LEADER 00000cam a2200601Ii 4500
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008 180420s2018 sz ob 000 0 eng d
020 9783319762043|q(electronic bk.)
020 3319762044|q(electronic bk.)
024 7 10.1007/978-3-319-76204-3|2doi
037 com.springer.onix.9783319762043|bSpringer Nature
050 4 QC176.8.M5|bK33 2018eb
082 04 620.1/1299|223
100 1 Kachanov, Mark,|eauthor.
245 10 Micromechanics of materials, with applications /|cMark
Kachanov, Igor Sevostianov.
264 1 Cham :|bSpringer,|c
264 4 |c©2018
300 1 online resource.
338 online resource|bcr|2rdacarrier
347 text file|bPDF|2rda
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 Fourth-Rank
Tensors; 1.4.1 Isotropic Fourth-Rank Tensors.
505 8 1.4.2 Anisotropic Fourth-Rank 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 Two-Dimensional 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 Steady-State 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 10-15 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, non-ellipsoidal inhomogeneities, and
cross-property 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 SpringerLink|eissuing body.
776 08 |iPrint version:|aKachanov, Mark.|tMicromechanics of
materials, with applications|z3319762036|z9783319762036
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://
ebook (University of Melbourne only)
990 Springer EBA e-book collections for 2017-2019
990 Springer Engineeriing 2018
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