ACADEMIC YEAR 2008
The Krajcinovic Session
Applicants must apply at least one month before the beginning
of the course. Application forms can be sent by post or on-line
through our web site: http://www.cism.it. A letter of confirmation
will be sent to accepted participants.
Bažant
Bažant
Bažant
Bažant
June 27
Friday
ADMISSION AND ACCOMMODATION
The Deutsche Forschungsgemeinschaft offers scholarships to
German students (please contact Dr-Ing. Marcel Urban, DFG,
Kennedyallee 40, 53175 Bonn, Germany, tel. +49 (228) 885 2655,
e-mail: Marcel.Urban@dfg.de - web site: http://www.dfg.de).
Information about travel and accommodation are available at
http://www.cism.it/cism/travel-reach.htm, or can be mailed
upon request.
Centre International des Sciences Mécaniques
International Centre for Mechanical Sciences
van Mier
Vořechovský
Zapperi
Bouchaud
van Mier
Vořechovský
Zapperi
Bouchaud
Schulson
van Mier
Dyskin
Schulson
Schulson
van Mier
Dyskin
Schulson
Vořechovský
Dyskin
Bouchaud
Zapperi
Vořechovský
Dyskin
Bouchaud
Zapperi
Dyskin
Schulson
Zapperi
van Mier
Dyskin
Schulson
Zapperi
Registration
June 26
June 25
June 24
June 23
Thursday
Wednesday
Tuesday
Monday
A limited number of participants from universities and research
centres who are not supported by their own institutions can
be offered board and/or lodging in a reasonably priced hotel.
Requests should be sent to CISM Secretariat by April 23,
2008 together with the applicant’s curriculum and a letter of
recommendation by the head of the department or supervisor
confirming that the institute cannot provide funding. Preference
will be given to applicants from countries which sponsor
CISM.
FRACTURE, SCALING
AND SIZE EFFECT
Advanced School
coordinated by
Jan G.M. van Mier
ETH Zurich
Switzerland
17.15 - 18.00
16.30 - 17.15
15.15 - 16.00
14.30 - 15.15
11.45 - 12.30
11.00 - 11.45
9.45 - 10.30
9.00 - 9.45
For further information please contact:
TIME
TIME TABLE
The registration fee is 600,00 €.
CISM
Palazzo del Torso - Piazza Garibaldi 18
33100 Udine (Italy)
tel. +39 0432 248511 (6 lines)
fax +39 0432 248550
e-mail: cism@cism.it
http://www.cism.it
Udine, June 23 - 27, 2008
FRACTURE, SCALING AND SIZE EFFECT
Scaling of fracture strength,
fracture energy and toughness
is an important issue when it
comes to predicting the behaviour of large-scale structures
on the basis of laboratory scale
measurements. Historically the
work of Leonardo da Vinci and
Gallileo is well known, followed
by the statistical weakest link
theory derived by Weibull in 1939.
Weibull scaling is a statistical
approach assuming instantaneous failure when the weakest
link in a material structure fails.
In brittle heterogeneous materi-
als like cement, concrete and
rock, the first crack is generally
not catastrophic but the materials are to some extent capable
of arresting small microcracks.
In fibre composites, the ability to local crack arrest is used
to create extended hardening
behaviour. As soon as materials
become quasi-brittle or show
extended hardening behaviour,
scaling laws deviate from traditional Weibull scaling. Since the
1980's there has been a growing
interest in the field, cumulating now to new approaches for
INVITED LECTURERS
fracture scaling that go beyond
the field of traditional geomaterials (concrete, cement, rock,
ice, ceramics, etc.) but apply to
fracture processes at nano- and
micro-scale in hitherto presumed
homogenous materials like glass,
metal and others that show
inherent heterogeneity at very
small size-scales. Catastrophic
failure occurs after some stable
crack growth has taken place,
and the morphology and roughness of the fracture surfaces at
various stages of the fracture
process must be intimately
linked to global macroscopic
scaling parameters. The course
will address this interrelation
between nano- and microscopic
properties of fracture morphology
and global fracture parameters
like strength, fracture energy
and fracture toughness. Lecturers from various sub-fields of
geo-materials (concrete, rock
and ice), fracture mechanics,
and statistical physics will give
in-depth exposures of scaling
and size effects on fracture
properties.
Zdenĕk P. Bažant - Northwestern University, Evanston, IL, USA
4 lectures on: Size effect on structural strength, background of size effect; deterministic energetic theory of quasibrittle size effect; combined
statistical-energetic size effect on quasibrittle materials.
Elisabeth Bouchaud - CEA Saclay, France
4 lectures on: Stochastic modeling of brittle fracture of disordered
elastic solids; brief reminder of linear elastic fracture mechanics of
homogeneous solids; the main mechanisms of failure in real materials;
rough crack paths and fracture surfaces; weakly distorted crack fronts.
The limitations of stochastic models will be discussed extensively in
order to draw future directions of research in this area.
Arcady V. Dyskin - University of Western Australia, Perth, Australia
6 lectures on: Size and scale effects in rocks and rock masses; upscaling of rock properties; homogenisation; multiscale modelling; methods
of homogenisation (theory of effective characteristics; interaction of
defects and cracks – the self-consistent methods); effects of collective
behaviour; modelling of size effect (weakest link concept; effect of random stress fields; effect of stress gradient); Modelling of scale effect
(self-similarity and fractals; scaling; scaling in high order continua);
future directions.
Jan G.M. van Mier - ETH Zurich, Switzerland
5 lectures on: Experimental and numerical analysis of fracture
processes in quasi-brittle materials; experimental methods and error
sources; lattice models for simulating fracture of cement and concrete
at various scales; fundamentals of size effects in quasibrittle fracture;
environmental effects on fracture and size effects; future directions.
LECTURES
PRELIMINARY SUGGESTED READINGS
E. Bouchaud, 1997, Scaling Properties of Cracks, J. Phys. Condens
Matter, Vol. 9, pp. 4319-4344.
E.M. Schulson, 2001, Brittle Failure
of Ice, Eng. Fract. Mech., Vol. 68(1718), pp. 1839-1887.
Z.P. Bažant, 2002, Scaling of
Structural Strength, London: HermesPenton (Kogan Publishing).
A.V. Dyskin, 2002, Self-similar Crack
Patterns Induced by Spatial Stress
Fluctuations, Fatigue Fract Engng
Mater Struct, Vol. 25, pp. 187-200.
E.M. Schulson, 2004, Compressive
Shear Faults within Arctic Sea Ice:
Fracture on Scales Large and Small,
J. Geophys. Res., 109(C7), C07016,
23p.
Z.P. Bažant, M. Vořechovský, D.
Novák, 2007, Asymptotic Prediction
of Energetic Statistical Size Effect
from Deterministic Finite Element
Solutions, J. Eng. Mech. (ASCE), Vol.
133(2), pp. 153-162.
J.G.M. van Mier, 2007, Multi-scale Interaction Potentials (F-r) for Describing Fracture of Brittle Disordered
Materials like Cement and Concrete,
International Journal of Fracture, Vol.
143, pp. 41-78.
M.J. Alava, P. K.V. V. Nukala, S.
Zapperi, 2006, Statistical Models
of Fracture, Adv. Phys., Vol. 55, pp.
349-476.
M. Vořechovský, 2007, Interplay of
Size Effects in Concrete Specimens
under Tension studied via Computational Stochastic Fracture Mechanics, Int. J. Solids Struct., 44(9), pp.
2715-2731.
All lectures will be given in
English. Lecture notes can be
downloaded from CISM web
site, instructions will be sent to
accepted participants.
Erland M. Schulson - Dartmouth College, Hanover, NH, USA
6 lectures on: Fracture of ice; review the fundamental aspects of the
brittle failure of ice (fracture toughness, tensile failure, compressive
failure and ductile-to-brittle transition) and application of the fundamentals to the interaction between ice and engineered structures and
to the fracture of the ice cover on the Arctic Ocean. Scale effects will be
discussed within the context of the two applications.
Miroslav Vořechovský - Brno University of Technology, Czech Republic
4 lectures on: Stochastic fracture mechanics. Simulation techniques
for random variables and random fields; computational modeling of
damage at macro level; energetic-statistical size effect of concrete
and similar materials with focus on the probabilistic part; Weibull
integral; fiber bundle models; random strength of multifilament yarns
and cables.
Stefano Zapperi - Università di Roma "La Sapienza", Italy
6 lectures on: Statistical models for fracture and size effects; disorder
and scaling laws in fracture: size effects, crack surface roughness,
avalanches and acoustic emission; fiber bundle models with global and
local load transfer; lattice models (random fuse model, bond model,
beam models, simulation results for scaling and size effects); fracture
and phase transitions; size effect and scaling in plasticity.
FRACTURE, SCALING
AND SIZE EFFECT
Udine, June 23 - 27, 2008
Application Form
(Please print or type)
Surname _________________________________________
Name ___________________________________________
Affiliation ________________________________________
Address__________________________________________
________________________________________________
E-mail __________________________________________
Phone___________________Fax______________________
Method of payment upon receipt of confirmation (Please check the box)
The fee of Euro 600,00 includes IVA/VAT tax and excludes bank charges
❏ I shall send a check of Euro _______________________________________
❏ Payment will be made to CISM - Bank Account N° 094570210900,
VENETO BANCA - Udine (CAB 12300 - ABI 05418 - SWIFT AMBPIT2M - IBAN CODE IT83Z 05418 12300 09457 0210900).
Copy of the receipt should be sent to the secretariat
❏ I shall pay at the registration counter with check, cash or VISA Credit Card (Mastercard/Eurocard, Visa, CartaSì)
IMPORTANT: CISM is obliged to present an invoice for the above sum. Please
indicate to whom the invoice should be addressed.
Name ______________________________________________________________________________________________________
Address __________________________________________________________________________________________________
__________________________________________________________________________________________________________________
__________________________________________________________________________________________________________________
C.F.* ________________________________________________________________________________________________________
VAT/IVA* No.______________________________________________________________________________________________
(*) Only for EU residents or foreigners with a permanent business activity in Italy.
Only for Italian Public Companies
❏ I ask for IVA exemption (ex law n. 537/1993 - art. 14 comma 10).
Privacy policy: I understand that data received via this form will be used only to provide
information about CISM and its activities, within the limits set by the Italian legislative
decree no. 196/2003 and subsequent amendments.
Complete information on CISM’s privacy policy is available at www.cism.it.
I have read the "Admission and Accommodation" terms and conditions and agree.
Date _______________
Signature