Books

1)  A. Mammino and F. Tonon, (1997); Opere strutturali per l'ingegneria Territoriale (Structural Works in Geotechnical Engineering Applications), Vol.1, Tome 2. Alinea Editrice, Firenze, XLVI + 1431 pages . Contents: Introduction; 1. Fundamentals of Fuzzy Set, Random Set and Evidence Theory; 2. Structural Optimization of Uncertain Structures; 3. Geology Applied to Tunneling; 4. Design Parameters for Tunnel Design; 5. Convergence-Confinement Method; 6. Tunnel Lining Optimization; 7. Structurally Controlled Stability of Tunnels; 8. Structural Analysis of Tunnel Linings. (In Italian).

2)  A. Mammino and F. Tonon, (1997); Opere strutturali per l'ingegneria Territoriale (Structural Works in Geotechnical Engineering Applications), Vol.1 , Tomo 3. Alinea Editrice, Firenze, XLVI + 1065 pages. Vol.1 , Tome 3. Contents: 9. Tunnels close to a Mountainside; 10. Cut and Cover Tunneling; 11. Concrete Diaphragm Walls; 12. Slope Stability; 13. Special Reinforced Concrete Structures for Hydraulic Networks Nodes; 14. Weirs. (In Italian).

 

Books review by Prof. Heinz Duddeck.

Book chapters

F. Tonon, A. Mammino, F. Pagliacci and P. Borghi, Final lining ahead of a tunnel face by means of the Pretunnel system: equipment, case histories, and design procedures. MIR 2000 – Mechanized Tunneling, 275-309 (G. Barla ed.). Patron, Bologna, 2000.

Papers

Refereed journals

1.       F. Tonon and A. Bernardini, A Random Set approach to the optimization of uncertain structures. Computers and Structures 68 (1998) 583-600.

2.       F. Tonon and A. Bernardini, Multiobjective optimization of uncertain structures through Fuzzy Set and Random Set theory. Computer-Aided Civil and Infrastructure Engineering 14 (1999), 119-140.

3.       a) F. Tonon, Generalization of Mauldon’s and Goodman’s vector analysis of keyblock rotations. ASCE Journal of Geotechnical and Geoenvironmental Engineering 124(10) (1998), 913-922.

b) F. Tonon, Closure on the discussion of the paper “Generalization of Mauldon’s and Goodman’s vector analysis of keyblock rotations”. ASCE Journal of Geotechnical and Geoenvironmental Engineering, 126(1) (2000), 99.

4.       F. Tonon, A. Bernardini and I. Elishakoff, Concept of Random Sets as applied to the design of structures and analysis of expert opinions for aircraft crash. Chaos, Solitons and Fractals 10 (1999), 1855-1868.

5.       F. Tonon, A. Bernardini and A. Mammino, Multiobjective optimization under uncertainty applied to tunnel lining design: a new approach through Fuzzy Set Theory. Gallerie e Grandi Opere Sotterranee, 56 (1999), 26-34.

6.       E. Pan and F. Tonon, Three-dimensional Green’s functions in anisotropic piezoelectric solids. Int. J. of Solids and Structures, 37 (2000), 943-958.

7.       A. Mammino, F. Tonon and F. Zen, Un metodo generale di verifica statica per torri campanarie snelle. Costruire in Laterizio 78 (2000), 62-69. (Title: A general method for the analysis of slender masonry bell towers).

8.       F. Tonon, E. Pan and B. Amadei, Green’s functions and BEM formulation in general anisotropic elastic solids. Computers & Structures, 79(5) (2001), 469-482.

9.       F. Tonon, A. Bernardini and A. Mammino, Determination of parameters range in Rock Engineering by means of Random Set Theory. Reliability Engineering & System Safety, 70(3) (2000), 241-261.

10.   F. Tonon, A. Bernardini and A. Mammino, Reliability analysis of rock mass response by means of Random Set Theory. Reliability Engineering & System Safety, 70(3) (2000), 263-282.

11.   F. Tonon, A. Bernardini and I. Elishakoff, Hybrid analysis of uncertainty: Probability, fuzziness and convexity. Chaos, Solitons and Fractals 12(8) (2001), 1403-1414.

12.   F. Tonon, B. Amadei and E. Pan, Bayesian estimation of boundary conditions with application to deep tunneling. Geotechnical and Geological Engineering 19 (2001), 43-67.

13.   F. Tonon, B. Amadei, E. Pan and D.M. Frangopol, Bayesian estimation of rock mass boundary conditions with applications to the AECL Underground Research Laboratory, Canada. Int. J. Rock Mech. Min. Sci. 38(7) (2001), 995-1027.

14.   F. Tonon and B. Amadei, Effect of elastic anisotropy on tunnel wall displacements behind a tunnel face. Rock Mechanics and Rock Engineering 35(3) (2002), 141-160.

15.   F. Tonon, A. Bernardini and A. Mammino, Multiobjective optimization under uncertainty in tunneling: application to the design of tunnel support/reinforcement with case histories. Tunnelling and Underground Space Technology 17(1) (2002), 33-54.

16.   A. Mammino, L. Tonon and F. Tonon, Risk analysis as a design tool in the fire-safety retrofit of two Italian tunnels. Transportation Research Record 1814 (2002), 93-102.

17.   F. Tonon, Using Random Set Theory to propagate epistemic uncertainty through a mechanical system. Reliability Engineering & System Safety 85 (2004), 169-181.

18.   A. Mammino and F. Tonon, Replacement of Pontesei Bridge, Italy. ASCE Journal of Bridge Engineering 9(5) (2004), 480-486.

19.   F. Tonon, On the use of Random Set Theory to bracket the results of Monte Carlo simulations. Reliable Computing, 10 (2004), 107-137.

20.   F. Tonon and B. Amadei, Stresses in anisotropic rock masses: an engineering perspective building on geological knowledge. Int. J. Rock Mech. Min. Sci. 40 (2003), 1099–1120.

21.   A. Bernardini and F. Tonon, Aggregation of Evidence from Random and Fuzzy Sets. ZAMM (Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik), 84 (2004), 700-709.

22.   F. Tonon and A. Mammino, Reliability-based design and construction issues for a micropile foundation in Costa Rica. ASCE Practice Periodical on Structural Design and Construction, 12(4) (2004), 227-236.

23.   F. Tonon, Does elastic anisotropy significantly affect tunnel plane strain behavior? Transportation Research Record, 1868, 157-168.

24.   F. Tonon, Explicit exact formulas for the 3-D tetrahedron inertia tensor in terms of its vertex coordinates. Journal of Mathematics and Statistics 1, (2004), 8-11.

25.   F. Tonon, A. Mammino, D. Vanni, P. G. Borghi and A. Bertero, Pretunnel technology: applications and design methods. Geotechnical and Geological Engineering, 23(5) 2005, 487 – 518. DOI: 10.1007/s10706-003-5397-9.

26.   F. Tonon and S. Chen, Inclusion properties for random relations under the hypotheses of stochastic independence and non-interactivity. Int. J. of General Systems 34(5) 2005, 615 - 624. DOI:  10.1080/03081070500094411.

27.   A. Mammino, F. Tonon and L. Tonon, Renovation of the 17th century Ponte Lungo Bridge in Chioggia, Italy, ASCE Journal of Bridge Engineering 11(1) 2006, 13-20. DOI: 10.1061/(ASCE)1084-0702(2006)11:1(13)

28.   F. Tonon. Interaction diagram and load effects for vertical pile groups with application to the AASHTO-LRFD. ASCE J. of Structural Engineering, 132, 2006, 460-470. DOI: 10.1061/(ASCE)0733-9445(2006)132:3(460)

29.   F. Tonon, H.-R. Bae,  R. V. Grandhi and C. Pettit, Using Random Set theory to calculate reliability bounds for a wing structure. Structure and Infrastructure Engineering, 2(3-4), 2006, 191-200. DOI: 10.1080/15732470600590689.

30.   F. Tonon, A search algorithm for calculating validated reliability bounds. Reliable Computing, 13(2), 2007, 195-209, 10.1007/s11155-006-9025-2.

31.   F. Tonon, and Chen, S. Closed-form and numerical solutions for the probability distribution function of fracture diameters. Int. J. of Rock Mech. and Mining Sci. 44 (3), 2007, 332-350. DOI: 10.1016/j.ijrmms.2006.07.013.

32.   F. Tonon, Analytical formulas for the geometric and inertia quantities of the largest removable blocks around tunnels. Int. J. for Numerical and Analytical Methods in Geomechanics 31(11), 2007, 1301-1327; DOI 10.1002/nag.593.

33.   F. Tonon, Analysis of single rock blocks for general failure modes under conservative and non conservative forces. Int. J. for Numerical and Analytical Methods in Geomechanics 31(14), 2007, 1567–1608; DOI: 10.1002/nag.608.

34.   F. Tonon, Some properties of a Random Set approximation to upper and lower distribution functions. Int. J. Approximate Reasoning 48, 2008, 174–184; DOI: 10.1016/j.ijar.2007.07.010.

35.   F. Tonon and P. Asadollahi, Validation of general single rock block stability analysis (BS3D) for wedge failure. Int. J. of Rock Mech. and Mining Sci. 45, 2008, 627–637. DOI: 10.1016/j.ijrmms.2007.08.014.

36.   T. Fetz and F. Tonon, Probability bounds for series systems with variables constrained by sets of probability measures. International Journal of Reliability and Safety 2(4), 2008, 309-339. DOI: 10.1504/IJRS.2008.022079.

37.   A. Bernardini and F. Tonon, Extreme probability distributions of random/fuzzy sets and p-boxes. International Journal of Reliability and Safety (Accepted for publication)

38.   A. Bobet, A. Fakhimi, S. Johnson, J. Labuz, J. Morris, F. Tonon, and M.R. Yeung, Numerical models in discontinuous media: recent advances in rock mechanics. ASCE Journal of Geotechnical and Geoenvironmental Engineering.  (Accepted for publication)

39.   Y. Wang and F. Tonon, Modeling triaxial test on intact rock using discrete element method with membrane boundary. ASCE's Journal of Engineering Mechanics. (Accepted for publication)

Refereed conference proceedings

1.       A. Bernardini and F. Tonon, A combined Fuzzy and Random Set approach to the multiobjective optimization of uncertain systems. Proc Seventh Specialty  ASCE Conf. on Advances in Probabilistic Mechanics and Structural Reliability, 7-9 August 1996 Worcester, Massachusetts, USA, 314-317. ASCE, New York, 1996. 

2.       F. Tonon, A. Mammino, A. Bernardini, A Random Set approach to the uncertainties in rock engineering and tunnel design. Proc. ISRM International Symposium on Prediction and Performance in Rock Mechanics and Rock Engineering EUROCK '96 (G. Barla, ed.), Torino, Italy, 2-5 September 1996, Vol.2, 861-868. Balkema, Rotterdam, 1996.   

3.       A. Mammino, Cadrobbi L., Valle C. and Tonon F. Stabilization of a huge rock block overhanging the inhabited area of Zambana Vecchia (Province of Trento, Italy). Proc. ISRM International Symposium on Prediction and Performance in Rock Mechanics and Rock Engineering EUROCK '96 (G. Barla, ed.), Torino, Italy, 2-5 September 1996, Vol.1, 589-596. Balkema, Rotterdam, 1996. 

4.       F. Tonon, A. Bernardini, How many different faces of uncertainty in Civil Engineering? Proc. Int. Computing Congress, (K.C.P. Wang, T. Adams, M.L. Maher, and A. Songer, eds.), 1998 ASCE Annual Convention, Boston, Massachusetts, October 18-21, 1998, 95-97. ASCE, Reston, VA, 1998.

5.       F. Tonon, A. Bernardini and I. Elishakoff, Hybrid analysis of uncertainty: Probability, fuzziness and convexity. Proc. ESREL'99 - The tenth European Conference on Safety and Reliability (G.I. Schueller and P. Kafka, eds.), Munich-Garching,Germany, 13-17 September 1999, Vol. 2, 1109-1115, Balkema, Rotterdam, 1999.

6.       A. Mammino and F. Tonon, Stabilization of Candide landslide. Proc. 37th U.S. Rock Mech. Symposium (B. Amadei, R.L. Kranz, G.A. Scott and P.H. Smeallie, eds.), Vail, Colorado, USA, 6-9 June 1999, Vol. 2, 1205-1212. Balkema, Rotterdam, 1999. 

7.       F. Tonon, B. Amadei and D.M. Frangopol, Estimation of boundary conditions with application to the URL – Canada. Proc. 3rd Int. Conf. Advances of Computer Methods in Geotechnical and Geoenvironmental Engineering. Moscow, Russia, February 1-4, 2000, 67-72. Balkema, Rotterdam.

8.       F. Tonon, B. Amadei and D.M. Frangopol, Far-field stress estimation in tunneling using a Bayesian approach. Proc. 8th ASCE Joint Specialty Conf. on Probabilistic Mechanics and Structural Reliability PMC00, University of Notre Dame, Notre Dame, Indiana, USA, July 24-26, paper 253. ASCE, Reston, VA, 2000.

9.       F. Tonon and B. Amadei, Detection of weak rock mass ahead of a tunnel - a numerical investigation. Proc. 4th North American Rock Mech. Symp. “Pacific Rocks: Rock Around the Rim”, University of Washington, Washington, USA, July 31 - August 3, 2000, 105-111. Balkema, Rotterdam.

10.   F. Tonon and B. Amadei, Estimating rock mass boundary conditions for the AECL’s Underground Research Laboratory, Canada. Proc. 38th U.S. Rock Mech. Symposium, Washington, DC, July 5-7, 2001. Balkema, Rotterdam.

11.   F. Tonon, A. Bernardini and A. Mammino, Hazard bounding in rock engineering and ground-structure interaction by means of Random Set Theory. Proc. ICOSSAR '01: 8th Int'l Conf. on Structural Safety and Reliability Newport Beach, California, USA, June 17 - 22, 2001.

12.   A. Mammino, L. Tonon and F. Tonon, Risk analysis as a design tool in the fire-safety retrofit of two Italian tunnels. Proc. 81st Transportation Research Board Meeting, Washington, DC, January 13-17, 2002. TRB, Washington, DC.

13.   A. Mammino and F. Tonon, Replacement of Pontesei bridge, Italy. Proc. First Int. Conf. On Bridge Maintenance, Safety and Management, IABMAS ’02, Barcelona, Spain, July 14-17, 2002, 191-192.

14.   F. Tonon, A. Mammino and A. Bernardini. Multiobjective Optimization under Uncertainty in the Design of Tunnel Support/Reinforcement. ModeFrontier Users Meeting 2002. October 2-4, 2002, Bergamo, Italy.

15.   A. Mammino and F. Tonon, Moving Padova railway underground. Proc. ACUUS 2002 - International Conference "Urban Underground Space: a Resource for Cities", November 14-16, 2002, Turin, Italy.

16.   A. Mammino, F. Tonon, E. Siviero, B. Brisegella, P. Faccio, T. Zordan, A new tunnel for the city of Mestre, Italy. Proc. ACUUS 2002 - International Conference "Urban Underground Space: a Resource for Cities, November 14-16, 2002, Turin, Italy.

17.   F. Tonon and A. Mammino, Reliability-based design of micropile foundations: a case history in Costa Rica. Soil and Rock America 2003 - 12th Panamerican Conference on Soil Mechanics and Geotechnical Engineering and 38th US Rock Mechanics Symposium, Cambridge, Massachusetts, June 22-25, 2003, 2833-2838. Presented in a plenary session.

18.   F. Tonon and B. Amadei, What boundary conditions should we apply? A Bayesian approach with application to the AECL Underground Research Laboratory. In Proc. 10th ISRM Congress on Rock Mechanics (M. Handley and D. Stacey, eds.), 8 - 12 September 2003, Gauteng, South Africa, 1241-1245. The South African Institute of Mining and Metallurgy, Johannesburg, South Africa. Presented in a plenary session.

19.   F. Tonon, Efficient calculation of CDF and reliability bounds. Proc. 9th ASCE Joint Specialty Conf. on Probabilistic Mechanics and Structural Reliability, PMC04 (Wojtkiewicz, S., Ghanem, R. and Red-Horse, J., eds.), Albuquerque, NM, July 26-28, 2004, Paper no. 07_104. ASCE, Reston, VA.

20.   F. Tonon and C. Pettit, Structural reliability application of correlation in random-set valued variables. Proc. 9th ASCE Joint Specialty Conf. on Probabilistic Mechanics and Structural Reliability, PMC04 (Wojtkiewicz, S., Ghanem, R. and Red-Horse, J., eds.), Albuquerque, NM, July 26-28, 2004, Paper no. 08_201. ASCE, Reston, VA.

21.   F. Tonon, H.-R. Bae,  R. V. Grandhi and C. Pettit, Using Random Set Theory to calculate reliability bounds in situations of little information: an application to a finite element intermediate complexity wing model. Proc. 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference and 6th AIAA Non-Deterministic Approaches Forum, Palm Springs, California, April 18-21, 2004. American Institute for Aeronautics and Astronautics.

22.   F. Tonon, Does elastic anisotropy significantly affect a tunnel’s plane strain behavior? Proc. 84th Transportation Research Board Meeting, Washington, DC, January 11-15, 2004. TRB, Washington, DC.

23.   F. Tonon, H.-R. Bae,  R. V. Grandhi and C. Pettit, Using Random Set Theory to calculate reliability bounds in situations of little information: an application to a finite element intermediate complexity wing model. Proc. 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference and 6th AIAA Non-Deterministic Approaches Forum, Palm Springs, California, April 18-21, 2004. American Institute for Aeronautics and Astronautics.

24.   F. Tonon, Efficient calculation of CDF and reliability bounds. Proc. 9th ASCE Joint Specialty Conf. on Probabilistic Mechanics and Structural Reliability, PMC04 (Wojtkiewicz, S., Ghanem, R. and Red-Horse, J., eds.), Albuquerque, NM, July 26-28, 2004, Paper no. 07_104. ASCE, Reston, VA.

25.   F. Tonon and C. Pettit, Structural reliability application of correlation in random-set valued variables. Proc. 9th ASCE Joint Specialty Conf. on Probabilistic Mechanics and Structural Reliability, PMC04 (Wojtkiewicz, S., Ghanem, R. and Red-Horse, J., eds.), Albuquerque, NM, July 26-28, 2004, Paper no. 08_201. ASCE, Reston, VA.

26.   F. Tonon and C. Pettit, Toward a definition and understanding of correlation for variables constrained by random relations. Proc. 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference and 7th AIAA Non-Deterministic Approaches Forum, Austin, TX, Apr 18 – 21, 2005.

27.   F. Tonon and S. Chen, Inclusion properties for random relations under the hypotheses of stochastic independence and non-interactivity. Proc. Third M.I.T. Conference on Computational Fluid and Solid Mechanics, Massachusetts Institute of Technology, (Cambridge, MA, USA), June 14-17, 2005.

28.   F. Tonon and C. Pettit, Toward a definition and understanding of correlation for variables constrained by random relations. Proc. ICOSSAR’05, Universita’ La Sapienza, (Rome, Italy), June 19-23, 2005.

29.   F. Tonon, Some open questions in reliability and risk analysis, Proc. 11th International Conference of IACMAG, the International Association of Computer Methods and Advances in Geomechanics, (Torino, Italy), June 19-24, 2005, Vol. 4, pp. 263-271. Invited issue lecture.

30.   F. Tonon and S. Chen, Closed-form and numerical solutions for the probability distribution of discontinuity diameters. Proc. Alaska Rocks - 40th U.S. Rock Mechanics Symposium (Anchorage, Alaska, USA), June 25-29, 2005, paper 05-832.

31.   F. Tonon, Using Extended Interval Algebra in Discrete Mechanics. NSF Workshop “Reliable Engineering Computing 2006: Modeling Errors and Uncertainty in Engineering Computations”, Rafi L. Muhanna and Robert L. Mullen eds., February 22-24, 2006, Georgia Institute of Technology, Savannah. http://www.gtsav.gatech.edu/workshop/rec06/index.html.

32.   F. Tonon, Determining fracture size probability distribution functions from trace length probability distribution functions. In Proc. 11th ISRM Congress on Rock Mechanics, 8 - 12 July 2007, Lisbon, Portugal.

33.   F. Tonon, Enlarging transportation tunnels while maintaining current traffic capacity during construction. In Proc. 11th ISRM Congress on Rock Mechanics – Special Session ISRM Commission on Maintenance and Repair of Underground Structures in Rock Masses, 8 - 12 July 2007, Lisbon, Portugal.

34.   F. Tonon and J.T. Kottenstette, Laser and photogrammetric methods for rock face characterization: a worksop. In Proc. of the workshop “Laser and photogrammetric methods for rock face characterization”, F. Tonon and J.T. Kottenstette eds., Golden, CO, June 17-18, 2006, 5-12; 2007 American Rock Mechanics Association (ARMA).

35.   F. Tonon and J.T. Kottenstette, Summary paper on the Morrison field exercise. In Proc. of the workshop “Laser and photogrammetric methods for rock face characterization”, F. Tonon and J.T. Kottenstette eds., Golden, CO, June 17-18, 2006, 77-96; 2007 American Rock Mechanics Association (ARMA).

36.   A. Bernardini and F. Tonon, Extreme probability distributions of random/fuzzy sets and p-boxes. NSF Workshop “Reliable Engineering Computing 2008: Imprecise Probability in Engineering Analysis and Design and its role in Reliable Engineering Computing”, Rafi L. Muhanna and Robert L. Mullen eds., February 20-22, 2008, Georgia Institute of Technology, Savannah. http://www.gtsav.gatech.edu/workshop/rec08/.

37.   Y. Wang and F. Tonon, A new membrane boundary for DEM modeling of triaxial tests on intact rock. In Proc. San Francisco Rocks – 42nd U.S. Rock Mechanics Symposium (San Francisco, CA, USA), June 29-July 2, 2008, paper 47.

38.    Y. Wang and F. Tonon, Validation of general single rock block stability analysis. In Proc. San Francisco Rocks – 42nd U.S. Rock Mechanics Symposium (San Francisco, CA, USA), June 29-July 2, 2008, paper 50.

Reports

1.       F. Tonon, A. Bernardini and A. Mammino, Handling Murphy’s and anti-Murphy’s laws in Rock Engineering through Random Set Theory: Part I parameters. Part II functions of parameters. Internal Report R.I. 01/97 – June 1997. Dipartimento di Costruzioni e Trasporti, University of Padova, Italy.

2.       B. Amadei and F. Tonon, In Situ stress measurements at Seminoe Dam. US Bureau of Reclamation Contract 1425-97-CA-81-20003. August 2000.