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035   $a(DE-He213)978-3-030-60064-8
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100   $a20210420d2020      uy             0
101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aRandom fields of piezoelectricity and piezomagnetism $ecorrelation structures /$fAnatoliy Malyarenko, Martin Ostoja-Starzewski, and Amirhossein Amiri-Hezaveh
205   $a1st ed. 2020.
210  1$aCham, Switzerland :$cSpringer,$d[2020]
210  4$d©2020
215   $a1 online resource (XI, 97 p. 2 illus., 1 illus. in color.) 
225 1 $aSpringerBriefs in Applied Sciences and Technology, Mathematical methods
311   $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 applied sciences and technology, mathematical methods.
606   $aElectromagnetic theory
606   $aRandom fields
606   $aPiezoelectricity
615  0$aElectromagnetic theory.
615  0$aRandom fields.
615  0$aPiezoelectricity.
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$bUtOrBLW
906   $aBOOK
912   $a996418195203316
996   $aRandom fields of piezoelectricity and piezomagnetism$92113490
997   $aUNISA