Ειδικά Κεφάλαια Γεωμηχανικής (2012 χειμερινό εξάμηνο) Γιώργος Εξαδάκτυλος, Καθηγητής, Τμήμα Μηχανικών Ορυκτών Πόρων, Πολυτεχνείο Κρήτης http://minelab.mred.tuc.gr (ειδικότερα ςτο πεδίο «Courses» και ςτο υπο-πεδίο «Advanced Geomechanics II» 31 Οκτωβρίου 2012 Contents Σκοπόσ του Μακιματοσ... 2 Περιεχόμενα μακιματοσ... 2 1. Μθχανικι του Συνεχοφσ Μζςου... 2 1.1 Ειςαγωγικά... 2 Προαπαιτοφμενα:... 2... 2 1.2 Kινθματικι... 3... 3 1.3 Θεωρία Μιγμάτων και Θεωριματα διατιρθςθσ μάηασ, ορμισ & ςτροφορμισ κερμοδυναμικά αξιώματα... 3... 3 2. Eδαφομθχανικι (Soil Mechanics)... 3... 3 1
3. Βραχομθχανικι (Rock Mechanics)... 4... 4 4. Πορομθχανικι (Poromechanics)... 5... 5 5. Αςκιςεισ (1 θ ςειρά)... 5 Σκοπόσ του Μαθήματοσ Aνάλυςθ προβλθμάτων τθσ Γεωτεχνικισ Μθχανικισ από τθ ςκοπιά των Θεωριών του Συνεχοφσ Μζςου και του Αςυνεχοφσ Μζςου. «Τριβι» των μεταπτυχιακών φοιτθτών που παρακολουκοφν το μάκθμα πάνω ςτισ κεμελιώδεισ ζννοιεσ τθσ ςχετικισ Μακθματικισ Ανάλυςθσ, ςτθ διατφπωςθ ςφνκετων προβλθμάτων τθσ εφαρμοςμζνθσ Γεωτεχνικισ Μθχανικισ (Geotechnical Engineering), Βραχομθχανικισ, Τεχνικισ Γεωλογίασ, Τεκτονικισ, Υδρογεωλογίασ κ.λπ. κακώσ και ςτθν εξοικείωςθ των ςτθν ανεφρεςθ βιβλιογραφίασ και ςτθν ζρευνα. Περιεχόμενα μαθήματοσ 1. Μηχανική του Συνεχούσ Μέςου 1.1 Ειςαγωγικά Προαπαιτούμενα: Στοιχεία από Γραμμική Αλγεβρα, Aλγεβρα Πινάκων, Διανυςματική Ανάλυςη και Αλγεβρα Διανυςμάτων, Τανυςτέσ,.Θα γίνουν και επεξηγήςεισ ςτο μάθημα. Αkivis M.A. & Goldberg V.V. (1977). An Introduction to Linear Algebra and Tensors, Dover Publications, Inc., New York. (Γραμμικι Αλγεβρα) Pettofrezzo, A.J. (1978). Matrices and Tranformations. Dover Publications, Inc., New York (Aλγεβρα Πινάκων) Coffin J.G. (1938). Vector Analysis An Introduction to Vector Methods and their various Applications to Physics and Mathematics, 2 nd Edition, John Wiley & Sons, Inc., London, Chapman and Hall Ltd (Διανυςματικι Ανάλυςθ) Weatherburn C.E. (1947). Advanced Vector Analysis (with applications to Mathematical Physics), G. Bell & Sons, Ltd., London (Διανυςματικι Ανάλυςθ, και εφαρμογζσ ςτθ Γεωμετρία και ςτθ Μθχανικι). 2
Brand L. (1947). Vector and Tensor Analysis. John Wiley & Sons, Inc., New York (Διανυςματικι Ανάλυςθ, Tανυςτικι Ανάλυςθ με εφαρμογζσ ςτθν Υδροδυναμικι κ.λπ.) Levi-Civita T. (1977). The Absolute Differential Calculus. Dover Publications, Inc., New York (Tανυςτικι Ανάλυςθ) Fung Y.C. (1969). A First Course In Continuum Mechanics, Prentice Hall, Inc., Englewood Cliffs, N.J. (Διανφςματα, Τανυςτζσ, Μθχανικι, ) Frederick D. and Chang T.S. (1972). Continuum Mechanics. Scientific Publishers, Inc., Cambridge (Mθχανικι του Συνεχοφσ, Κινθματικι, Τανυςτζσ κλπ) Μalvern L.E. (1969). An Introduction to the Mechanics of Continuous Media. Prentice Hall, Englewood Cliffs. (Mθχανικι του Συνεχοφσ, Κινθματικι, Τανυςτζσ κλπ) Fluegge W. (1972). Tensor Analysis and Continuum Mechanics. Springer Verlag, New York.. 1.2 Kινηματική Vardoulakis, I. and Sulem, J. (1995). Bifurcation Analysis in Geomechanics. Blackie Academic and Professional. 1.3 Θεωρία Μιγμάτων και Θεωρήματα διατήρηςησ μάζασ, ορμήσ & ςτροφορμήσ θερμοδυναμικά αξιώματα Vardoulakis, I. and Sulem, J. (1995). Bifurcation Analysis in Geomechanics. Blackie Academic and Professional. Bear J. and Bachmat Y. (1990). Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer Academic Publishers, Dordrecht-Boston-London. Truesdell C. (1969). Rational Thermodynamics. McGraw-Hill Book Company, New York. Εringen C.A. (1976). Continuum Physics, Vol. III-Mixtures and EM Field Theories. Academic Press, New York. Stability_ch2 vers1.0.pdf (in pdf format lying in my website). 2. Eδαφομηχανική (Soil Mechanics) Arnold Verruijt SOIL MECHANICS Delft University of Technology, 2001, 2006 (in pdf format lying in my website). 3
Skempton, A.W. (1961). Effective stress in soils, concrete and rocks. Conf. on Pore Pressure and Suction in Soils, London: Butterworths, 4-16. Skempton, A.W. (1961). Effective stress in soils, concrete and rocks. Conf. on Pore Pressure and Suction in Soils, London: Butterworths, 4-16. Taylor, D.W. Foundamentals of Soil Mechanics, Wiley, 1948. Terzaghi, K.v. (1936). The shearing resistance of saturated soils, Proc. 1st ICSMFE, Cambridge, Vol. 1, 54-56. Stability_ch1 vers1.0.pdf (in pdf format lying in my website).. 3. Βραχομηχανική (Rock Mechanics) Jaeger J., Cook N. G., Zimmerman R. (2007). Fundamentals of Rock Mechanics. 4 th Edition, John Wiley & Sons. http://books.google.gr/books/about/fundamentals_of_rock_mechanics.html?id=fqaddkunvnac&r edir_esc=y Widely regarded as the most authoritative and comprehensive book in its field, the fourth edition of Fundamentals of Rock Mechanics includes new and substantially updated chapters to this highly praised text. Extensively updated throughout, this new edition contains substantially expanded chapters on poroelasticity, wave propogation, and subsurface stresses Features entirely new chapters on rock fractures and micromechanical models of rock behaviour Discusses fundamental concepts such as stress and strain Offers a thorough introduction to the subject before expertly delving into a fundamental, self-contained discussion of specific topics Unavailable for many years, now back by popular demand. An Instructor manual CD-ROM for this title is available. Please contact our Higher Education team at HigherEducation@wiley.com for more information. Reviews: With this attention to detail, and rigorous adherence to clarity and exactness in description, this edition will consolidate the standing achieved by the earlier editions as a most authoritative and comprehensive book in its field. It will continue to serve as a leading reference work for geoscientists interested in structural geology, tectonics and petrophysics as well as for civil, mining and petroleum engineers. (Petroleum Geoscience) "...I consider this book to be an invaluable reference for studying and understanding the fundamental science at the base of rock mechanics. I believe this to be a must-have textbook and I strongly recommend it to anyone, student or professional, interested in the subject." (Rock Mechanics and Rock Engineering) 4
"An excellent book, very well presented, and is a must for the shelves of serious engineers and scientists active or interested in the fields of rock mechanics and rock engineering... Highly recommended." (South African Geographical Journal, 2008) 4. Πορομηχανική (Poromechanics) Coussy, O., 2004, Poromechanics, John Wiley & Sons. Biot, M.A., 1941. General theory of three dimensional consolidation, Journal of Applied Physics, 12, 155-164. Biot, M.A., 1956a. Theory of propagation of elastic waves in a fluid saturated porous solid. I Low frequency range, The Journal of the Acoustical Society of America, 28, 168-178. Biot, M.A., 1956b. Theory of propagation of elastic waves in a fluid saturated porous solid. II Higher frequency range, The Journal of the Acoustical Society of America, 28, 179-191. Biot, M.A., 1957. The elastic coefficients of the theory of consolidation, Journal of Applied Mechanics, Trans. ASME, 24, 594-601. Biot, M.A., 1962. Mechanics of deformation and acoustic propagation in porous media, Journal of Applied Physics, 33, 1482-1498. Bourbie, T., Coussy, O., Zinszner, B., 1987, Acoustics of Porous Media, Gulf Pub. Co.; Editions Technip. 5. Αςκήςεισ (1 η ςειρά) Δίδονται προσ επίλυςθ τζςςερεισ αςκιςεισ ςτο αρχείο «notes on granular materials with 4 exercisesge.pdf» 5