000 03968nam a22004695i 4500
001 978-3-642-14643-5
003 DE-He213
005 20140220083745.0
007 cr nn 008mamaa
008 110525s2011 gw | s |||| 0|eng d
020 _a9783642146435
_9978-3-642-14643-5
024 7 _a10.1007/978-3-642-14643-5
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aFan, Tianyou.
_eauthor.
245 1 0 _aMathematical Theory of Elasticity of Quasicrystals and Its Applications
_h[electronic resource] /
_cby Tianyou Fan.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _a350p. 40 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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 _uhttp://dx.doi.org/10.1007/978-3-642-14643-5
912 _aZDB-2-ENG
999 _c106970
_d106970