28-1) MESO-MICRO-SCALE FRACTURE

GROSS, D.
Technical University Darmstadt
Darmstadt - Germany

YU, Shouwen
Tsinghua University
Beijing - China

Abstract
This Mini-Symposium focus on the fracture and damage, the size effects and the linking scale of meso-micro scale fracture; the computational and experimental fracture mechanics, the application of the meso-micro-scale fracture and damage analysis to the thin film and some advanced materials. Four sessions in this Mini-Symposium are shown as: Session I -Meso-Micro-Scale Failure; Session II -- Meso-Micro Scale fracture of advanced materials; Session III -- Meso-Micro-Scale Fracture of thin film; Session IV--Meso-Micro-Scale computational Fracture Mechanics

INDEX

MESO-MICRO-SCALE-FRACTURE

FRACTURE PROCESS VOLUME AND TRANSFERABILITY

PHYSICAL MESOMECHANICS OF FRACTURE

MESOFRACTURE MECHANICS


28-2) FRACTURE PROCESS VOLUME AND TRANSFERABILITY
 

 
TOTH, Laszlo
Zoltan Institute for logistics and production systems
Miskolc Tapolca - Hungary

PLUVINAGE, G.

Universite de Metz - Laboratoire de Fiabilité Mécanique
Metz Cedex - France
pluvina@sciences.univ-metz.fr

Abstract
The concept of fracture process volume was introduced with the so called “local fracture criteria”. First the fracture process volume was considered as cylindrical with a diameter equal to a microstructural distance (grain size, bainite or martensite lath size etc). This diameter was called “characteristic distance and was succesfully applied for very brittle material in famous local fracture criterion from Ritchie, Knott and Rice (RKR) or Krassowsky and Pissarenko. For situation where fracture occurs with some amount of plasticity, it has been considered that the fracture process volume is greater than the microstructure and was first associated with the plastic zone. More recent approaches considers that the fracture process volume is associated with the “high stress region” where the stress distribution decreases from maximum to 90 or 85 % of this value. A more recent approach consider that the fracture process volume is connected with some inflexion point in the stres distribution (The volumetric method).
In addition to the difficulty to define the fracture process volume, Determination of fracture stress acting in this volume is also problematic. This fracture stress was first the maximum stress acting at a blunted crack. The average value of the stress distribution in the plastic zone (arithmetic or statistic like Weibull stress) was later use. Now average value of weight stresses (i.e. stress multiply by weight function incorporating stress gradient hydrostatic pressure) have been recently used.
In the very recent mesofracture approach, the average value in the fracture process volume is considered as influenced by the average stress state inside neighbouring adjacent mesovolumes. This approach is a tentative to solve the general problem of transferability including loading mode, scale effects, geometrical effect, and geometrical curvature. However, this approach needs more than two parameters like classical local fracture criterion.
 

28-3) PHYSICAL MESOMECHANICS OF FRACTURE
 

 
FOMIN, Vasilii M.
Institute of Theoretical and Applied mechanics
Novosibirsk - Russia

MAKAROV, Pavel V.

Institute of Strength Physics and Materials
Tomsk - Russia

PANIN, Victor E.
Institute of Strength Physics and Materials
Tomsk - Russia

PSAKHIE, Sergey G.
Institute of Strength Physics and Materials
Tomsk - Russia

Abstract
In physical mesomechanics of fracture any solid under loading is considered as a self-organized multilevel system where plastic flow and fracture develop as consecutive stages of shear stability loss at micro-, meso- and macroscale levels. Key role in multilevel model of fracture is related to rotations of mesovolumes of different scales. Special attention is paid to macrolocalization of plastic flow at the prefracture stage. Surface layers are considered in fracture mesomechanics as an important structural level, especially under fatigue fracture.
 

28-4) MESOFRACTURE MECHANICS
 

 

SIH, George C.
East China University of Science and Technology
Shanghai - China

TANG, X. S.

SPYROPOULOS,C. P.

UEDA, S. 

VU-KHANH, T.

NAIT ABDELAZIZ, M.

TU, S. T.

CHUE, C. H.

NOBILE, L.

JEONG, D.


Abstract
The traditional concept of structural and machine design has relied on the testing of small specimens for determining the material properties such that the data can be translated to the design of full scale structures. This philosophy has prevailed for centuries until the 1950s when the dramatic failure of large size structures has caused a great concern to the designers as well as the public at large. In particular, the unexpected loss of the Comet jet airliners and ships have indicated the need to consider the conditions under which a critical size (not necessarily the largest) defect can lead to catastrophic fracture. Such a concern has led to the development of the discipline of fracture mechanics. An initial defect in the form of a line crack has thus been adopted into material testing.
The recognition of energy saving and efficient use of materials has demanded a better understanding of the material micro- and nano-structure where non-homogeneity cannot be ignored. This trend has broadened the size scale of investigation from meters to microns, the size at which miniature electronics devices will be made. Their operational reliability must also be addressed. This raises the concern whether the same underlying physics and practice in technology at the macroscopic scale would remain valid for the smaller devices. The conventional material properties are based on the averages of the bulk and their association with the local properties where inhomogeneity plays a role is not precisely known. This calls for added attention for the transfer of information from one scale to the next possibly without substantial transient effects. Mesomechanics attempts to achieve this goal.
One of the difficulties is that scale shifting cannot be divorced from material damage. Stated more bluntly is that the damage also occurs between the macro- and micro-scale. The interim region shall be referred to as the mesoscopic zone and the corresponding discipline shall be known as Mesofracture Mechanics. This volume is devoted to the description of failure by cracking in the cross-scale region that is neither macroscopic nor microscopic. The size of this transition region can be large and small; it depends on the rate of load transfer, geometry and material. Since non-equilibrium mechanics is still beyond the common knowledge of the engineering community, each scale including the meso zone will be analyzed by equilibrium mechanics where the material properties are assumed to be measurable by performing tests under the adiabatic or reversible isothermal thermodynamic processes. The restrictions of these simplifying assumptions must be kept in mind because they will certainly be violated when the size and time scales are made smaller and smaller.
This volume on Mesofracture Mechanics contains twenty papers attempts to address material damage by cracking in materials and environments that would likely to be contained in the meso zone where the conventional fracture criteria may cease to be valid as they will yield unphysical results. Unlike the macroscopic scale where mechanical effects may dominate, other energy fields such electrical, magnetic or the combination may play a role, particularly when anisotropy and inhomogeneity must be considered. Moreover, the discrete character of the material microstructure takes precedent. The process of averaging the bulk material properties to which continuum mechanics relies on ceases to be valid. These fundamental issues are still in debate and will not be settled in the foreseeable future. Hence, Mesofracture Mechanics emphasizes the scale shifting aspects of fracture mechanics, particularly when the size is reduced and time is stepped up.

 



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