraction of Mechanics and Mathematics,
_x1860-6253
505 0 _aStatic Problems -- Description of Deformable Stressed Bodies -- Elastic Materials -- Polyconvex Materials: Existence Of Energy-Minimizing Deformations -- General Hyperelastic Materials: Existence/Nonexistence Results -- Linearized Elasticity -- Evolution Problems -- Linear Rheological Models at Small Strains -- Nonlinear Materials with Internal Variables at Small Strains -- Thermodynamics of Selected Materials and Processes -- Evolution at finite Strains.
520 _aThis book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear, quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aMathematical physics.
_911013
650 0 _aThermodynamics.
_93554
650 0 _aHeat engineering.
_95144
650 0 _aHeat transfer.
_932329
650 0 _aMass transfer.
_94272
650 0 _aMultibody systems.
_96018
650 0 _aVibration.
_96645
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aMathematical Physics.
_911013
650 2 4 _aEngineering Thermodynamics, Heat and Mass Transfer.
_932330
650 2 4 _aMultibody Systems and Mechanical Vibrations.
_932157
700 1 _aRoubíček, Tomáš.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_939843
710 2 _aSpringerLink (Online service)
_939844
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030020644
776 0 8 _iPrinted edition:
_z9783030020668
776 0 8 _iPrinted edition:
_z9783030300197
830 0 _aInteraction of Mechanics and Mathematics,
_x1860-6253
_939845
856 4 0 _uhttps://doi.org/10.1007/978-3-030-02065-1
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c76633
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