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Heterogeneous Media : Micromechanics Modeling Methods and Simulations

Author: Konstantin Markov; Luigi Preziosi
Publisher: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2000.
Series: Modeling and simulation in science, engineering & technology.
Edition/Format:   eBook : Document : English
Summary:
Most materials used in contemporary life and industry are heterogeneous (composites) and multicomponent, possessing a rich and complex internal structure. This internal structure, or microstructure, plays a key role in understanding and controlling the continuum behavior, or macroscopic, of a wide variety of materials. The modeling process is a critical tool for scientists and engineers studying the analysis and  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Konstantin Markov; Luigi Preziosi
ISBN: 1461213320 9781461213321 9781461270980 1461270987 0817640835 9780817640835
OCLC Number: 1058775322
Language Note: English.
Description: 1 online resource (XIV, 477 pages).
Contents: Elementary Micromechanics of Heterogeneous Media --
1.1 Introduction --
1.2 The homogenization problem --
1.3 Some basic results --
1.4 The single inclusion problem --
1.5 One-particle approximations --
1.6 Elastic properties of polycrystals --
1.7 References --
Diffusion-Absorption and Flow Processes in Disordered Porous Media --
2.1 Introduction --
2.2 Microstructure functions --
2.3 Steady-state trapping problem --
2.4 Time-dependent trapping problem --
2.5 Steady-state fluid permeability problem --
2.6 Time-dependent flow problem --
2.7 Variational principles for trapping problem --
2.8 Variational principles for flow problem --
2.9 Bounds on trapping constant --
2.10 Bounds on fluid permeability --
2.11 Cross-property relations --
2.12 References --
Self-Consistent Methods in the Problem of Wave Propagation through Heterogeneous Media --
3.1 Introduction --
3.2 The main hypotheses of the methods --
3.3 Integral equation of the diffraction problem --
3.4 General scheme of the effective field method --
3.5 General scheme of versions I and II of the EMM for matrix composite materials --
3.6 The solutions of the one-particle problems of version I of the EMM and of the EFM --
3.7 Asymptotics of the solutions of the dispersion equations --
3.8 Versions II and III of the EMM in the case of spherical inclusions --
3.9 Version I of the EMM and the EFM in the case of isotropic random sets of inclusions --
3.10 Versions I, II, and III of the EMM for matrix composite materials --
3.11 An approximate solution of the one-particle problem --
3.12 The EFM for composites with regular lattices of spherical inclusions --
3.13 Versions I and IV for polycrystals and granular materials --
3.14 Discussion --
3.15 Conclusions --
3.16 References --
Deformable Porous Media and Composites Manufacturing --
4.1 Introduction --
4.2 Ensemble average approach --
4.3 Effective media approach --
4.4 Deformable and saturated porous media models --
4.5 Boundary conditions --
4.6 One-dimensional infiltration --
4.7 Simulations --
4.8 Three-dimensional unsaturated isothermal model --
4.9 Open problems --
4.10 References --
Micromechanics of Poroelastic Rocks --
5.1 Introduction --
5.2 Hydrostatic poroelasticity --
5.3 Undrained compression --
5.4 Constitutive equations of linearized poroelasticity --
5.5 Equations of stress equilibrium and fluid flow --
5.6 Dependence of poroelastic parameters on pore structure --
5.7 Conclusions and future directions --
5.8 References.
Series Title: Modeling and simulation in science, engineering & technology.
Responsibility: edited by Konstantin Markov, Luigi Preziosi.

Abstract:

A survey of the major topics surrounding the modeling and analysis of problems in micromechanics of multicomponent systems, including conceptual and practical aspects. It provides both specialists  Read more...

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