Continuum Models and Discrete Systems
Proceedings of the NATO ARW, Shoresh, Israel, from 30 June to 4 July 2003
(Sprache: Englisch)
Proceedings of the NATO ARW, Shoresh, Israel, from 30 June to 4 July 2003
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Proceedings of the NATO ARW, Shoresh, Israel, from 30 June to 4 July 2003
Klappentext zu „Continuum Models and Discrete Systems “
The Tenth International Symposium on Continuum Models and Discrete Systems (CMDSIO) took place at the Shoresh Holiday Complex in Shoresh, Israel, near the Capital City Jerusalem, from 30 June until 4 July 2003. The previous symposia in this series were: CMDS 1 (Kielce, Poland, 1975) CMDS2 (Mont Gabriel, Canada, 1977) CMDS3 (Freudenstadt, German Federal Republic, 1979) CMDS4 (Stockholm, Sweden, 1981) CMDS5 (Nottingham, England, 1985) CMDS6 (Dijon, France, 1989) CMDS7 (Paderborn, Germany, 1992) CMDS8 (Varna, Bulgaria, 1995) CMDS9 (Istanbul, Turkey, 1998) As in the previous symposia, participation was by invitation from the Inter national Scientific Committee. Participants were chosen from a list of recom mendations of the committee members, as well as from applications following advertisement of the symposium on the internet and in email messages to po tential participants. The members of the International Scientific Committee were: Karl-Heinz Anthony CMDS7 Chairman (University ofPaderborn, Germany) David J. Bergman, Conference Chairman (Tel Aviv University, Israel) Bikas K. Chakrabatii (Saha Institute of Nuclear Physics Calcutta, West Bengal, India) Hans Jurgen Herrmann (University of Stuttgart, Germany; and ESPCI, Paris, France) Esin Inan, CMDS9 Chairwoman (Istanbul Technical University, Istanbul, Turkey) Dominique Jeulin (ENSMP, Fontainebleau, France) Mark Kachanov (Tufts University, Boston, MA, USA) David Kinderlehrer (Carnegie-Mellon University, Pittsburgh, PA, USA) Arnold M. Kosevich (B. Verkin Institute for Low Temperature Physics, Khat"kov, Ukraine) Valery M. Levin (Petrozavodsk State University, Petrozavodsk, Russia) Konstantin Z.
The interplay between discrete and continuum descriptions of physical systems and mathematical models is one of the more long lasting paradigms in the physical sciences as well as in the mathematical sciences. This is exemplified by the sequence of CMDS (Continuum Models and Discrete Systems) conferences, of which this volume summarizes the tenth conference (CMDSIO), which took place in Shoresh, Israel, in June 2003. It contains 65 articles, written by the various participants in this conference. These are scientists who are doing scientific research in Physics, Mathematics, Mechanics, Engineering, Earth Sciences, etc.
Topics covered include models for growth and evaporation of thin films, mechanical and electrical properties of composite media, defects and inhomogeneities in solids, mechanisms for mechanical and electrical failure of solids, earthquakes, dynamics of defects, fluid flow and rheology in porous soils and granular media, elasticity and force chains in granular media, percolation problems, models for desertification phase transition in arid climates, the reliability and faithfulness of continuum models for discrete phenomena, etc.sical sciences as well as in the mathematical sciences. This is exemplified by the sequence of CMDS (Continuum Models and Discrete Systems) conferences, of which this volume summarizes the tenth conference (CMDSIO), which took place in Shoresh, Israel, in June 2003. It contains 65 articles, written by the various participants in this conference. These are scientists who are doing scientific research in Physics, Mathematics, Mechanics, Engineering, Earth Sciences, etc.
Topics covered include models for growth and evaporation of thin films, mechanical and electrical properties of composite media, defects and inhomogeneities in solids, mechanisms for mechanical and electrical failure of solids, earthquakes, dynamics of defects, fluid flow and rheology in porous soils and granular media, elasticity and force chains in granular media, percolation
Topics covered include models for growth and evaporation of thin films, mechanical and electrical properties of composite media, defects and inhomogeneities in solids, mechanisms for mechanical and electrical failure of solids, earthquakes, dynamics of defects, fluid flow and rheology in porous soils and granular media, elasticity and force chains in granular media, percolation problems, models for desertification phase transition in arid climates, the reliability and faithfulness of continuum models for discrete phenomena, etc.sical sciences as well as in the mathematical sciences. This is exemplified by the sequence of CMDS (Continuum Models and Discrete Systems) conferences, of which this volume summarizes the tenth conference (CMDSIO), which took place in Shoresh, Israel, in June 2003. It contains 65 articles, written by the various participants in this conference. These are scientists who are doing scientific research in Physics, Mathematics, Mechanics, Engineering, Earth Sciences, etc.
Topics covered include models for growth and evaporation of thin films, mechanical and electrical properties of composite media, defects and inhomogeneities in solids, mechanisms for mechanical and electrical failure of solids, earthquakes, dynamics of defects, fluid flow and rheology in porous soils and granular media, elasticity and force chains in granular media, percolation
Inhaltsverzeichnis zu „Continuum Models and Discrete Systems “
- Dedication v - Preface xiii
- In Memoriam of Ekkehart Kroener xv
- In Memoriam of Konstantin Zdravkov Markov xvii
- Acknowledgment xx
Part 1
- Thermodynamics, transport theory, and statistical mechan ics GL Noise in non-Ohmic regimes of disordered systems (abstract) 3
- Kamal K. Bardhan and Chandidas Mukherjee RC Coupled tent and logistic maps: Lyapunov exponents, stability and bifur cations of invariant set belonging to the map diagonal 5
- Vladimir A. Dobrynskiy RC Self-assembied 2D dipole clusters (abstract) 13
- M. Golosovsky Y Saado, Y Neve-Oz and D. Davidov RC Transforming to chaos by forma! forms 15
- Avadis Hacinliyan Nazim Ziya Perdahci, Gokhan Sahin, H. Ahmet Yildirim RC Representative volume element: A statistical point of view (not presented) 21
- Dominique Jeulin Toufik Kanit, and Samuel Forest RC Diffusion mediated transport and the Brownian motor 29
- David Kinderlehrer RC A phase field system with memory 37
- Amy Novick-Cohen RC Pattern formation, reconstruction, and roughening on a catalytic surface (abstract) 43
- M. Monine and L. M. Pismen viii CONTINUUM MODELS AND DJSCRETE SYSTEMS
Part II Continuum mechanics of complex fluids and deformable solids with microstructure RC The special electrical properties and the corresponding applications of car bon black-polymer composites 47
- 1. Balberg RC Continuum field model of defect-induced heterogeneities in a strained thin layer 55
- Mikhail Belogolovskii Gennadij Akimov, Yurii Komysa, Paul Seidel OL The effective conductivity of densely packed high contrast composites 63
- Yuliya Gorb and Leonid Berlyand RC Simple algebraic approximations for the effective elastic moduli of a cubic array of spheres 75
- Israel Cohen and David J. Bergman RC Geometrical factors affecting the bulk electrical properties of soils and rocks: Measurements and continuum mean field computations (abstract) 81
- Shmulik 1'. Friedman Scott B. Jones, and David A. Robinson RC Information theoretical
... mehr
sliding window optimization applied to discretiza tion of continuous signals (abstract) 83
- Huseyin Goksu and Donald C. Wunsch RC Dispersive durable systems: The technology of synthesis with given prop erties 85
- Ramiz A. Hasanov RC Artificial "magnetic atoms" for microwave composite materials 99
- E. 0. Kamenetskii R. Shavit, and M. Sigalov RC Effective properties of matrix composite materials with high volume con- centrations of inciusions (abstract) 105
- Sergey K. Kanaoun RC On the effective constants of inhomogeneous poroelastic medium 107
- v M. Levin and J. M. Alvarez-Tostado RC On the solution of the inhomogeneous Helmholtz wave equation for ellip soidal sources 115
- T M. Michelitscj J. Wang, H. Gao, and V M. Levin RC Computational mesomechanics of materials 123
- Leon Mishnaevsky Jr Contents ix RC Non-homogenization approach to the analysis of periodic elastic systems:
Applications to fracture mechanics and topological optimization 129
- Michael Ryvkin Moshe Fuchs, Fabian Lipperman, and Eyal Moses RC Plasmonic nanoantennas (abstract) 135
- Andrey K. Sarychev and Vladimir M. Shalaev RC Effective conductivity of non-linear composites and electrical breakdown 137
- A. Snarskii and M. Zhenirovsky RC Exact relations between macroscopic moduli of composite media in n di- mensions 143
- Yakov M. Strelniker and David J. Bergman RC Local field effects and optical susceptibility of composite media 151
- Gregory Surdutovich RC On the approximation theorem for functionals and the asymptotic stability for some classes of polynomial fluids 159
- Victor Tigoiu RC The lattice-gas model in micro- aero-hydrodynamics problems 165
- Yuriy K. Tovbin RC Computation of ground bearing capacity from shear wave velocity 173
- Ergun Turker RC Boundary element method applied to some multiphase fiows (abstract) 181
- D. V Yevdokymov
Part III Continuum theory of living structures GL Noisy reaction-diffusion models and their biological implications (abstract) 185
- Herbert Levine GL Engineered self-organization in natural and man-made systems 187
- Nadav Raichinan, Tamir Gabay, Yael Katsir Yoash Shapira, and Eshel Ben-Jacob
Part IV Dislocations and plasticity RC Annealing of dislocations in two dimensions-partial universality 209
- Nathan A rgaman RC Elasto-plastic models with dislocations based on configuration with torsion2l5 Sanda Cleja-Tigoiu x CONTINUUM MODELS AND DISCRETE SYSTEMS RC Spin Effects in Plasticity (abstract) 221
- v Fleurov and M. Molotskii RC Molecular model of rupture of a macromolecular chain of a loaded oriented crystalline polymer 223
- Ulmas Gafurov RC A molecular dynamics and an elastic continuum study of serew disloca tions in copper 231
- D.Mordeh 1. Kelson, G. Makov
Part V Fundamentals of fracture, defect dynamics, fatigue, and crack dynamics on different microlevels RC Damage mechanisms and fracture of glass at the nanometer scale (abstract)239 E. Bouc/ E Celarie, S. Prades, D. Bonamy, C. Guillot, C. Marliere GL The generation of non-trivial fracture surface in the dynamic fracture of brittie materials (extended abstract) 241
- JayFineberg Amir Sagy, Ariel Livne, and Gil Cohen RC Prediction possibility in the fractal overlap model of earthquakes 245
- Srutarshi Pradhan, Pinaki Choudhuri, and Bikas K. Chakrabarti GL Dynamical instabilities of quasi-static crack propagation under thermal stress (abstract) 251
- Itamar Procaccia RC Inclusion based modeling of concrete with various aggregate volume frac tions 253
- M. A. Tasdçj S. Akyuz, E Bayrainov, A. S. Agar
Part VI New developmeuts in continuum theory, non-classical mathematical models, and discrete vs. continuum models RC Analysis of stochastically heterogeneous microbeams by a functional per- turbation method 261
- Eli Altus RC Modeling infiltration during soil sea! formation: Effects of sea! non-uniformity in depth and soil heterogeneity in space (abstract) 269
- S. Assouline Y Mualem RC A fractal model for analyzing satellite-radar-altimetry images of the sea surface 271
- Doron E. Bar and Yehuda Agnon Contents xi RC Diffusion equation with fractional time derivative-physical sense and practical realization (abstract) 277
- E. M. Baskin and G. V Zilberstein GL Theory of a naturally diserete model for DNA elasticity that accounts for the dependence of the mechanical properties of DNA on nucleotide sequence (abstract) 279
- Bernard Ii Coleman RC Integral representations for solutions of some nonciassical one dimensional pseudoparabolic problems 281
- Esin man Seyidali S. Akhiev RC Phononic band gap properties of doubly periodic arrays of coated inclu sions 287
- S. B. Platts and N. V Movchan RC Adaptation of autocatalytic reactants to discrete catalysts (abstract) 295
- Nadav Shnerb GL How faithful are continuum models to discrete systems? Some strange rigorous results and their obvious real life applications (abstract) 297
- Sorin Solomon GL Bridging micro and macro scales in fluids 299
- Peng Yu, Shiomo Ta '
Part VII Granular material: Statics and dynamics RC What controls the rheology of granular materials? (abstract) 313
- Einat Aharonov GL Elasticity and force chains 315
- LGo1dhfr C. Goldenberg GL Restructuring of force networks 327
- Hans J. Herrmann R. Cruz Hidalgo, F Kun RC Hydrodynamics of "thermal" granular convection 341
- Evgeniy Khain RC Force chains and stress in granular materials (abstract) 347
- Dov Levine
Part VIII Percolation problems RC Exact relations between critical exponents for elastic stiffness and electri cal conductivity of percolating networks 351
- xii CONTINUUM MODELS AND DISCRETE SYSTEMS Davidf. Bergman RC Mixed transfer-matrix method for computing the macroscopic conductivity of three-constituent extreme networks: Mixtures of normal conductor, perfect insulator, and perfect conductor 359
- Xiangting Li and David J. Bergman RC Variable range hopping conduction in complex systems and a percolation model with tunneling 367
- Asok K. Sen and Somnath Bhattacharya RC The effective properties of macroscopically inhomogeneous ferromagnetic composites (abstract) 375
- A. Snarskii and M. Zhenirovsky
Part IX Phase transitions and their applications RC Switching transitions in confined liquid crystals 379
- Ohad Levy GL Patterns in drying water films 387
- S. G. Lipson RC Stability of stationary periodic solutions of the convective Cahn-Hilliard equation 399
- A. Podolny, A. A. Nepomnyashchy A. A. Golovin GL A dynamical system approach to aridity and desertification 405
- Erez Gilad, Jost von Hardenberg, Ehud Meron, Moshe Shachak, Yair Zarmi Alphabetical list of conference participants with addresses 419
- Author Index 425onstituent extreme networks: Mixtures of normal conductor, perfect insulator, and perfect conductor 359
- Xiangting Li and David J. Bergman RC Variable range hopping conduction in complex systems and a percolation model with tunneling 367
- Asok K. Sen and Somnath Bhattacharya RC The effective properties of macroscopically inhomogeneous ferromagnetic composites (abstract) 375
- A. Snarskii and M. Zhenirovsky
Part IX Phase transitions and their applications RC Switching transitions in confined liquid crystals 379
- Ohad Levy GL Patterns in drying water films 387
- S. G. Lipson RC Stability of stationary periodic solutions of the convective Cahn-Hilliard equation 399
- A. Podolny, A. A. Nepomnyashchy A. A. Golovin GL A dynamical system approach to aridity and desertification 405
- Erez Gilad, Jost von Hardenberg, Ehud Meron, Moshe Shachak, Yair Zarm
- Huseyin Goksu and Donald C. Wunsch RC Dispersive durable systems: The technology of synthesis with given prop erties 85
- Ramiz A. Hasanov RC Artificial "magnetic atoms" for microwave composite materials 99
- E. 0. Kamenetskii R. Shavit, and M. Sigalov RC Effective properties of matrix composite materials with high volume con- centrations of inciusions (abstract) 105
- Sergey K. Kanaoun RC On the effective constants of inhomogeneous poroelastic medium 107
- v M. Levin and J. M. Alvarez-Tostado RC On the solution of the inhomogeneous Helmholtz wave equation for ellip soidal sources 115
- T M. Michelitscj J. Wang, H. Gao, and V M. Levin RC Computational mesomechanics of materials 123
- Leon Mishnaevsky Jr Contents ix RC Non-homogenization approach to the analysis of periodic elastic systems:
Applications to fracture mechanics and topological optimization 129
- Michael Ryvkin Moshe Fuchs, Fabian Lipperman, and Eyal Moses RC Plasmonic nanoantennas (abstract) 135
- Andrey K. Sarychev and Vladimir M. Shalaev RC Effective conductivity of non-linear composites and electrical breakdown 137
- A. Snarskii and M. Zhenirovsky RC Exact relations between macroscopic moduli of composite media in n di- mensions 143
- Yakov M. Strelniker and David J. Bergman RC Local field effects and optical susceptibility of composite media 151
- Gregory Surdutovich RC On the approximation theorem for functionals and the asymptotic stability for some classes of polynomial fluids 159
- Victor Tigoiu RC The lattice-gas model in micro- aero-hydrodynamics problems 165
- Yuriy K. Tovbin RC Computation of ground bearing capacity from shear wave velocity 173
- Ergun Turker RC Boundary element method applied to some multiphase fiows (abstract) 181
- D. V Yevdokymov
Part III Continuum theory of living structures GL Noisy reaction-diffusion models and their biological implications (abstract) 185
- Herbert Levine GL Engineered self-organization in natural and man-made systems 187
- Nadav Raichinan, Tamir Gabay, Yael Katsir Yoash Shapira, and Eshel Ben-Jacob
Part IV Dislocations and plasticity RC Annealing of dislocations in two dimensions-partial universality 209
- Nathan A rgaman RC Elasto-plastic models with dislocations based on configuration with torsion2l5 Sanda Cleja-Tigoiu x CONTINUUM MODELS AND DISCRETE SYSTEMS RC Spin Effects in Plasticity (abstract) 221
- v Fleurov and M. Molotskii RC Molecular model of rupture of a macromolecular chain of a loaded oriented crystalline polymer 223
- Ulmas Gafurov RC A molecular dynamics and an elastic continuum study of serew disloca tions in copper 231
- D.Mordeh 1. Kelson, G. Makov
Part V Fundamentals of fracture, defect dynamics, fatigue, and crack dynamics on different microlevels RC Damage mechanisms and fracture of glass at the nanometer scale (abstract)239 E. Bouc/ E Celarie, S. Prades, D. Bonamy, C. Guillot, C. Marliere GL The generation of non-trivial fracture surface in the dynamic fracture of brittie materials (extended abstract) 241
- JayFineberg Amir Sagy, Ariel Livne, and Gil Cohen RC Prediction possibility in the fractal overlap model of earthquakes 245
- Srutarshi Pradhan, Pinaki Choudhuri, and Bikas K. Chakrabarti GL Dynamical instabilities of quasi-static crack propagation under thermal stress (abstract) 251
- Itamar Procaccia RC Inclusion based modeling of concrete with various aggregate volume frac tions 253
- M. A. Tasdçj S. Akyuz, E Bayrainov, A. S. Agar
Part VI New developmeuts in continuum theory, non-classical mathematical models, and discrete vs. continuum models RC Analysis of stochastically heterogeneous microbeams by a functional per- turbation method 261
- Eli Altus RC Modeling infiltration during soil sea! formation: Effects of sea! non-uniformity in depth and soil heterogeneity in space (abstract) 269
- S. Assouline Y Mualem RC A fractal model for analyzing satellite-radar-altimetry images of the sea surface 271
- Doron E. Bar and Yehuda Agnon Contents xi RC Diffusion equation with fractional time derivative-physical sense and practical realization (abstract) 277
- E. M. Baskin and G. V Zilberstein GL Theory of a naturally diserete model for DNA elasticity that accounts for the dependence of the mechanical properties of DNA on nucleotide sequence (abstract) 279
- Bernard Ii Coleman RC Integral representations for solutions of some nonciassical one dimensional pseudoparabolic problems 281
- Esin man Seyidali S. Akhiev RC Phononic band gap properties of doubly periodic arrays of coated inclu sions 287
- S. B. Platts and N. V Movchan RC Adaptation of autocatalytic reactants to discrete catalysts (abstract) 295
- Nadav Shnerb GL How faithful are continuum models to discrete systems? Some strange rigorous results and their obvious real life applications (abstract) 297
- Sorin Solomon GL Bridging micro and macro scales in fluids 299
- Peng Yu, Shiomo Ta '
Part VII Granular material: Statics and dynamics RC What controls the rheology of granular materials? (abstract) 313
- Einat Aharonov GL Elasticity and force chains 315
- LGo1dhfr C. Goldenberg GL Restructuring of force networks 327
- Hans J. Herrmann R. Cruz Hidalgo, F Kun RC Hydrodynamics of "thermal" granular convection 341
- Evgeniy Khain RC Force chains and stress in granular materials (abstract) 347
- Dov Levine
Part VIII Percolation problems RC Exact relations between critical exponents for elastic stiffness and electri cal conductivity of percolating networks 351
- xii CONTINUUM MODELS AND DISCRETE SYSTEMS Davidf. Bergman RC Mixed transfer-matrix method for computing the macroscopic conductivity of three-constituent extreme networks: Mixtures of normal conductor, perfect insulator, and perfect conductor 359
- Xiangting Li and David J. Bergman RC Variable range hopping conduction in complex systems and a percolation model with tunneling 367
- Asok K. Sen and Somnath Bhattacharya RC The effective properties of macroscopically inhomogeneous ferromagnetic composites (abstract) 375
- A. Snarskii and M. Zhenirovsky
Part IX Phase transitions and their applications RC Switching transitions in confined liquid crystals 379
- Ohad Levy GL Patterns in drying water films 387
- S. G. Lipson RC Stability of stationary periodic solutions of the convective Cahn-Hilliard equation 399
- A. Podolny, A. A. Nepomnyashchy A. A. Golovin GL A dynamical system approach to aridity and desertification 405
- Erez Gilad, Jost von Hardenberg, Ehud Meron, Moshe Shachak, Yair Zarmi Alphabetical list of conference participants with addresses 419
- Author Index 425onstituent extreme networks: Mixtures of normal conductor, perfect insulator, and perfect conductor 359
- Xiangting Li and David J. Bergman RC Variable range hopping conduction in complex systems and a percolation model with tunneling 367
- Asok K. Sen and Somnath Bhattacharya RC The effective properties of macroscopically inhomogeneous ferromagnetic composites (abstract) 375
- A. Snarskii and M. Zhenirovsky
Part IX Phase transitions and their applications RC Switching transitions in confined liquid crystals 379
- Ohad Levy GL Patterns in drying water films 387
- S. G. Lipson RC Stability of stationary periodic solutions of the convective Cahn-Hilliard equation 399
- A. Podolny, A. A. Nepomnyashchy A. A. Golovin GL A dynamical system approach to aridity and desertification 405
- Erez Gilad, Jost von Hardenberg, Ehud Meron, Moshe Shachak, Yair Zarm
... weniger
Bibliographische Angaben
- 2004, 426 Seiten, Maße: 16,9 x 25 cm, Gebunden, Englisch
- Herausgegeben von Bergman, David J.; Inan, Esin
- Herausgegeben: D. J. Bergman, E. Inan
- Verlag: Springer Netherlands
- ISBN-10: 1402023146
- ISBN-13: 9781402023149
Sprache:
Englisch
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