Self-Consistent Methods for Composites

Vol.1: Static Problems

S.K. Kanaun, V. Levin (Autoren)

Buch | Softcover

384 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2008
Springer (Verlag)
978-90-481-7694-6 (ISBN)

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The theory of heterogeneous materials has been intensively developed during the past few decades. The main reason for the interest of many researchers in this part of the mechanics of solids is the wide area of application of hete- geneous materials in modern material engineering. Self-consistent methods form a well-known branch of the theory of heterogeneous materials. In most books devoted to the mechanics and physics of heterogeneous media, the reader can ?nd self-consistent solutions. But there are no books covering the entire spectrum of self-consistent methods in application to the calculation of static and dynamic properties of heterogeneous materials. This book has been written to cover this gap. It is written for engineers because here they can ?nd the equations for the e?ective properties of composites reinforced with various types of inclusions. The main advantage of self-consistent methods is that they give relatively simple equations for the e?ective parameters of composites. Such equations for static and dynamic properties of matrix composites reinforced with va- oustypesofinclusions,forporousmedia,mediawithcracksandotherdefects, for polycrystals, etc., are widely used in engineering practice, and many new self-consistent solutions are presented in the book. This book is written also for scholars who wish to develop the theory of heterogenousmedia.Inthebooktheywill ?ndthebasicideasandalgorithms for the construction of self-consistent solutions. The book shows how these methods may be applied to composites with inclusions of complex structures, toproblemsofwavepropagation,forcalculationofhigherstatisticalmoments of physical ?elds in composites. Various ways for improving self-consistent solutions are proposed and discussed.

An elastic medium with sources of external and internal stresses.- Equilibrium of a homogeneous elastic medium with an isolated inclusion.- Thin inclusion in a homogeneous elastic medium.- Hard fiber in a homogeneous elastic medium.- Termal and electric fields in a medium with an isolated inclusion.- Homogeneous elastic medium with a set of isolated inclusions.- Multiparticle interactions in composites.- Thermo- and electroconductive properties of composites.

Erscheint lt. Verlag	25.11.2010
Reihe/Serie	Solid Mechanics and Its Applications ; 148
Zusatzinfo	XVI, 384 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Technik ► Maschinenbau
ISBN-10	90-481-7694-8 / 9048176948
ISBN-13	978-90-481-7694-6 / 9789048176946
Zustand	Neuware