Giuseppe Saccomandi

Research and Teaching Positions

• 2001–Present: Full Professor of Mathematical Physics, Engineering Science School, Università degli Studi Lecce.
• 1996–Present: Adjunct Professor of Rational Mechanics, Engineering Science School, Università degli Studi di Perugia.
• 1999–2001: Associate Professor of Mathematical Physics, Engineering Science School, Università degli Studi Lecce.
• 1997–1999: Tenured Researcher of Mathematical Physics, Engineering Science School, Università degli Studi di Perugia.
• 1992–1997: Tenured Researcher of Mathematical Physics, Engineering Science School, Università degli Studi di Roma LA SAPIENZA.
• 1990–1992: Computer Engineer, Engineering Science School, Università degli Studi di Perugia.

Professional Organizations

• 1988–Present Gruppo Nazionale di Fisica Matematica of Istituto Nazionale di Alta Matematica.
• 1999–Present International Society for the interaction between Mathematics and Mechanics (ISIMM).

Miscellaneous Professional Activities

• February 2005 Co-organizer mini-workshop Mathematical Methods and Models of Continuum Biomechanics, at the Mathematisches Forschunginstitut Oberwolfach.
• June 2003 Organizer of the meeting Mathematical Problems in Elastodynamics and Related Continuum Theories, Istituto Nazionale di Alta Matematica at the Palazzone of Cortona (Italy).
• Nov. 2002 Co-organizer mini-workshop Mathematical problems in the nonlinear elastodynamics of rubber-like materials at the Mathematisches Forschunginstitut Oberwolfach.
• October 2002 Co-organizer of the Advanced School THERMOMECHANICS OF RUBBER-LIKE MATERIALS hosted by CISM in Udine.
• June 2002 Scientific committee of the 2nd Canadian Conference on Nonlinear Solid Mechanics, Vancouver.
• June 2000 Co-organizer of the Advanced school TOPICS IN FINITE ELASTICITY hosted by CISM in Udine.
• 1993-1996 Secretary of the scientific journal Rendiconti di Matematica e delle sue Applicazioni.
•  2004 Reviewer INTAS (International association for the promotion of cooperation with scientists from the new independent states of the former Soviet Union).
  

Editorial Activity

• Editorial Board  Differential Equations and Nonlinear Mechanics .
  
• Guest Editor special issue of International Journal of Nonlinear Mechanics for the Millard Beatty Anniversary (vol. 36, n.3, 2001).
• Book Editor (with M.Hayes): CISM Lectures notes 424 TOPICS IN FINITE ELASTICITY, Springer-Wien-New York (2001).
• Book Editor (with R.Ogden): CISM Lectures notes 452 THERMOMECHANICS AND MECHANICS OF RUBBER-LIKE MATERIALS, Springer-Wien-New York (2004).
• Guest Editor special issue of International Journal of Nonlinear Mechanics for the Cornelius Horgan Anniversary (vol. 40, n.2-3, 2005).
  
• Reviewer for the Zentralblatt Math (until 2004) and MathSci.

Main Funded Research Project

• 1996-1999 Progetto di ricerca C.N.R. Processi fluidodinamici con interazioni dissipative a livello molecolare  (contracts 96.03861.CT01, 98.01016.CT01, 99.01706.CT01).
• 2000 CNR-Agenzia 2000 (CNRC00A3F1 002) Progetto EMODINAMICA coordinator Alfio Quarteroni.
• 2000-2001 PRIN MURST: Problemi Matematici Non Lineari di Propagazione e Stabilità nei modelli del Continuo, coordinator Tommaso Ruggeri.
• 2001 Elastomeri nematici (GNFM, INDAM) University of Lecce-Politecnico di Milano.
  
• 2003 INDAM Progetto Intergruppo Fisica-Matematica e Calcolo Scientifico coordinatore nazionale Alfio Quarteroni.
• 2003-2004 PRIN MIUR: Problemi Matematici Non Lineari di Propagazione e Stabilità nei modelli del Continuo, coordinator Tommaso Ruggeri.
• 2004 Problemi fisico-matematici della termomeccanica dei materiali elastomerici (GNFM, INDAM). University of Lecce-Politecnico di Milano-Politecnico di Bari.
  
• 2004-2005 PRIN MIUR: Modelli Matematici per la Dinamica del DNA coordinator Giuseppe Saccomandi
  

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1. G. Saccomandi: Simmetrie dell’equazione uxt = F(ux; ut), Rendiconti di Matematica Serie VII-8, 467-479 (1988).
2. E. Pucci, G. Saccomandi: Symmetries and conservation laws in micropolar elasticity, Int. J. Engng. Sci. 28, 557-562 (1990).
3. G. Saccomandi, M.C. Salvatori: Conservation laws for the von Karman equations of a thin plate, Rendiconti di Matematica Serie VII-11, 283-294 (1991).
4. G. Saccomandi: Group properties and invariant solutions of plane micropolar flows, Int. J. Eng. Sci. 29, 645-648 (1991).
5. E. Pucci, G. Saccomandi: On the weak symmetry groups of partial differential equations, J. of Math. Analysis and Appl. 163, 588-598 (1992).
6. E. Pucci, G. Saccomandi: Conservation laws in the elastic theory of materials with voids, Bolletino U.M.I. (7) 6-B, 425-450 (1992).
7. *E. Pucci, G. Saccomandi: Potential symmetries of Fokker Plank equations, in Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, N.H. Ibragiminov et al. (eds) Kluwer Academic Publishers, Dordrecht, The Netherlands (1993).
8. E. Pucci, G. Saccomandi: Potential symmetries and solutions by reduction of partial differential equations, J. of Phys. A: Math Gen. 26, 681-690 (1993).
9. E. Pucci, G. Saccomandi: Contact transformation and solution by reduction of partial differential equations, J. of Phys. A: Math Gen. 27, 177-184 (1994).
10. E. Pucci, G. Saccomandi: Quasisolutions as group-invariant solutions for partial differential equations, Studies in Applied Mathematics, 94, 211-223 (1995).
11. G. Saccomandi: Potential symmetries and reduction methods of order two, J. of Phys. A: Math. Gen. 30, 221-227 (1997).
12. E. Pucci, G. Saccomandi: Evolution equations, Invariant surface conditions and functional separation of variables, Physica D139, 28-47 (2000).
13. E. Pucci, G. Saccomandi: On the reduction methods for ordinary differential equations, J. of Phys. A: Math. Gen. 35, 6145-6155 (2002).
14. G. Saccomandi: A remarkable class of non classical symmetries of the  boundary layers equations, J. of Phys. A: Math. Gen. 37, 7005-7017 (2004). 
15. *G. Saccomandi: A personal overview of the weak symmetry idea in the framework of the theory of partial differential equations, Note di Matematica, 23, 217-248 (2004-2005).  

Nonlinear Elasticity and General Continuum Mechanics

1. E. Pucci, G. Saccomandi: On the controllable states of elastic dielectrics and magnetoelastic solids, Int. J. of Engng. Sci. 31, 251-256 (1993).
2. E. Pucci, G. Saccomandi: Some universal solutions for totally inexstensible isotropic elastic materials, Quart. J. of Mech. and Appl. Math. 49, 147-162 (1996).
3. E. Pucci, G. Saccomandi: Universal relations in constrained elasticity, Mathematics and Mechanics of Solids 1, 207-217 (1996).
4. G. Saccomandi: A note on inhomogeneous deformations of nonlinear elastic layers, IMA J. of Applied Mathematics 57, 311-394 (1996).
5. *E. Pucci, G. Saccomandi: Universal Relations in Finite Elasticity, in Contemporary research in the mechanics and mathematics of materials, 176-184, R.C. Batra and M.F. Beatty eds. , CIMNE, Barcelona (1996).
6. E. Pucci, G. Saccomandi: Universal relations in continuum mechanics, Cont. Mech. and Thermodynamics 9, 61-72 (1997).
7. G. Saccomandi, M. Vianello: On Universal relations for hemitropic elastic materials, Mathematics and Mechanics of Solids 2, 181-187 (1997).
8. E. Pucci, G. Saccomandi: Universal solutions for constrained simple materials, Int. J. of Nonlinear Mech. 34, 469-484 (1999).
9. G. Saccomandi: On inhomogeneous deformations in finite thermoelasticity, IMA J. of Applied Mathematics 63, 131-148 (1999).
10. E. Pucci, G. Saccomandi: Plane universal solutions for constrained materials, Mathematics and Mechanics of Solids 3, 201-216 (1998).
11. M. Hayes, G. Saccomandi: The Cauchy stress tensor for a material subject to an isotropic internal constraint, J. of Eng. Math. 37, 85-92 (2000).
12. #G. Saccomandi: Universal Results in Finite Elasticity, chapter 3 of Nonlinear Elasticity: Theory and Applications. Eds. Y. B. Fu & R. W. Ogden. Cambridge: Cambridge University Press Lecture Notes in Mathematics 283 (2001).
13. #G. Saccomandi: Universal Solutions and Relations in Finite Elasticity chapter of Topics in Finite Elasticity: CISM Lectures Notes 424 Eds. M. A. Hayes & G. Saccomandi, Springer Wien-NewYork, 95-130 (2001).
14. M. F. Beatty, G. Saccomandi: Universal relations for fiber reinforced materials, Mathematics and Mechanics of Solids 7, 95-110 (2002).
15. C. O. Horgan, G. Saccomandi: Helical shear for hardening generalized neo-Hookean elastic Materials, Mathematics and Mechanics of Solids 8, 539-559 (2003).
16. C. O. Horgan, G. Saccomandi: Coupling of anti-plane shear deformations with plane deformations in generalized neo-Hookean isotropic, incompressible, hyperelastic materials, J. of Elasticity, 73, 221-235 (2003).
17. G. Saccomandi, R. C. Batra: Additional universal relations for transversely isotropic materials, Mathematics and Mechanics of Solids 9, 167-174 (2004).
18. A. Dorfmann, R. W. Ogden, G. Saccomandi: Universal relations for nonlinear magneto-elastic solids, Int. J. of Nonlin. Mech. 39, 1699-1708 (2004).
19. A. Dorfmann, R. W. Ogden, G. Saccomandi: The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube to appear International Journal of Solids and Structures (2005).
20. G. Saccomandi: Some generalized pseudo-plane deformations for the neo-Hookean material to appear IMA J. of Applied Mathematics (2005).
21. K. R. Rajagopal, G. Saccomandi: On internal constraints in continuum mechanics, submitted.

Rubber-like materials and Soft Tissues

1. C. O. Horgan, G. Saccomandi: Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility, J. of Elasticity 56, 159-170 (1999).
2. C. O. Horgan, G. Saccomandi: Pure axial shear of isotropic, hyperelastic, incompressible nonlinear elastic materials with limiting chain extensibility, J. of Elasticity 57, 307-319 (1999).
3. *E. Pucci, G. Saccomandi: Some remarks on the Gent model of rubber elasticity, Proceedings 1st Canadia Conference on Nonlinear Solid Mechanics, Ed. E.M. Croitoro, University of Victoria, British Columbia, Canada, June 16-20, 1999, University of Victoria Press, 163-172 (1999).
4. *E. Pucci, G. Saccomandi: Osservazioni sul modello di Van der Vaals in elasticità finita in Proceedings AIMETA 99 COMO (1999).
5. C. O. Horgan, G. Saccomandi: Pure azimuthal shear of isotropic, hyperelastic, incompressible nonlinear elastic materials with limiting chain extensibility, Int. J. of Nonlinear Mechanics 36, 465-475 (2001).
6. C. O. Horgan, G. Saccomandi: Large deformations of rotating solid cylinders for non-Gaussian isotropic, incompressible hyperelastic materials, J. of Applied Mechanics (Trans. ASME) 68, 115-117 (2001).
7. C. O. Horgan, G. Saccomandi: Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials, Proceedings of the Royal Society A-457, 1999-2017 (2001).
8. C. O. Horgan, G. Saccomandi, I. Sgura: A two-point boundary value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials, SIAM J. of Appl. Math. 62, 1712-1727 (2002).
9. C. O. Horgan, G. Saccomandi: Constitutive modelling of rubber-like and biological materials with limiting chain extensibility, Mathematics and Mechanics of Solids 7, 353-371 (2002).
   
10. E. Pucci, G. Saccomandi: A note on the Gent Model for Rubber-Like Materials, Rubber Chemistry and Technology 75, 839-851 (2002).
11. C. O. Horgan, G. Saccomandi: A molecular-statistical basis for the Gent model of rubber elasticity, J. of Elasticity 68, 167-176 (2002).
12. C. O. Horgan, G. Saccomandi: Finite thermoelasticity with limiting chain extensibility, Journal of Mechanics and Physics of Solids 75, 839-851 (2003).
13. C. O. Horgan, G. Saccomandi: A description of arterial wall mechanics using limiting chain extensibilty constitutive models, Biomechanics and Modeling in Mechanobiology 1, 251-266 (2003).
14. C. O. Horgan, R. W. Ogden, G. Saccomandi: A theory of stress softening of elastomers based on finite chain extensibility, Proceedings Royal Society of London A-460, 1737-1754 (2004).
    
15. #G. Saccomandi: Phenomenological theory of rubber-like elasticity chapter 3 in Thermomechanics of Rubber-Like Elasticity: CISM Lectures Notes 452 Eds. G. Saccomandi and R.W.Ogden Springer Wien NewYork, 91-134 (2004).
16. R. W. Ogden, G. Saccomandi, I. Sgura: Fitting hyperelastic models to experimental data, Computational Mechanics 34, 484-502 (2004).
17. *C. O. Horgan, G. Saccomandi: Elasticity of Atactic Polymers, Proceedings WASCOM 2003, Ed. S. Rionero, S. Pennisi, World Scientific (2004).
18. C. O. Horgan, G. Saccomandi: Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility to appear J. of Elasticity (2005).
19. C. O. Horgan, G. Saccomandi: A New Constitutive Theory for Fiber-Reinforced Incompressible Nonlinearly Elastic Solids to appear Journal of Mechanics and Physics of Solids.

Waves

1. L. Marino, G. Saccomandi, C. Valente: A note about three dimensional exact dynamical solutions for neo-Hookean materials, Int. J. of Nonlinear Mech. 34, 1-4 (1998).
2. M. Hayes, G. Saccomandi: Finite amplitude transverse waves in special incompressible viscoelastic solids, J. of Elasticity 59, 213-225 (2000).
3. M. Hayes, G. Saccomandi: Finite Amplitude waves superimposed on pseudoplanar motions for Mooney-Rivlin viscoelastic solids, Int. J. of Nonlinear Mechanics 37, 1139-1146 (2002).
4. K.R. Rajagopal, G. Saccomandi: Shear waves in some models of nonlinear viscoelasticity, Q. J. Mech. Appl. Math. 56, 311-326 (2003).
5. G. Saccomandi: Elastic rods, Weierstrass’ theory and special travelling waves solutions with compact support, Int. J. of Nonlinear Mechanics 39, 331-339 (2004).
6. M. Destrade, G. Saccomandi: Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids, Wave Motion 40, 251-262 (2004).
7. M. A. Hayes, G. Saccomandi: Antiplane shear motions for viscoelastic Mooney-Rivlin materials, Quart. of Mech. and Appl. Math. 57, 379-392 (2004).
8. M. Destrade, G. Saccomandi: Some results on finite amplitude waves propagating in rotating media,  Acta Mechanica 173, 19-31 (2004).
9. G. Saccomandi: Small amplitude waves in Mooney-Rivlin viscoelastic solids to appear Mathematics and Mechanics of Solids (2005). 
10. M. Destrade, G. Saccomandi: On finite amplitude elastic waves propagating in compressible solids to appear Physical Review E (2005) . 

Fluids, Miscellanea in Mechanics and  Applied Mathematics

1. G. Saccomandi: Precessioni ad asse verticale del girostato pesante, Rend. Acc. Naz. Lincei, Serie 9-v 2, pp 235-240 (1991).
2. G. Saccomandi: Distribuzione delle tensioni nei pannelli in muratura, Giornale del Genio Civile fascicolo 1,2,3, 17-26 (1991).
3. G. Saccomandi: Some remarks about the thermoelastic theory of materials with voids, Rendiconti di Matematica Serie VII 12, 45-58 (1992).
4. G. Saccomandi: Body loadings equivalent to a seismic dislocation in thermo-microstretch elastic solids, Int. J. of Engng. Sci. 30, 913-917 (1992).
5. Y. Cherruault, G. Saccomandi, B. Some: New results for convergence of Adomian’s method applied to integral equations, Math. Comput. Modelling 16, 85-93 (1992).
6. G. Saccomandi: Some unsteady exact pseudo-plane solutions for the Navier-Stokes equations, Meccanica 29, 261-269 (1994).
7. G. Saccomandi: Some exact pseudo-plane solutions of the first kind for the Navier-Stokes equations, ZAMP 45, 978-985 (1994).
   
8. G. Saccomandi: Acceleration waves in a thermo-microstretch fluid, Int. J. of Nonlinear Mech. 29, 809-817 (1994).
9. A. Belleni-Morante, G. Saccomandi: Time dependent photon transport in a three dimensional interstellar cloud with stochastic clumps, Astrophysics and Space Science 234, 85-105 (1995).
10. E. Guglielmino, G. Saccomandi: On the bending of pretwisted bars by a terminal transverse load, Int. J. of Engng. Sci. 34, 1285-1299 (1996).
11. G. Saccomandi: On the spatial diffusion of diseases, Mathematical and Computer Modeling 25, 83-95(1997).
12. A. Day, G. Saccomandi: On rates of propagation for Burgers’ equation, Rendiconti Lincei s9V9, 145-148 (1998).
13. G. Saccomandi: A nonlinear Boltzmann-like model of outgassing and contamination, Transport Theory & Statistical Physics 28, 102-115 (1999).
14. A. Day, G. Saccomandi: A note on the propagation of the bulk of a disturbance for a hyperbolic equation, Quart. of Appl. Math. 57, 87-91 (1999).
15. A. Day, G. Saccomandi: On the propagation of the bulk of a mass distribution subject to periodic convection and diffusion, Quart. of Appl. Math. 57, 561-572 (1999).
16. K. R. Rajagopal, G. Saccomandi: Unsteady exact solution for flows of fluids with pressure dependent viscosities, submitted

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RESEARCH INTERESTS

Wave Propagation in Solids

With Michel Destrade (Paris), Mike Hayes (Dublin) and Ray Ogden (Glasgow) I am interested in several aspects of nonlinear acoustics. The aim is to derive wave equations in nonlinear theories and to find some general solutions for  these equations by using reduction methods. We have been succesfull in obtaining some interesting solution for dissipative Mooney-Rivlin materials and for general elastic materials when the balance equations are written down in non-inertial frames. Now we are considering surfaces waves in viscoelasticity.

Mathematical Models of Biomolecules

With Giuseppe Gaeta (Milano), Ivonne Sgura (Lecce) and Deborah Lacitignola (Lecce) we are involved in a national project where we are trying to develop some coarse models of DNA dynamics.

Mathematical Models of Rubber-Like Materials and Soft Tissues

With Luis Dorfmann (Vienna), Cornelius Horgan (Charlottesville),  Josè Merodio (Santander), Ray Ogden (Glasgow), I am going on in my reseraches about atactic rubbers, with special attention to obtain models that may be useful also to study arterial walls mechanics. I am also interested in electroactive rubbers.

Implicit Theories of Continuum Mechanics

With K. R. Rajagopal (College Station) I am studying some general problems of continuum mechanics as for example fluids with pressure dependent viscosity and constituive equations defined in an implicit form.