ebook ebooks e-book e-books downloaden bei MyEbooks.ch downloaden

IUTAM Symposium on Scaling in Solid Mechanics Proceedings of the IUTAM Symposium held in Cardiff, UK, 25-29 June, 2007

:	GML Gladwell, R. Moreau, J. Engelbrecht, LB Freund, A. Kluwick, HK Moffatt, N. Olhoff, K. Tsutomu, D
:	F. M. Borodich
:	IUTAM Symposium on Scaling in Solid Mechanics Proceedings of the IUTAM Symposium held in Cardiff, UK, 25-29 June, 2007
:	Springer-Verlag
:	9781402090332
:	1
:	CHF 85.40
:

:	Maschinenbau, Fertigungstechnik
:	English

:	310
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

This volume constitutes the Proceedings of the IUTAM Symposium on 'Scaling in Solid Mechanics', held in Cardiff from 25th to 29th June 2007. The Symposium was convened to address and place on record topical issues in theoretical, experimental and computational aspects of scaling approaches to solid mechanics and related elds. Scaling is a rapidly expanding area of research having multidisciplinary - plications. The expertise represented in the Symposium was accordingly very wide, and many of the world's greatest authorities in their respective elds participated. Scaling methods apply wherever there is similarity across many scales or one need to bridge different scales, e. g. the nanoscale and macroscale. The emphasis in the Symposium was upon fundamental issues such as: mathematical foundations of scaling methods based on transformations and connections between multi-scale approaches and transformations. The Symposium remained focussed on fundam- tal research issues of practical signi cance. The considered topics included damage accumulation, growth of fatigue cracks, development of patterns of aws in earth's core and inice, abrasiveness of rough surfaces, and soon. The Symposium consisted of forty-two oral presentations. All of the lectures were invited. Full record of the programme appears as an Appendix. Several of the lectures are not represented, mainly because of prior commitments to publish elsewhere. The proceedings p- vide a reasonable picture of understanding as it exists at present. The Symposium showed that scaling methods cannot be reduced solely to dimensional analysis and fractal approaches.

	Preface	5
	Contents	7
	Contributors	10
	Universal Effective Toughness Distribution for Heterogeneous Brittle Materials	14
	1 Introduction	14
	2 Crack Depinning as a Critical Phenomenon	15
	3 Analysis of Indentation Data	19
	4 Conclusions	21
	References	22
	Scaling Transformations in Solid Mechanics	24
	1 Introduction	24
	2 Similarity, Dimensional Analysis and Homogeneity	26
	3 Non-Classical Scalings	30
	4 Conclusion	37
	References	37
	Mathematical Foundations of Non-Classical Extensions of Similarity Theory	40
	1 Introduction	40
	2 Non-Classical Extensions	42
	3 Summary	46
	4 Conclusion	47
	References	47
	Perturbing Paths of Slow Cracks in PMMA by Local Heating	49
	1 Introduction	49
	2 Experimental Procedures	50
	3 Quasi-Static Cracks Under Tensile Loading	53
	4 Redirection of Quasi-Static Cracks Using Secondary Loading	56
	5 Discussion	58
	References	59
	Multiscale Hybrid Materials with Negative Poisson’s Ratio	60
	1 Introduction	60
	2 Negative Poisson’s Ratio in Granulate Materials	62
	3 Negative Poisson’s Ratio of Material with Multiscale Distribution of Non-Sliding Cracks	64
	4 Hybrid Material with Multiscale Distribution of Negative Poisson’s Ratio Inclusions	66
	5 Conclusions	67
	References	68
	Modelling of Size Effects with Gradient-Enriched Continuum Theories	70
	1 Introduction	70
	2 Gradient Theories	71
	3 Strain Concentrations in the Elastic Field	72
	4 Peak Loads of Notched and Unnotched Beams	74
	5 Energy Dissipation in Elementary Volumes	76
	6 Conclusions	78
	References	79
	Internal Variables and Scale Separation in Dynamics of Microstructured Solids	80
	1 Introduction	80
	2 Local Balance Laws	81
	3 Canonical Thermomechanics on the Material Manifold	82
	4 Internal Variables	84
	5 Scale Separation	86
	6 Example: Microstructure in One-Dimension	87
	7 Conclusions	90
	References	90
	On Rational Boundary Conditions for Higher-Order Long-Wave Models	92
	1 Introduction	92
	2 Governing Equations	93
	3 Essential Boundary Conditions	96
	4 Concluding Remarks	100
	References	100
	Scaling of Physical Processes in Fluid-Driven Fracture: Perspective from the Tip	102
	1 Introduction	102
	2 The Tip Boundary Layer Problem	103
	3 Scaling of Non-Dominant Processes in the Global Fracture Solution	106
	References	110
	Space and Time Scaling Laws Induced by the Multiscale Fracturing of The Arctic Sea Ice Cover	112
	1 Introduction	112
	2 Scaling of Sea Ice Dispersion and Deformation	113
	3 A Multiscale Statistical Model of Sea Ice Fracturing and Deformation	114
	4 The Contribution of Small vs Large Events to Global Sea Ice Deformation	118
	5 Conclusion	119
	References	119
	Similarity Approach to Hertz Type Contact Problems	121
	1 Introduction	121
	2 The Classic Elastic Contact Problems	122
	3 Contact Problem Between a Punch and an Incompressible Isotropic Plastic (Nonlinearly Elastic) Half-Space	125
	4 Contact Problems in the Case of Linear Creep of Materials	126
	5 Generalizations of Similarity Methods in Hertz Type Contact	127
	6 Self-Similar Problems of Elastic Contact for Non-Convex Punches	128
	7 Some Engineering Applications	129
	8 Conclusion	130
	References	131
	Multiscale Modelling in Contact Mechanics	133
	1 Introduction	133
	2 Two-Scales Analysis in Normal Contact of Elastic Bodies with Rough Surfaces	134
	3 Multiscale Approach toWear Modeling	137
	4 Conclusions	143
	References	143
	Recent Progress in Energetic Probablistic Scaling Laws for Quasi-Brittle Fracture	145
	1 Introduction	145
	2 Conspectus of Main Results	146
	3 Review of Size Effect in Weakest Link Model and Its Asymptotics	149
	4 Size Effect on Mean Strength via Asymptotic Matching	150
	5 Grafted Weibull-Gaussian Strength Distribution for any Size	151
	6 Size Effect on Structure Lifetime	152
	7 Closing Comments	154
	References	154
	The Fractal-Statistical Nature of Size-Scale Effects on Material Strength and Toughness	155
	1 Introduction	155
	2 Size Scale-Effect on the Tensile Strength of Bodies Containing Many Imperfections	156
	3 Size-Scale Effect on Fracture Energy of Grained Materials	158
	4 The Case of Imperfect Similarity	160
	5 On the Upper Cut-Off of the Maximum Defect (or Grain) Size	161
	6 Monte Carlo Numerical Simulations	162
	7 Conclusions	163
	References	164
	Scaling Laws for Properties of Materials with Imperfect Interfaces	166
	1 Introduction	166
	2 Scaling Laws for Elastic Properties	167
	3 Scaling Laws for Conductivities	169
	4 Conclusions	171
	References	171
	Burst Statistics as a Criterion for Imminent Failure	173
	1 Introduction	173
	2 Fiber Bundle Model	174
	3 Burst Statistics in the Fuse Model	179
	4 Concluding Remarks	181
	References	182
	Scaling in Damage Accumulation	184
	1 Accumulation of Radiation Defects and Thermofatigue Microcracks	185
	2 Multiple Fracture Under Tension	187
	3 Acoustic Properties of Low Carbon Steel Under Tension