40-1) COMPLEXITY, SCALING, AND NON-LINEARITY IN THE THERMOMECHANICS OF ADVANCED MATERIALS

CARPINTERI. Alberto
Politecnico di Torino
Dept. of Structural Engineering
Torino - Italy

COLOMBO, L.
Università di Cagliari - Dept. of Physics
Cagliari - Italy

DEL SANTO, P.P.

Politecnico di Torino - Dept. of Physics
Torino - Italy

CLERI, Fabrizio
ENEA, UTS Materiali e Nuove Tecnologie
Roma - Italy
cleri@casaccia.enea.it

Abstract
A given material could be defined "complex" as far as either its structure and its mechanical behaviour are considered.
In the first case, we cope with its micro-/nano-structure which, in turns, makes it possible to classify the material itself as a composite, fiber-reinforced, granular, amorphous, defected, or martensitic one. Under this respect, a complex material is quite a different mechanical object than the homogeneous medium of elementary continuum mechanics.
In the second case, we rather look at the complex response of a material to an arbitrary mechanical load, which could be elastic (both linear and non-linear) or plastic, brittle or ductile, tough or floppy. Such a response is due to a complex hirerachy of phenomena, including the creation, growth, interaction among micro-/nano-defetcs, phase/grain boundaries, lattice damage or even crack propagation (fracture).
In both definitions as above, complexity means - in the specific case of mechanical properties - the superposition of a rich variety of multi-scale events (either in the length and time scales) typically falling beyond the linear response regime. The experimental, theoretical and computational investigation of the above systems/phenomena represents the core activity for the present Mini-Symposium.
In particular, we call for contributions in the field of the fracture mechanics, here looked at as the paradigmatic mechanical event showing complex non-linear behaviour over several length scales. Accordingly, the Mini-Symposium will be focussed on fracture-related phenomena/models, including:
(i) mathematical models aimed at developing constitutive models for the mechanical behaviour in the regime of complexity and non linearity;
(ii) atomistic simulations aimed at drawing a fundamental picture about fracture at the nanoscale;
(iii) algorithms and concepts for bridging the micro/macro length scales.
The above topics are inherently multidisciplinary; such a multidisciplinary character, in fact, represents a key feature of the present Mini-Symposium. In particular, we aim at bringing togheter groups working within different scientific communities (physics, structural engineering, and applied mathematics), focussing on a comprehensive and predicting modelling of fracture-related phenomena.
INDEX

SCALE EFFECTS

COMPLEXITY, SCALING, AND NON-LINEARITY IN THE THERMOMECHANICS OF ADVANCED MATERIALS

FROM MICRO - TO GLOBAL SCALE

PHYSICS AND SCALING IN FRACTURE

40-2) SCALE EFFECTS
 

 


CHUDNOVSKY, Alexander
University of Illinois at Chicago
Chicago, Illinois - USA

VERGHESE, Nikhil E.

Corporate R&D - MS&IR - Materials Research
Freeport, Texas - USA

Abstract
The effect of scale is of great importance in the evaluation of performance of any material. This is mainly so because all materials have morphologies and structural details that exist in different forms and sizes and at different length scales. Often times in nature, even though the material in a system based on its chemical constituents is similar, it is put together in a unique way at different length scales and provides a critical function in concert with the remaining structure to serve the overall purpose both effectively and efficiently.
The 2 sessions being put together each explore different definitions of scale. One focuses on the element of time which is an extremely crucial component of scale, namely "How long will something last under a specific set of conditions?" and "How can we reliably evaluate this experimentally using short-term experiments so that we have the ability to rapidly compare and select different materials?" . It therefore seeks to bring together people who have spent time on the topic of accelerated test protocol development and those who have developed philosophies to tackle the problem of predicting lifetime of a material or a system.
The other session investigates the element of size which is another element of scale. In doing so it focuses its attention on the topic of of damage and its development which is a precursor to final failure (therefore ties into the topic for session 1). This session will attempt to bring together people who have spent time understanding and defining damage and its development in specific scenarios and possibly over different length scales and those who have made attempts to prevent the progression of damage namely healing. This being a broad topic, the session will be open to discussions on damage in biological or natural as well as synthetic or man-made systems.

 

40-3) FROM MICRO - TO GLOBAL SCALE
 

 

BOTVINA, Ludmila R.
Institute of Metallurgy and Materials Science
Russian Academy of Sciences - Inst. of Metallurgy
Moscow - Russia

KORSUNSKY, Alexander M.

Department of Engineering Science
University of Oxford
United Kingdom

Abstract
Fundamental laws governing the evolution of fracture remain unchanged across various scale levels, from microscopic to global, i.e. associated with natural processes occurring in the earth crust. This conclusion follows from the analysis of extensive literature on the subject of fracture process zone kinetics, the main features of fracture surfaces, and crack size distribution curves.
These regularities also manifest themselves in changing physical characteristics: number of acoustic and seismic events, their magnitude distribution, parameters of propagation of ultrasound and seismic waves.
This multidisciplinary Mini-Symposium will allow to bring together researchers of various fields of science, including materials science, fracture mechanics, nondestructive testing, geophysics and seismology, and will make it possible to discuss common laws of mechanical and physical behavior of solids underlying the size effects and the self-similarity of the fracture process.

 



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