000 | 03928nam a22004455i 4500 | ||
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001 | u374820 | ||
003 | SIRSI | ||
005 | 20160812084253.0 | ||
007 | cr nn 008mamaa | ||
008 | 110525s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642146435 _9978-3-642-14643-5 |
||
040 | _cMX-MeUAM | ||
050 | 4 | _aTA405-409.3 | |
050 | 4 | _aQA808.2 | |
082 | 0 | 4 |
_a620.1 _223 |
100 | 1 |
_aFan, Tianyou. _eauthor. |
|
245 | 1 | 0 |
_aMathematical Theory of Elasticity of Quasicrystals and Its Applications _h[recurso electrónico] / _cby Tianyou Fan. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011. |
|
300 |
_a350p. 40 illus., 8 illus. in color. _bonline resource. |
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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 |
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505 | 0 | _aPreface -- Crystals -- Framework of the classical theory of elasticity -- Quasicrystals and their properties -- Physical basis of the elasticity of quasicrystals -- Elasticity theory of one-dimensional quasicrystals and simplification -- Elasticity theory of two-dimensional quaiscrystals and simplification -- Application I--Some dislocation problems and solutions of one- and two-dimensional quasicrystals -- Application II--Some notch and crack problems and solutions of one- and two-dimensional quasicrystals -- Elasticity of three-dimensional quasicrystals and applications -- Elastodynamics of quasicrystals -- Complex variable function method -- Variational principles, numerical method and solutions of two-dimensional quasicrystals -- Some mathematical principles on solutions of elasticity of quasicrystals -- Nonlinear elasticity and plasticity -- Fracture theory of quasicrystals -- Possible applications of elasticity to the study of specific heat of quasicrystals. | |
520 | _aThis inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed. The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics. | ||
650 | 0 | _aEngineering. | |
650 | 0 | _aMathematics. | |
650 | 0 | _aMaterials. | |
650 | 1 | 4 | _aEngineering. |
650 | 2 | 4 | _aContinuum Mechanics and Mechanics of Materials. |
650 | 2 | 4 | _aCondensed Matter Physics. |
650 | 2 | 4 | _aApplications of Mathematics. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642146428 |
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-14643-5 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c202700 _d202700 |