8 edition of Elastic media with microstructure found in the catalog.
|Statement||Isaak A. Kunin.|
|Series||Springer series in solid-state sciences ;, 26|
|LC Classifications||QA931 .K8913 1982|
|The Physical Object|
|Pagination||v. <1-2 > :|
|LC Control Number||81018268|
In the proposed approach, an explicit description of the porous microstructure, as well as the distribution of the capillary liquid phase during drying is taken into account. In this context, the shrinkage/swelling is a consequence of the capillary pressure and surface tension effects on the elastic skeleton. Continuous Media with Microstructure. by Bettina Albers English | | ISBN: X | pages | PDF | MB. English | | ISBN: X | pages.
The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. The subject discussed in this book is the stability of thin-walled elastic systems under static loads. The presentation of these problems is based on. Our Stores Are Open Book Annex Membership Educators Gift Cards Stores & Events Help Elastic Media with Microstructure I: One-Dimensional Models.
The role of microstructure was emphasized in scattering problems associated with systems possessing many defects (scatterers) or in waves by Karp & Karal, Hills, Hills & Karp and Slepyan [11,12]. Kunin [5,6] made a fundamental contribution to the theory of elastic media with microstructure. In particular, Green's functions (or Green's tensors. Microstructure Evolution in Three-Dimensional Inhomogeneous Elastic Media Xiaofan Li 1 and John Lowengrub2 and Qing Nie3 and Vittorio Cristini4 and Perry Leo5 Version: Septem 1Department ofApplied Mathematics, Illinois Institute Technology, Chicago, IL, [email protected] 2School ofMathematics, University Minnesota, Minneapolis, MN.
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The Elastic media with microstructure book is devoted to a systematic investigation of effects of microstructure, inner degrees of freedom and nonlocality in elastic media.
The propagation of linear and nonlinear waves in dispersive media, static problems, and the theory of defects are considered in by: The book is devoted to a systematic investigation of effects of microstructure, inner degrees of freedom and nonlocality in elastic media.
The propagation of linear and nonlinear waves in dispersive media, static problems, and the theory of defects are considered in detail.
Elastic Media with Microstructure II: Three-Dimensional Models (Springer Series in Solid-State Sciences) Softcover reprint of the original 1st ed.
Edition by Isaak A. Kunin (Author). Additional Physical Format: Online version: Kunin, I.A. (Isaak Abramovich), Elastic media with microstructure. Berlin ; New York: Springer-Verlag, Elastic Media with Microstructure II Three-Dimensional Models. Authors (view affiliations) Isaak A.
Kunin. *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. When there is a need to describe microstructure effects of the type indicated above the strongly nonlocal elasticity is more adequate physically and (paradoxically) more convenient from a mathematical point of view.
References I. KUNIN, I.A., Elastic Media with Microstructure, Berlin, Springer, Vol. I, ; Vol II, I.A. KUNIN 2.
A critical analysis of foundations and domain of applicability of the theory of elastic media with microstructure and nonlocal elasticity is given.
Wave Propagation in Elastic Media with Micro/Nano-Structures Numerical simulation The accuracy of the microstructure continuum model for material 1 as described by Eqs.
(2) and (3) or equivalently by Eqs. (4) and (5) can be evaluated by studying harmonic wave propagation in. Continua with microstructure: Cosserat theory Article in European Journal of Environmental and Civil Engineering 14() September with 74 Reads How we measure 'reads'.
Microstructural Evolution in Inhomogeneous Elastic Media duced by solid state diffusional transformations in elastically The details of the microstructure greatly inﬂuence the ma-stressed binary alloys in two dimensions. The microstructure con-terial. The book of Ciarletta and Iesan  contains a good development of the isothermal theory.
The incremental problem in the classical thermoelasticity was proposed and studied by Martinez and. One-dimensional models of elastic media possessing microstructure are studied, and a nonlocal theory of elasticity is developed.
The theoretical models are classified in terms of explicit and implicit nonlocality, weak and strong nonlocality, discrete and continuous structure, simple and complex structure, approximations, and relationships to the classical model of elastic media.
One can find extended discussion of the integral form of equations of solid body mechanics and restrictions on the form of kernel in “Theory of elastic media with microstructure. Nonlocal theory of elasticity. (In Russian); I. Kunin, Elastic Media with Microstructure I. Elastic surface waves in a half-space and a layer.
Waves on curved surfaces. Surface waves in non-local media and in media with a microstructure. Surface elastic waves, with consideration of quantum effects. Random surface waves. Surface waves in piezo-electric materials and piezosemiconductors. Local Defects.- General Scheme.- Impurity Atom in a Lattice.- Point Defects in a Quasicontinuum.- System of Point Defects.- Local Inhomogeneity in an Elastic Medium.- Homogeneous Elastic Medium.- The Interface of Two Media.- Integral Equations for an Inhomogeneous Medium.- Ellipsoidal Inhomogeneity.- Based on the theoretical investigation, the following phenomena have been shown to exist in the media with microstructure: formation of nonlinear stationary waves, in particular, formation of deformation solitons; resonance interactions of a longitudinal wave with the waves of longitudinal rotation and the shear-rotation waves, as well as other.
Scattering of leaky Rayleigh wave from a flat fluid–solid interface is studied. The fluid half‐space is taken to be ideal and homogeneous while the solid half‐space has randomly inhomogeneous aniso. The role of microstructure was emphasized in scattering problems associated with systems possessing many defects (scatterers) or in waves by Karp & Karal , Hills , Hills & Karp andSlepyan[11,12].
Kunin [5,6] made a fundamental contribution to the theory of elastic media with microstructure. Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all publications for the Publisher/Society in context.
Publishers; Kunin, Elastic Media with Microstructure II (Springer-Verlag, Berlin, ). The propagation of Love-type waves in a nonlocal elastic layer with voids resting over a nonlocal elastic solid half-space with voids has been studied.
Dispersion relations are derived using appropriate boundary conditions of the model. It is found that there exist two fronts of Love-type surface waves that may travel with distinct speeds.This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations.
the following phenomena have been shown to exist in the media with microstructure: formation of nonlinear stationary waves, in.James G. Berryman, Measures of microstructure to improve estimates and bounds on elastic constants and transport coefficients in heterogeneous media, Mechanics of Materials, /t, 38,(), ().