LEADER 00000cam a2200601Ii 4500
003 OCoLC
005 20190319060507.3
006 m o d
007 cr cnuunuuu
008 180420s2018 sz ob 000 0 eng d
019 SpringerEBAon1031847574
020 9783319762043q(electronic bk.)
020 3319762044q(electronic bk.)
020 z9783319762036q(hardcover)
020 z3319762036q(hardcover)
024 7 10.1007/97833197620432doi
037 com.springer.onix.9783319762043bSpringer Nature
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049 MAIN
050 4 QC176.8.M5bK33 2018eb
082 04 620.1/1299223
100 1 Kachanov, Mark,eauthor.
245 10 Micromechanics of materials, with applications /cMark
Kachanov, Igor Sevostianov.
264 1 Cham :bSpringer,c[2018]
264 4 c©2018
300 1 online resource.
336 textbtxt2rdacontent
337 computerbc2rdamedia
338 online resourcebcr2rdacarrier
347 text filebPDF2rda
490 1 Solid mechanics and its applications ;vvolume 249
504 Includes bibliographical references.
505 0 Intro; Preface; Contents; 1 Background Results on
Elasticity and Conductivity; 1.1 Basic Equations of Linear
Elasticity. Elastic Symmetries; 1.2 Energy Principles of
Elasticity; 1.2.1 Virtual Changes of State; 1.2.2 The
Principle of Virtual Displacements; 1.2.3 The Principle of
Virtual Forces; 1.2.4 The Principle of Stationarity of
Potential Energy of an Elastic Solid; 1.2.5 The Principle
of Stationarity of Complementary Energy of an Elastic
Solid; 1.3 Approximate Symmetries of the Elastic
Properties; 1.4 A Summary of Algebra of FourthRank
Tensors; 1.4.1 Isotropic FourthRank Tensors.
505 8 1.4.2 Anisotropic FourthRank Tensors1.4.3 Transversely
Isotropic Tensors; 1.4.4 Averaging of Tensors nn and nnnn
Over Orientations in Simplest Cases of Orientation
Distribution; 1.4.5 Orthotropic Tensors; 1.5 Thermal and
Electric Conductivity: Fourier and Ohm's Laws; 1.6 Green's
Tensors in Elasticity and Conductivity and Their
Derivatives; 1.6.1 General Representation of Green's
Tensor in Elasticity; 1.6.2 Isotropic Elastic Material;
1.6.3 Transversely Isotropic Elastic Material.
505 8 1.6.4 Green's Tensor for a Monoclinic Material, in the
Plane of Elastic Symmetry and in the Direction Normal to
It1.6.5 Cubic Symmetry; 1.6.6 TwoDimensional Anisotropic
Elastic Material; 1.6.7 Derivatives of Green's Tensor;
1.6.8 Green's Function in the Conductivity Problem; 1.7
Dipoles, Moments, and Multipole Expansions in Elasticity
and Conductivity; 1.7.1 System of Forces Distributed in
Small Volume; 1.7.2 Dipole; 1.7.3 Center of Dilatation;
1.7.4 Force Couple; 1.7.5 Center of Rotation; 1.7.6
Multipole Expansion; 1.8 Stress Intensity Factors.
505 8 1.9 General Thermodynamics Framework for Transition from
Microscale to Macroscopic Constitutive Equations (Rice's
Formalism)1.10 Mathematical Analogies Between
Elastostatics and SteadyState Heat Flux. Conductivity
Analogues of Stress Intensity Factors; 1.11
Discontinuities of the Elastic and Thermal Fields at
Interfaces of Two Different Materials; 1.11.1 Stress
Discontinuities in the Elasticity Problem; 1.11.2 Flux
Discontinuities in the Conductivity Problem; 2
Quantitative Characterization of Microstructures in the
Context of Effective Properties.
505 8 2.1 Representative Volume Element (RVE) and Related
Issues2.1.1 Hill's Condition. Homogeneous Boundary
Conditions; 2.1.2 Averages Over Volume and Their Relation
to Quantities Accessible on Its Boundary; 2.1.3 Volumes
Smaller than RVE; 2.2 The Concept of Proper
Microstructural Parameters; 2.3 The Simplest
Microstructural Parameters and Their Limitations; 2.4
Microstructural Parameters Are Rooted in the Non
interaction Approximation; 2.5 Property Contribution
Tensors of Inhomogeneities; 2.6 Hill's Comparison
(Modification) Theorem and Its Implications.
520 This book on micromechanics explores both traditional
aspects and the advances made in the last 1015 years. The
viewpoint it assumes is that the rapidly developing field
of micromechanics, apart from being of fundamental
scientific importance, is motivated by materials science
applications. The introductory chapter provides the
necessary background together with some less traditional
material, examining e.g. approximate elastic symmetries,
Rice's technique of internal variables and multipole
expansions. The remainder of the book is divided into the
following parts: (A) classic results, which consist of
Rift Valley Energy (RVE), Hill's results, Eshelby's
results for ellipsoidal inhomogeneities, and approximate
schemes for the effective properties; (B) results aimed at
overcoming these limitations, such as volumes smaller than
RVE, quantitative characterization of "irregular"
microstructures, nonellipsoidal inhomogeneities, and
crossproperty connections; (C) local fields and effects
of interactions on them; and lastly (D)  the largest
section  which explores applications to eight classes of
materials that illustrate how to apply the micromechanics
methodology to specific materials.
650 0 Micromechanics.
650 0 Microstructure.
655 4 Electronic books.
700 1 Sevostianov, Igor,eauthor.
710 2 SpringerLinkeissuing body.
776 08 iPrint version:aKachanov, Mark.tMicromechanics of
materials, with applicationsz3319762036z9783319762036
w(OCoLC)1020616686
830 0 Solid mechanics and its applications ;vv. 249.
830 0 Springer Engineering eBooks 2018 English+International
856 40 uhttps://ezp.lib.unimelb.edu.au/login?url=http://
link.springer.com/10.1007/9783319762043zConnect to
ebook (University of Melbourne only)
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990 Springer Engineeriing 2018
990 Batch Ebook load (bud2)  do not edit, delete or attach
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