Hello everybody,
Please recommand me bibliography or the links on the WEB concerning the applications of different maths in the study of fractured surfaces. Thank you very much. In my country, Romania this domain is not know very well. Best regards from Romania!
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Math is just a tool. I
Math is just a tool. I don't think you can find a specific 'math' related to fracture. For example you use a lot of partial deferentiation in working with variables in fracture parameters. Depends on the application, the mathematics you would use defers. I learned some of these 'math' by just studying related topics in fracture mechanics.
Mastery on others is Force
Mastery on self is Strength
thank you very much
Dear Sir,
Thank you very much for your message. Please recommand me some bibliography or the links on the web, if it's possible. Thank you very much.
Best regards from Romania!
In reply to thank you very much by mageru
Re: applications of maths in the study of fractured surfaces
From your initial question, it was unclear what you were interested in. If you are interested in fracture mechanics, there are a number of lecture notes on fracture mechanics. If you are interested in some other aspects of fracture, please explain.
In reply to Re: applications of maths in the study of fractured surfaces by Zhigang Suo
Fuzzy math or Fractal Analysis
When I refer at the applications of maths in the fractured surfaces I thought at the Fractal Analysis or the Fuzziy sets.Thank you very much>
In reply to Fuzzy math or Fractal Analysis by mageru
A starting point
From ISI Web of Knowledge:
1. MANDELBROT BB, PASSOJA DE, PAULLAY AJ
FRACTAL CHARACTER OF FRACTURE SURFACES OF METALS
NATURE 308 (5961): 721-722 1984
Times Cited: 728
2. MECHOLSKY JJ, PASSOJA DE, FEINBERGRINGEL KS
QUANTITATIVE-ANALYSIS OF BRITTLE-FRACTURE SURFACES USING FRACTAL GEOMETRY
JOURNAL OF THE AMERICAN CERAMIC SOCIETY 72 (1): 60-65 JAN 1989
Times Cited: 136
3. DAUSKARDT RH, HAUBENSAK F, RITCHIE RO
ON THE INTERPRETATION OF THE FRACTAL CHARACTER OF FRACTURE SURFACES
ACTA METALLURGICA ET MATERIALIA 38 (2): 143-159 FEB 1990
Times Cited: 125
4. HIRATA T
FRACTAL DIMENSION OF FAULT SYSTEMS IN JAPAN - FRACTAL STRUCTURE IN ROCK FRACTURE GEOMETRY AT VARIOUS SCALES
PURE AND APPLIED GEOPHYSICS 131 (1-2): 157-170 1989
Times Cited: 122
5. LOUIS E, GUINEA F
THE FRACTAL NATURE OF FRACTURE
EUROPHYSICS LETTERS 3 (8): 871-877 APR 15 1987
Times Cited: 102
In reply to A starting point by Dan Cojocaru
Thank you very much for the bibliography
Dear Sir,
Thank you very much for the articles you had recommanded me.
Best wishes from Romania!
Re:applications of maths in the study of fractured surfaces
I do not agree. I got my MS from University 'Politehnica' of Bucharest, Romania and I took a two semester course on Fracture Mechanics. The course covered both theoretical and computational aspects of linear elastic and elasto-plastic Fracture Mechanics. I consider that course was as advanced and consistent as similar courses from US universities and the knowledge I got at that time served me really well during the Ph.D. program in US. I think the textbook we used was called "Integrity of metallic structures" (in Romanian) by T.Pana and S.D. Pastrama. As Dr. Suo mentioned, you can find on iMechanica notes on Fracture Mechanics by famous scientists, who made important contributions to this field.