rizzifoto2.jpgPUBLICATIONS (2009)

Egidio RIZZI

 

 

Professor of
Mechanics of Materials and Structures
("Scienza delle Costruzioni")
 
 
 

PUBLISHED INTERNATIONAL JOURNAL PAPERS

  1. Carol, I., Rizzi, E., and Willam, K. (1994), "A unified theory of elastic degradation and damage based on a loading surface", International Journal of Solids and Structures, 31(20), 2835-2865.

  2. Guzina, B.B., Rizzi, E., Willam, K. and Pak R.Y.S. (1995), "Failure prediction of smeared crack formulations", Journal of Engineering Mechanics, ASCE, 121(1), 150-161.

  3. Rizzi, E., Carol, I. and Willam, K. (1995), "Localization analysis of elastic degradation with application to scalar damage", Journal of Engineering Mechanics, ASCE, 121(4), 541-554.

  4. Rizzi, E., Maier, G. and Willam, K. (1996), "On failure indicators in multi-dissipative materials", International Journal of Solids and Structures, 33(20-22), 3187-3214.

  5. Loret, B. and Rizzi, E. (1997), "Anisotropic stiffness degradation triggers onset of strain localization", International Journal of Plasticity, 13(5), 447-459.

  6. Rizzi, E. and Loret, B. (1997), "Qualitative analysis of strain localization. Part I: Transversely isotropic elasticity and isotropic plasticity", International Journal of Plasticity, 13(5), 461-499.

  7. Loret, B. and Rizzi, E. (1997), "Qualitative analysis of strain localization. Part II: Transversely isotropic elasticity and plasticity", International Journal of Plasticity, 13(5), 501-519.

  8. Rizzi, E. and Loret, B. (1999), "Strain localization in fluid-saturated anisotropic elastic-plastic porous media", International Journal of Engineering Science, 37(2), 235-251.

  9. Loret, B. and Rizzi, E. (1999), "Strain localization in fluid-saturated anisotropic elastic-plastic porous media with double porosity", Journal of the Mechanics and Physics of Solids, 47(3), 503-530.

  10. Rizzi, E., Papa, E. and Corigliano, A. (2000), "Mechanical behavior of a syntactic foam: experiments and modeling", International Journal of Solids and Structures, 37(40), 5773-5794.

  11. Corigliano, A., Rizzi, E. and Papa, E. (2000), "Experimental characterization and numerical simulations of a syntactic foam/glass fibre composite sandwich", Composites Science and Technology, 60(11), 2169-2180.

  12. Carol, I., Rizzi, E. and Willam, K. (2001), "On the formulation of anisotropic elastic degradation. Part I: Theory based on a pseudo-logarithmic damage tensor rate", International Journal of Solids and Structures, 38(4), 491-518.

  13. Carol, I., Rizzi, E. and Willam, K. (2001), "On the formulation of anisotropic elastic degradation. Part II: Generalized pseudo-Rankine model for tensile damage", International Journal of Solids and Structures, 38(4), 519-546.

  14. Loret, B., Rizzi, E. and Zerfa, Z. (2001), "Relations between drained and undrained moduli in anisotropic elastic fluid-saturated porous media", Journal of the Mechanics and Physics of Solids, 49(11), 2593-2619.

  15. Papa, E., Corigliano, A. and Rizzi, E. (2001), "Mechanical behavior of a syntactic foam/glass fibre composite sandwich: experimental results", Structural Engineering and Mechanics, 12(2), 169-188.

  16. Rizzi, E. and Carol, I. (2001), "A formulation of anisotropic elastic damage using compact tensor formalism", Journal of Elasticity, 64(2-3), 85-109.

  17. Hähner, P., Ziegenbein, A., Rizzi, E. and Neuhäuser, H. (2002), "Spatio-temporal analysis of Portevin-Le Chatelier deformation bands: theory, simulation and experiment", Physical Review B, 65(13), Art. nr. 134109, 20 pages.

  18. Carol, I., Rizzi, E. and Willam, K. (2002), "An 'extended' volumetric/deviatoric formulation of anisotropic damage based on a pseudo-log rate", European Journal of Mechanics - A/Solids, 21(5), 747-772.

  19. Rizzi, E. and Carol, I. (2003), "Dual orthotropic damage-effect tensors with complementary structures", International Journal of Engineering Science, 41(13-14), 1445-1495.

  20. Hähner, P. and Rizzi, E. (2003), "On the kinematics of Portevin-Le Chatelier bands: theoretical and numerical modelling", Acta Materialia, 51(12), 3385-3397.

  21. Rizzi, E. and Hähner, P. (2004), "On the Portevin-Le Chatelier effect: theoretical modeling and numerical results", International Journal of Plasticity, 20(1), 121-165.

  22. Rizzi, E. and Carol, I. (2007), "Secant stress/strain relations of orthotropic elastic damage with dual properties", Archives of Mechanics, 59(2), 133-171.

DISCUSSION

  1. Carol, I., Rizzi, E. and Willam, K. (2008), "Discussion on the paper: Application of some anisotropic damage model to the prediction of failure of some complex industrial concrete structure [Pierre Badel, Vincent Godard, Jean-Baptiste Leblond, Int. J. Solids Struct. 44 (2007), 5848-5874]", Int. J. of Solids and Structures, 45(16), 4600-4602.

PREPRINTS

  1. Carol, I., Lorefice, R., and Rizzi, E. (2007), "A reappraisal of localization analysis of isotropic damage/plasticity models based on a single quadratic loading surface".

  2. Planas-Vilanova, F., Barja, M.A., Carol, I. and Rizzi, E. (2008), "On the set of similarity classes of pairs of 3x3 real symmetric matrices".

  3. Cocchetti, G., Colasante, G. and Rizzi, E. (2009), "On the analysis of minimum thickness in circular masonry arches".

  4. Cocchetti, G. and Rizzi, E. (2009), "An iterative algorithm for the solution of linear systems in structural and inverse analyses".

 

INTERNATIONAL BOOK PAPER

  1. Loret, B. and Rizzi, E. (1998), "On the effects of inertial coupling on the wave-speeds of elastic-plastic fluid-saturated porous media", Material Instabilities in Solids, Eds R. de Borst and E. van der Giessen, John Wiley & Sons Ltd., Chichester, UK, Chapter 4, 41-53.

 

INTERNATIONAL PROCEEDINGS PAPERS

  1. Carol, I., Rizzi, E. and Willam, K. (1994), "Towards a general formulation of elastic degradation and damage based on a loading surface", Computational Modelling of Concrete Structures, Proc. of EURO-C 1994, March 22-25, 1994, Innsbruck, Austria, Eds H. Mang, N. Bicanic and R. de Borst, Pineridge Press, Swansea, U.K., 1994, 199-208.

  2. Rizzi, E., Carol, I. and Willam, K. (1994), "Localization analysis of constitutive models for elastic degradation", Computational Modelling of Concrete Structures, Proc. of EURO-C 1994, March 22-25, 1994, Innsbruck, Austria, Eds H. Mang, N. Bicanic and R. de Borst, Pineridge Press, Swansea, U.K., 1994, 425-434.

  3. Rizzi, E. and Willam, K. (1994), "Spatial discretization of strain localization", Computer Aided Assessment and Control, Proc. of LOCALIZED DAMAGE 94, Udine, Italy, June 21-23, 1994, Eds M.H. Aliabadi, A. Carpinteri, S. Kaliszky and D.J. Cartwright, Computational  Mechanics Publications, Southampton, U.K., 1994, 553-560.

  4. Rizzi, E., Willam, K. and Carol, I. (1995), "Strain localization for constitutive models combining plasticity with elastic degradation", Computational Plasticity: Fundamentals and Applications, Proc. of Complas IV, Barcelona, Spain, April 3-6, 1995, Eds D.R.J. Owen and E. Oñate, Pineridge Press, Swansea, U.K., 1995, 623-634.

  5. Carol, I., Rizzi, E. and Willam, K. (1995), "Current issues in elastic degradation and damage", Engineering Mechanics, Proc. of 10th ASCE Engineering Mechanics Specialty Conference, University of Colorado at Boulder, Boulder, CO, USA, May 21-24, 1995, Ed. S. Sture, ASCE, New York, U.S.A., 1995, 521-524.

  6. Rizzi, E. and Willam, K. (1995), "Constitutive singularities  of combined elastic degradation and plasticity", Engineering Mechanics, Proc. of 10th ASCE Engineering Mechanics Specialty Conference, University of Colorado at Boulder, Boulder, CO, USA, May 21-24, 1995, Ed. S. Sture, ASCE, New York, U.S.A., 1995, 529-532.

  7. Rizzi, E. and Loret, B. (1997), "Strain localization in transversely isotropic elastic-plastic solids", Computational Plasticity: Fundamentals and Applications, Proc. of Complas V, Barcelona, Spain, March 17-20, 1997, Eds D.R.J. Owen, E. Oñate and E. Hinton, Pineridge Press, Swansea, U.K., 1997, 647-654.

  8. Rizzi, E. and Loret, B. (1997), "Elastic-plastic models for fluid-saturated porous media and inception of strain localisation", Multiple scale analyses and coupled physical systems, Proc. of Saint-Venant Symposium, Paris, France, August 28-29, 1997, Presses des Ponts et Chaussées, 1997, 569-576.

  9. Carol, I., Rizzi, E. and Willam, K. (1998), "On the formulation of isotropic and anisotropic damage", Computational Modelling of Concrete Structures, Proc. of EURO-C 1998, March 31-April 3, 1998, Badgastein, Austria, Eds R. de Borst, N. Bicanic, H. Mang, G. Meschke, Balkema, Rotterdam, Netherlands, 1998, 183-192.

  10. Rizzi, E., and Loret, B. (1998), "Constitutive modeling of fluid-saturated porous media with degrading elastic properties", Poromechanics, Proc. of Biot Conference on Poromechanics, September 14-16, 1998, Louvain-la-Neuve, Belgium, Eds J.-F. Thimus at al., Balkema, Rotterdam, Netherlands, 1998, 141-146.

  11. Carol, I., Rizzi, E. and Willam, K. (2000), "A formulation of isotropic and anisotropic damage with evolution laws in pseudo-log space", European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000, CD-ROM Proc., 19 pages.

  12. Corigliano, A., Papa, R. and Rizzi, E. (2000), "On the use of a syntactic foam as core for sandwich panels and as external coating for pressurised pipelines", European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000, CD-ROM Proc., 12 pages.

  13. Comi, C. and Rizzi, E. (2000), "On bifurcation in local and nonlocal materials with tension and compression damage", European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, September 11-14, 2000, CD-ROM Proc., 20 pages.

  14. Carol, I. and Rizzi, E. (2002), "Some problems of tensor calculus in the context of solid mechanics", GEMT BCN 2002, Grups d'Estudi de Matemàtica i Tecnologia, Barcelona, July 2002, Eds. Enric Fossas i Joan Solà-Morales, Facultat de Matemàtiques i Estadística, UPC, Barcelona, Spain, December 2002, ISBN: 84-688-1493-8, p. 17-23.

  15. Rizzi, E. and Carol, I. (2002), "Constitutive relations of orthotropic elastic damage with dual properties", International Symposium Anisotropic Behaviour of Damaged Materials, ABDM 2002, Krakow-Przegorzaly, Poland, September 9-11, 2002, CD-ROM Proc., 28 pages.

  16. Hähner, P., Grützun, V., Rizzi, E.. (2004), "Theoretical and numerical modeling of strain-rate softening instabilities: on the velocity selection of propagating Portevin--Le Chatelier deformation bands", Proc. of 2nd International Conference on Multiscale Materials Modeling (MMM-II), University of California at Los Angeles, USA, October 11-15, 2004, Ed. Nasr M. Ghoniem, Printed by Mechanical and Aerospace Engineering Department, UCLA, 205-208.

  17. Carol, I., Rizzi, E. and Willam, K. (2005), "An 'extended' anisotropic damage model based on Young/Poisson decomposition", International Conference on Fracture (ICF11), Torino, Italy, March 20-25, 2005, CD-ROM Proc., 6 pages.

  18. Rizzi, E. and Sangalli, S. (2007), "Biomechanical Simulations of Corneal Refractive Surgery", Modelling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering (MHM 2007), ECCOMAS Thematic Conference, Prague, Czech Republic, June 25-27, 2007, Eds. M. Jirásek, Z. Bittnar and H. Mang, Book+CD-ROM Proc., ISBN: 978-80-01-03762-1, p. 326-327.

  19. Ferrari, R. and Rizzi, E. (2008), "On the theory of the ellipse of elasticity as a natural discretisation method in the design of Paderno d'Adda Bridge (Italy)", VI International Conference on Structural Analysis of Historic Construction (SAHC08), D'Ayala and Fodde (Eds.), Bath, UK, July 2-4 2008, Taylor & Francis Group, London, ISBN 978-0-415-46872-5, p. 583-591.

  20. Rizzi, E., Brescianini, D. and Scotti, M. (2009), "On the optimal tuning of tuned mass dampers in structural systems", ECCOMAS Thematic Conference - 2nd Int. Conf. on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2009), M. Papadrakakis, N.D. Lagaros, M. Fragiadakis (Eds.), Rhodes, Greece, 22-24 June 2009, Book of Abstracts ISBN:978-960-254-682-6, p. 254; CD-ROM Proceedings, CD532, 24 pages.

 

NATIONAL PROCEEDINGS PAPERS

  1. Rizzi, E. (1993), "Determinazione analitica e numerica di direzioni di localizzazione in modelli a danneggiamento scalare'' ("Analytical and numerical evaluation of localization directions for scalar damage models", in Italian), Proc. of Settimo Convegno Italiano di Meccanica Computazionale AIMETA, June 1-3, 1993, Trieste, Italy, Università degli Studi di Trieste, Dipartimento di Ingegneria Civile, 309-314.

  2. Rizzi, E. (1994), "Fracture-energy-based regularization of a scalar damage model", Proc. of Ottavo Convegno Italiano di Meccanica Computazionale AIMETA, June 15-17, 1994, Torino, Italy, Politecnico di Torino, Dipartimento di Ingegneria Strutturale, 107-112.

  3. Rizzi, E. and Loret, B. (1997), "On the inception of strain localization in anisotropic solids and fluid-saturated porous media", Proc. of XIII Congresso Nazionale AIMETA, Siena, Italy, September 29-October 3, 1997, Edizioni ETS, Pisa, 1997, Vol. III - Meccanica dei Solidi, 161-166.

  4. Maier, G., Corigliano, A., Papa, E. and Rizzi, E. (1999), "Mechanical behavior of a syntactic foam/glass fibre composite sandwich: experimental results and numerical simulations", XIV Congresso Nazionale AIMETA, Como, Italy, October 6-9, 1999, CD-ROM Proc., 10 pages.

  5. Rizzi, E. and Hähner (2001), "Theoretical analysis and numerical modelling of Portevin-Le Chatelier deformation bands", XV AIMETA Congress of Theoretical and Applied Mechanics, Taormina, Italy, September 26-29, 2001, CD-ROM Proc., 10 pages.

 

THESES

  1. Rizzi, E. (1990), "Simulazione del comportamento viscoplastico di acciai ad alte temperature sotto carichi ciclici: modelli costitutivi e calcolo per elementi finiti" ("Simulation of viscoplastic behaviour of steel components at high temperature under cyclic load: constitutive models and finite element computations", in Italian), Laurea Thesis, Politecnico di Milano, Milano, Italy.

  2. Rizzi, E. (1993), "Localization analysis of damaged materials", Master Thesis, Technical Report CU/SR-93/5, CEAE Department, University of Colorado at Boulder, U.S.A., February 1993.

  3. Rizzi, E. (1995), "Sulla localizzazione delle deformazioni in materiali e strutture" ("On strain localization in materials and structures", in Italian), Doctoral Thesis, Dipartimento di Ingegneria Strutturale, Politecnico di Milano, Milano, Italy.

 

TECHNICAL REPORTS

  1. Carol, I., Rizzi, E. and Willam, K. (1993), "A unified theory of elastic degradation and damage based on a loading surface'', Technical Report CU/SR-93/2, CEAE Dept., University of Colorado, Boulder CO 80309-0428, U.S.A., February 1993.

  2. Rizzi, E., Carol, I. and Willam, K. (1993), "Localization analysis of elastic degradation with application to scalar damage", Technical Report CU/SR-93/11, CEAE Dept., University of Colorado, Boulder CO 80309-0428, U.S.A., December 1993.

  3. Guzina, B., Rizzi, E., Willam, K. and Pak, R.Y.S. (1994), "Failure detection of smeared crack formulations'', Technical Report CU/SR-94/1, CEAE Dept., University of Colorado, Boulder CO 80309-0428, U.S.A., January 1994.

  4. Rizzi, E. and Willam, K. (1995), "Rank-one updates and failure indicators in multi-dissipative materials'', Technical Report CU/SR-95/1, CEAE Dept., University of Colorado, Boulder CO 80309-0428, U.S.A., January 1995.

  5. Carol, I., Rizzi, E. and Willam, K. (1998), "On the formulation of anisotropic degradation using a pseudo-logarithmic damage tensor", Technical Report CU/SR-98/1, CEAE Dept., University of Colorado, Boulder CO 80309-0428, U.S.A., January 1998.

  6. Carol, I., Rizzi, E. and Willam, K. (1999), "An 'extended' formulation of isotropic and anisotropic damage with evolution laws in pseudo-log space", Technical Report CU/SR-99/1, CEAE Dept., University of Colorado, Boulder CO 80309-0428, U.S.A., January 1999.

  7. Rizzi, E. and Carol, I. (2001), "Tensor formalism in the formulation of elastic degradation and damage", Technical Report GT-022, ETSECCPB-UPC, Technical University of Catalunya, E-08034 Barcelona, Spain, December 2001.

  8. Carol, I., Rizzi, E. and Willam, K. (2002), "An 'extended' volumetric/deviatoric formulation of anisotropic damage based on a pseudo-log rate", Technical Report GT-023, ETSECCPB-UPC, Technical University of Catalunya, E-08034 Barcelona, Spain, January 2002.

  9. Rizzi, E. and Carol, I. (2002), "Dual orthotropic damage-effect tensors with complementary structures", Technical Report GT-024, ETSECCPB-UPC, Technical University of Catalunya, E-08034 Barcelona, Spain, February 2002.

  10. Hähner, P. and Rizzi, E. (2002), "On the kinematics of Portevin-Le Chatelier deformation bands: theoretical modeling and numerical results", Technical Report 06/2002, Department of Engineering, University of Bergamo, I-24044 Dalmine (BG), Italy, December 2002.

  11. Barja, M.A., Carol, I., Planas-Vilanova, F. and Rizzi, E. (2003), "The representation problem of pairs of symmetric second-order tensors in the context of Solid Mechanics", Mathematics Preprint Series 343/2003, IMUB, Institut de Matemàtica, Universitat de Barcelona, E-08007 Barcelona, Spain, December 2003.

 

TEACHING TEXTS

  1. Rizzi, E. (2003), "Alcune nozioni fondamentali sul metodo degli elementi finiti in meccanica dei solidi", Note per il Corso di Aggiornamento "Dal disegno alla modellazione agli elementi finiti di componenti strutturali", Università di Bergamo, Facoltà di Ingegneria (Dalmine), 18 pagine.

  2. Rizzi, E. (2005), "Statica di Aste Autoportanti", Università di Bergamo, Facoltà di Ingegneria (Dalmine), 21 pagine manoscritte.

  3. Rizzi, E. (2006), "Tracce delle Lezioni di Scienza delle Costruzioni", Università di Bergamo, Facoltà di Ingegneria (Dalmine), 142 pagine manoscritte.

  4. Rizzi, E. and Ghilardi, F.M. (2009), "Complementi di Scienza delle Costruzioni - Raccolta di Esercizi", Università di Bergamo, Facoltà di Ingegneria (Dalmine), in completion.

 

SUPERVISED THESES

Co-Advisor, Facoltà di Ingegneria, Politecnico di Milano:

  1. LARIA Mariacristina, "Sulla localizzazione in compressione uniassiale del calcestruzzo", Laurea in Ingegneria Civile, Relatore M. di Prisco, Correlatori P.G. Gambarova, E. Rizzi, Politecnico di Milano, a.a. 1996/1997.

  2. BARONCIONI Ivan, "Comportamento meccanico di un materiale composito con matrice epossidica e microsfere di vetro: modelli costitutivi, loro calibrazione su basi sperimentali e simulazioni per elementi finiti", Laurea in Ingegneria Civile, Relatori G. Maier, E. Rizzi, Politecnico di Milano, a.a. 1997/1998, 21 Dicembre 1998,100/100 e Lode.

  3. FERRARI Paolo, "Simulazioni del comportamento anelastico quasi-fragile di un materiale composito a matrice polimerica: studio critico comparativo", Laurea in Ingegneria Civile, Relatori G. Maier, E. Rizzi, Politecnico di Milano, a.a. 1998/1999, 7 Giugno 1999, 95/100.

 

 Advisor, Facoltà di Ingegneria (Dalmine), Università di Bergamo:

  1. SANGALLI Stefania, "Modellazione della biomeccanica corneale in chirurgia refrattiva", Laurea (Triennale) in Ingegneria Meccanica, Relatore E. Rizzi, a.a. 2004/2005, 03 Ottobre 2005, 110/110 e Lode.

  2. FERRARI Rosalba, "Sulla concezione strutturale ottocentesca del ponte in ferro di Paderno d'Adda secondo la teoria dell'ellisse d'elasticità", Laurea (Triennale) in Ingegneria Edile, Relatore E. Rizzi, a.a. 2005/2006, 21 Dicembre 2006, 110/110 e Lode. Premio di Laurea dell'Associazione "Carlo Maddalena", Milano, quale miglior tesi di laurea in ingegneria, bando per sei borse di studio per giovani laureati per le Facoltà di Architettura ed Ingegneria, 2007.

  3. COLASANTE Giada, "Sui meccanismi di collasso degli archi in muratura secondo l'analisi limite", Laurea (Triennale) in Ingegneria Edile, Relatore E. Rizzi, Correlatore G. Cocchetti, a.a. 2006/2007, 21 Dicembre 2007, 110/110 e Lode. Premio di Laurea dell'Associazione "Carlo Maddalena", Milano, quale miglior tesi di laurea in ingegneria, bando per cinque borse di studio per giovani laureati per le Facoltà di Architettura ed Ingegneria, 2008.

  4. RUSCONI Fabio, "Analisi numerica per elementi discreti dei meccanismi di collasso degli archi in muratura", Laurea (Triennale) in Ingegneria Edile, Relatore E. Rizzi, a.a. 2006/2007, 27 Febbraio 2008, 102/110.

  5. BRESCIANINI Daniele, SCOTTI Matteo, "Analisi della risposta dinamica di sistemi strutturali con assorbitori a massa accordata", Laurea Specialistica in Ingegneria Edile, Relatore E. Rizzi, a.a. 2006/2007, 27 Febbraio 2008, entrambi 110/110 e Lode.

  6. FERRARI Rosalba, "Analisi strutturale degli elementi portanti del ponte di Paderno d'Adda", Laurea Specialistica in Ingegneria Edile, Relatore E. Rizzi, a.a. 2008/2009, 24 Settembre 2009, 110/110 e Lode.

  7. FACHERIS Giovanni Mattia, "Analisi morfologica e modellazione per elementi finiti della pila sull'arco del ponte di Paderno d'Adda", Laurea (Triennale) in Ingegneria Edile, Relatore E. Rizzi, Correlatore R. Ferrari, a.a. 2008/2009, 24 Settembre 2009, 102/110.

  8. CHIODI Paolo, GAMBIRASIO Luca, "Simulazione numerica in deformazioni finite di provini metallici soggetti a torsione", Laurea Specialistica in Ingegneria Meccanica, Relatore E. Rizzi, a.a. 2008/2009  24 Settembre 2009, rispettivamente 106/110 e 110/110 e Lode.

 

Last update September 2009.