000 | 03873nam a22006375i 4500 | ||
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001 | 978-3-030-02065-1 | ||
003 | DE-He213 | ||
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007 | cr nn 008mamaa | ||
008 | 190302s2019 sz | s |||| 0|eng d | ||
020 |
_a9783030020651 _9978-3-030-02065-1 |
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024 | 7 |
_a10.1007/978-3-030-02065-1 _2doi |
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050 | 4 | _aTA349-359 | |
072 | 7 |
_aTGMD _2bicssc |
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072 | 7 |
_aSCI096000 _2bisacsh |
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072 | 7 |
_aTGMD _2thema |
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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 |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 |
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650 | 0 |
_aSolids. _93750 |
|
650 | 0 |
_aMathematical physics. _911013 |
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650 | 0 |
_aThermodynamics. _93554 |
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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 |
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