• Articoli su rivista internazionale:

1. A. Carpinteri, G. Ferro, S. Invernizzi, “The nominal tensile strength of disordered materials: a statistical fracture mechanics approach”, Engineering Fracture Mechanics, 58, N. 5/6, pp. 421-435, 1997.

2. A. Carpinteri, B. Chiaia, S. Invernizzi, “Three-dimensional fractal analysis of concrete fracture at the meso-level”, Theoretical and Applied Fracture Mechanics, 31, pp. 163-172, 1999.

3. A. Carpinteri, B. Chiaia, S. Invernizzi, “Comments on “Direct fractal measurement of fracture surface” by H. Xie and J. Wang [36 (1999) 3073-3084]”, International Journal of Solids and Structures, 37, pp. 4623-4625, 2000.

4. A. Carpinteri, S. Invernizzi, “Influence of damage on the fractal properties of concrete subjected to pure tension”, Materials and Structures, 34, pp. 605-611, 2001.

5. A. Carpinteri, B. Chiaia, S. Invernizzi, “Applications of Fractal Geometry and Renormalization Group to the Italian seismic activity”, Chaos, solitons and fractals, 14, pp. 917-928, 2002.

6. M. Borri-Brunetto, A. Carpinteri, S. Invernizzi, “Characterization and mechanical modeling of the abrasion properties of sintered tools with embedded hard particles”, Wear, 254, pp. 635–644, 2003.

7. A. Carpinteri, B. Chiaia, S. Invernizzi, “Numerical Analysis of indentation fracture in quasi-brittle materials”, Engineering Fracture Mechanics, 71, (4-6), pp. 567–577, 2004.

8. J.G. Rots, S. Invernizzi, “Regularized sequentially linear saw-tooth softening model”, International Journal for Numerical and Analytical Methods in Geomechanics incorporating Mechanics of Cohesive-frictional Materials, 28, pp.821-856 , 2004.

9. M. Borri Brunetto, B. Chiaia, S. Invernizzi, “Lacunarity of contact domains and multifractaity of pressures in rough rock interfaces”, Arabian Journal for Science and Engineering, 29(2C), pp.135-146, 2004.

10. A. Carpinteri, S. Invernizzi, “Numerical analysis of the cutting interaction between indenters acting on disordered materials”, International Journal of Fracture, 131, pp.143-154, 2005.

11. A. Carpinteri, S. Invernizzi, G. Lacidogna, “In situ damage assessment and nonlinear modelling of an historical masonry tower”, Engineering Structures, 27(3), pp.387-395, 2005.

12. J.G. Rots, S. Invernizzi, “Saw-tooth softening/stiffening – A stable computational procedure for RC structures”, in pubblicazione su Computers and Structures, 2006.

13. M. Borri-Brunetto, A. Carpinteri, S. Invernizzi, M. Paggi, “Generalized Mindlin-Deresiewicz approach for cyclic micro-slip of rough interfaces”, inviato a ASME Journal of Applied Mechanics, 2006.

• Papers on peer-reviewed proceedings of international conferences:

1. A. Carpinteri, G. Ferro, S. Invernizzi, “A truncated statistical model for analyzing the size- effect on tensile strength of concrete structures”, Fracture Mechanics of Concrete Structures (ed. F.H. Wittmann), Aedification Publishers, Freiburg, pp. 557-570, 1995.

2. M. Borri Brunetto, B. Chiaia, S. Invernizzi, “Lacunar Fractality of the contact domain in a closed rock fracture”, Damage and Fracture Mechanics: Computer Aided Assessment and Control, (eds. A. Carpinteri & C.A. Brebbia), Computational Mechanics Pubblications, Southampton, pp. 545-554, 1998.

3. A. Carpinteri, B. Chiaia, S. Invernizzi, “Fracture behaviour of a solid with random porosity: experimental analysis and size effect”, in Proceedings of the Twelfth European Conference on Fracture ECF 12 - Fracture from Defects, (eds. M.W. Brown, E.R. de los Rios and K.J. Miller), Emas Publishing, London, III, pp. 1557-1562, 1998.

4. A. Carpinteri, B. Chiaia, S. Invernizzi, “Three-dimensional fractal analysis of microstructural morphologies in concrete”, in Proceedings of the Third International Conference on Fracture Mechanics of Concrete Structures - FRAMCOS-3, (eds. H. Mihashi & K. Rokugo), Gifu, I, pp. 281-292, 1998.

5. A. Carpinteri, S. Invernizzi, “Fractal characterisation of concrete damage during the strain-softening regime”, in Proceedings of ECF 13 - Fracture Mechanics: Applications and Challanges, San Sebastiàn, Spain, September 6-9, 2000, summary p. 238, paper ref. 062C1.PDF CDROM.

6. A. Carpinteri, S. Invernizzi, “Uniaxial tensile test and fractal evaluation of softening damage in concrete”, Fracture Mechanics of Concrete Structures, (eds. R. de Borst, J. Mazars, G. Pijaudier-Cabot, J.G.M. van Mier), A.A. Balkema, Lisse, I, pp. 19-25, 2001.

7. A. Carpinteri, B. Chiaia, S. Invernizzi, “Applications of fractal geometry to earthquake engineering”, Proceedings of the International Conference of the European Safety and Reliability Association - Italian Chapter - ESREL 2001, Torino, Italy, September 16-20, III, pp. 1867-1874, 2001.

8. A. Carpinteri, B. Chiaia, S. Invernizzi, “Influence of material microstructure on the fracture induced by a hard cutting indenter”, Proceedings of the International Conference on Fracture and Damage Mechanics, Milano, Italy, September 18-20 , pp. 193-198, 2001.

9. A. Carpinteri, B. Chiaia, S. Invernizzi, “Interaction of two hard indenters in the cutting process of quasi-brittle materials”, Proceedings of the 14th European Conference on Fracture ECF 14 - Fracture Mechanics Beyond 2000, 2, pp. 401-408, Cracow, Poland, September 8-13, 2002.

10. J.G. Rots, S. Invernizzi, “Sequentially Linear Saw-Tooth Softening Model”, Proceedings of COMPLAS 2003, VII International Conference on Computational Plasticity, D.R.J. Owen, E. Oñate and B. Suárez (Eds.), CDROM 287.pdf, summary p. 125, Barcellona 7-10 April 2003.

11. J.G. Rots, S. Invernizzi, “Keynote paper: Regularized saw-tooth softening”, Computational Modelling of Concrete Structures: Proceedings of the Euro-C Conference 2003, N. Bicanic, R. de Borst, H. Mang, G. Meschke (Eds.), pp. 599-617, St. Johann Im Pongau, Austria, 17-20 March 2003.

12. A. Carpinteri, S. Invernizzi, G. Lacidogna, “Nonlinear simulation and damage assessment of an historical masonry tower”, Fracture Mechanics of Concrete Structures, (eds. V.C. Li, C.K.Y. Leung, K.J. William, S.L. Billington), USA, Vol. 2, pp. 709-716, 2004.

13. J.G. Rots, S. Invernizzi, “Saw-tooth softening/stiffening model”, Fracture Mechanics of Concrete Structures, (eds. V.C. Li, C.K.Y. Leung, K.J. William, S.L. Billington), USA, Vol. 1, pp.375-382, 2004.

14. B. Chiaia, S. Invernizzi, “Integrity and safety of corporate property: complex interactions between actions, design errors and ageing”, ERES 2004: 11° European Real Estate Society Conference, Milan, Italy, June 2-5, 2004.

15. J.G. Rots, S. Invernizzi, “A Saw-Tooth Model for the Structural Analysis of Real-Scale Masonry Structures”, 13th International Brick/Block Masonry Conference, (eds. D. Martens & A. Vermeltfoort), Amsterdam, The Netherlands, Vol. 4, pp.1309-1318, 2004.

16. J.G. Rots, S. Invernizzi, “Prevision of settlement-induced cracking in historical building masonry façade”, IV International Seminar on Structural Analysis of Historical Constructions SAHC, (eds. C. Modena, P.B. Loureço & P. Roca), Padova, Italy, Vol. 1, pp.687-694, 2004.

17. A. Carpinteri, S. Invernizzi, G. Lacidogna, “Numerical evaluation of cracking and crushing in ancient masonry towers”, 11th International Conference on Fracture ICF11, Torino, March 20-25, p.639, 2005.

18. J.G. Rots, S. Invernizzi, “Sequentially linear saw-tooth modeling of reinforced structures”, 11th International Conference on Fracture ICF11, Torino, March 20-25, p.1106, 2005.

19. M. Borri-Brunetto, A. Carpinteri, S. Invernizzi, M. Paggi: "Micro-slip of rough surfaces under cyclic tangential loading", 4th Contact Mechanics International Symposium (CMIS), Hannover, Germany, 2005.

20. J.G. Rots and S. Invernizzi, “Saw-tooth softening/stiffening – A stable computational procedure for RC Structures”, EUROMECH Colloquium 460, Numerical Modelling of Concrete Cracking, Innsbruck, Austria, 2005.

21. J.G. Rots and S. Invernizzi, “Damage assessment in historical buildings during underground tunneling”, ICF11 post-Conference Symposium on Damage and Repair of Historical and Monumental Buildings (Eds. A. Barbieri & A. Di Tommaso), pp.21-26, Venice, 29 March, 2005.

22. J.G. Rots and S. Invernizzi, “Repeated linear analyses as an alternative to nonlinear analysis”, International DIANA User Meeting, Nijmegen, The Netherlands, 14-15 April 2005.

23. J.G. Rots, B. Belletti, S. Invernizzi, “Saw-tooth softening models for concrete plates and shells”, 5^th International Conference on Computation of Shell & Spatial Structures IASSIACM2005, 1-4 June 2005, Salzburg, Austria, paper ref. ea_287.pdf CDROM.

24. J.G. Rots, S. Invernizzi,B. Belletti “Saw-tooth softening model for concrete structures”, proceedings of the ACI Workshop on Finite Element Analysis of RC Structures, 2-4 November 2003, Maui, Hawaii.

25. A. Carpinteri, S. Invernizzi, G. Lacidogna, “Cracking simulation in three medieval masonry towers subjected to different loading conditions”, EURO-C 2006 Computational modeling of concrete structures, 27^th - 30^th March 2006, Mayrhofen, Tyrol, Austria, pp.699-708.

26. J.G. Rots, S. Invernizzi, B. Belletti, “Event-by-event strategies for modelling concrete structures”, EURO-C 2006 Computational modeling of concrete structures, 27^th - 30^th March 2006, Mayrhofen, Austria, pp.667-678.

27. J.G. Rots, S. Invernizzi, B. Belletti, “A sequentially linear saw-tooth model for interface elements”, EURO-C 2006 Computational modeling of concrete structures, 27^th - 30^th March 2006, Mayrhofen, Austria, pp.203-212

28. J.G. Rots, B. Belletti, S. Invernizzi, “On the shape of saw-tooth softening curves for sequentially linear analysis”, EURO-C 2006 Computational modeling of concrete structures, 27^th - 30^th March 2006, Mayrhofen, Austria, pp.431-442.

29. J.G. Rots, B. Belletti, S. Invernizzi, “Simplified saw-tooth softening model for reinforced concrete structures”, 2^nd International FIB Congress, June 5-8, 2006.

• Papers on peer-reviewed proceedings of national conferences:

1. A. Carpinteri, G. Ferro, S. Invernizzi, “Un modello statistico multiparametrico per lo studio degli effetti di scala sulla resistenza”, Atti XII Congresso Nazionale AIMETA, Napoli, October 3-6, 1995, V, pp. 275-280.

2. A. Carpinteri, G. Ferro, S. Invernizzi, “Un approccio statistico per la verifica della legge di scala multifrattale sulla resistenza dei materiali disordinati”, Atti IGF11, XI Convegno Nazionale del Gruppo Italiano di Frattura, Brescia 4-6 July, 1995, pp. 331-334.

3. A. Carpinteri, B. Chiaia, S. Invernizzi, “Analisi tridimensionale delle superfici frattali generate nel processo di rottura del calcestruzzo”, Atti IGF13, XIII Convegno Nazionale del Gruppo Italiano di Frattura, Cassino, May 27-28,1997, pp. 175-184.

4. A. Carpinteri, B. Chiaia, S. Invernizzi, “Aspetti frattali e correlativi delle superfici generate nelle rotture fragili”, Atti XIII Congresso Nazionale AIMETA, Siena, September 29 - October 3, 1997, III, pp. 43-48.

5. A. Carpinteri, B. Chiaia, S. Invernizzi, “Rilievo ed analisi frattale della distribuzione dei difetti nel calcestruzzo”, Atti del XIV Convegno Nazionale del Gruppo Italiano Frattura, IGF14, Trento, May 27-28, 1998, pp. 275-282.

6. A. Carpinteri, B. Chiaia, S. Invernizzi, “Possibili Applicazioni della Geometria Frattale in Ingegneria Sismica”, Atti del IX Convegno dell'Associazione Nazionale Italiana di Ingegneria Sismica, Torino, September 20-23, 1999, summary p. 3, paper ref. CARPIN~1.INV/ ARTICOLO.PDF CDROM.

7. A. Carpinteri, S. Invernizzi, “Caratterizzazione Multiscala dei Materiali Porosi e Disordinati”, Atti XIV Congresso Nazionale AIMETA, Como, October 6-9, 1999, summary p. 90, paper ref. 213.PDF CDROM.

8. A. Carpinteri, S. Invernizzi, “Fractal characterisation of concrete damage during the strain- softening regime”, Atti del XV Convegno Nazionale del Gruppo Italiano Frattura, IGF2000, Bari, May 3-5, 2000, pp. 407-414, paper ref. SES6A_~3.PDF CDROM.

9. A. Carpinteri, S. Invernizzi, “Simulazione numerica della frattura fragile nei fenomeni di contatto”, Atti XV Congresso Nazionale AIMETA, Taormina, September 26-29, 2001, summary SS_MFR_08, paper ref. SS_MFR8.PDF CDROM.

10. A. Carpinteri, B. Chiaia, S. Invernizzi, “Influence of material microstructure on the fracture induced by a hard cutting indenter”, Atti XVI Convegno Nazionale del Gruppo Italiano Frattura, IGF2002, Catania, June 20-22, 2002, pp. 412-418.

11. S. Invernizzi, J.G. Rots, “Sequentially linear modeling of strain softening materials”, Atti XVI Congresso Nazionale AIMETA, CDROM 103_INVERNIZZI.PDF, sommario p. 333, Ferrara 9-12 September 2003.

12. M. Borri-Brunetto, S. Invernizzi, M. Paggi, A. Carpinteri, “Cyclic micro-slip and energy dissipation on elastic rough interfaces”, Atti XVII Congresso Nazionale AIMETA, Firenze 11-15 September 2005.

• Altre pubblicazioni:

1. S. Invernizzi, Aspetti statistici e frattali nella micromeccanica del danneggiamento, Tesi di Dottorato, Politecnico di Torino, 1998.

• Capitoli in Libri o Manuali:

1. B. Chiaia & S. Invernizzi, “Ageing of the support”. Chapter 6 in Tunnel maintainance: catalogue of behavioural laws and numerical modelling (G. Barla, Coordinator), pp. 94-160, International Union of Railways (UIC), Paris, France, 2004.