Iutam Symposium On Nonlinear Analysis Of Fracture: Proceedings Of The Iutam Symposium Held In Cambridge, U.k., 3-7 September 1995 (solid Mechanics And Its Applications)

This volume constitutes the Proceedings of the IUTAM Symposium on 'Nonlinear Analysis of Fracture', held in Cambridge from 3rd to 7th Septem­ ber 1995. Its objective was to assess and place on record the current state of understanding of this important class of phenomena, from the standpoints of mathematics, materials science, physics and engineering. All fracture phenomena are nonlinear; the reason for inclusion of this qualification in the title was to reflect the intention that emphasis should be placed on distinctive aspects of nonlinearity, not only with regard to material consti­ tutive behaviour but also with regard to insights gained, particularly from the mathematics and physics communities, during the recent dramatic ad­ vances in understanding of nonlinear systems in general. The expertise represented in the Symposium was accordingly very wide, and many of the world's greatest authorities in their respective fields participated. The Symposium remained focussed on issues of practical significance for fracture phenomena, with concentration on aspects that are still im­ perfectly understood. The most significant unifying issue in this regard is that of scale: this theme was addressed from several perspectives. One important aspect is the problem of passing information on one scale up or down, as an input for analysis at another scale. Although this is not always the case, it may be that the microscopic process of fracture is understood in some particular class of materials. Front Matter....Pages i-x Scaling in Nonlinear Fracture Mechanics....Pages 1-12 Scaling Effects in the Fracture of Quasi-Brittle Materials and Structures....Pages 13-22 Constraint Estimation for Edge Cracked Bend Bars....Pages 23-32 Finite Element Analysis of a Bi-Material Sent Specimen Under Elastic-plastic Loading....Pages 33-42 Geometry and Size Effects in Ductile Fracture — Fem Studies and Theoretical Considerations....Pages 43-52 Mechanism-Based Cell Models for Fracture in Ductile and Ductile/Brittle Regimes....Pages 53-64 Effects of Size Scale on Fracture Processes in Engineering Materials....Pages 65-79 Closing in on the Crack Tip....Pages 81-91 Relations between Crack Growth Resistance and Fracture Process Parameters Under Large Scale Yielding....Pages 93-104 The Effect of Geometry and Size on the Growth of Ductile Fracture....Pages 105-114 Interfacial Cracking in Thermomechanically Loaded Elastoplastic Bimaterials....Pages 115-124 Conditions of Crack Arrest by Interfaces....Pages 125-133 Dynamic Crack Growth in Inelastic Solids with Application to Adiabatic Shearbands....Pages 135-140 Dynamically Growing Shear Bands in Metals: A Study of Transient Temperature and Deformation Fields....Pages 141-150 The Two-Dimensional Structure of Dynamic Boundary Layers and Shear Bands in Thermoviscoplastic Solids....Pages 151-162 Earthquakes, Fracture, Complexity....Pages 163-175 Micro-Branching as an Instability in Dynamic Fracture....Pages 177-189 Instabilities in Dynamic Fracture....Pages 191-199 Radial Crack Dynamics with Closure....Pages 201-210 Numerical Studies of Fast Crack Growth in Elastic-Plastic Solids....Pages 211-220 Dynamic Crack Growth in Viscoplastic Materials....Pages 221-230 Near-Tip Fields for Cracks in Materials with Strain Gradient Effects....Pages 231-243 Non-Linear Damage Evolution and Failure in Materials....Pages 245-255 Structure-Sensitive Properties of Materials....Pages 257-264 The Statistics of Failure Probability in Heterogeneous Materials with Tough—to—Brittle Crossover....Pages 265-274 Computer Modelling of Disordered Plastic and Viscoelastic Systems....Pages 275-284 Kinetic Transitions in Ensembles of Defects (Microcracks) and Some Nonlinear Aspects of Fracture....Pages 285-298 On Continued Void Growth in Ductile Metals Subjected to Cyclic Loadings....Pages 299-310 Phase Transitions in Fracture and Crystallization Processes....Pages 311-320 Nonlinear Crack-Bridging Problems....Pages 321-331 Notch Strength of Ceramic Composites: Long Fibers, Stochastics, Short Fibers....Pages 333-342 Nonlinear Analysis of Interfacial Cracks....Pages 343-352 Matrix Cracking in Ceramic Matrix Composites with Creeping Fibers....Pages 353-365 Fiber Fragmentation in a Single Filament Composite and the Strength of Fiber-Reinforced Ceramics....Pages 367-378 Predicting Non-Linear Behaviour in Multiple-Ply Cross-Ply Laminates Resulting from Micro-Cracking....Pages 379-390 Back Matter....Pages 391-398 This text records the Proceedings of the IUTAM Symposium held in Cambridge in 1995. It contains 35 articles by leading authorities and addresses the modelling of fracture from a variety of perspectives, ranging over mechanics, material science, physics, geophysics, and nonlinear dynamics. The most important single practical question that is addressed is that of scale. This is considered in relation to nonlinear material behaviour, micromechanics and statistical variations, and the interaction of these aspects. Certain parts of the subject have recently experienced significant advance, from one or other of the standpoints of physics, materials science or mechanics. This book is intended to contribute towards the wider dissemination of these advances and the development of a unified perspective. It will be useful to those active in research in fracture who wish to gain an overview of the subject, taking advantage of insights gained from the whole range of this expertise