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010   $a3-030-60064-5
024 7 $a10.1007/978-3-030-60064-8
035   $a(CKB)4100000011558770
035   $a(DE-He213)978-3-030-60064-8
035   $a(MiAaPQ)EBC6386042
035   $a(PPN)252508351
035   $a(EXLCZ)994100000011558770
100   $a20201105d2020      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aRandom Fields of Piezoelectricity and Piezomagnetism $eCorrelation Structures /$fby Anatoliy Malyarenko, Martin Ostoja-Starzewski, Amirhossein Amiri-Hezaveh
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (XI, 97 p. 2 illus., 1 illus. in color.) 
225 1 $aSpringerBriefs in Mathematical Methods,$x2365-0834
311 08$a3-030-60063-7 
327   $aPreface -- 1. Continuum Theory of Piezoelectricity and Piezomagnetism -- 2. Mathematical preliminaries -- 3. The Choice of a Basis in the Space VG -- 4. Correlation Structures -- References -- Index.
330   $aRandom fields are a necessity when formulating stochastic continuum theories. In this book, a theory of random piezoelectric and piezomagnetic materials is developed. First, elements of the continuum mechanics of electromagnetic solids are presented. Then the relevant linear governing equations are introduced, written in terms of either a displacement approach or a stress approach, along with linear variational principles. On this basis, a statistical description of second-order (statistically) homogeneous and isotropic rank-3 tensor-valued random fields is given. With a group-theoretic foundation, correlation functions and their spectral counterparts are obtained in terms of stochastic integrals with respect to certain random measures for the fields that belong to orthotropic, tetragonal, and cubic crystal systems. The target audience will primarily comprise researchers and graduate students in theoretical mechanics, statistical physics, and probability.
410  0$aSpringerBriefs in Mathematical Methods,$x2365-0834
606   $aProbabilities
606   $aContinuum mechanics
606   $aMagnetism
606   $aCondensed matter
606   $aApplied Probability
606   $aContinuum Mechanics
606   $aMagnetism
606   $aCondensed Matter Physics
615  0$aProbabilities.
615  0$aContinuum mechanics.
615  0$aMagnetism.
615  0$aCondensed matter.
615 14$aApplied Probability.
615 24$aContinuum Mechanics.
615 24$aMagnetism.
615 24$aCondensed Matter Physics.
676   $a530.141
700   $aMalyarenko$b Anatoliy$0938186
702   $aOstoja-Starzewski$b Martin
702   $aAmiri-Hezaveh$b Amirhossein
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484994803321
996   $aRandom fields of piezoelectricity and piezomagnetism$92113490
997   $aUNINA