Pubblications
1. Di Paola M., Zingales M., 2000, “Digital Simulation of Earthquake Ground Motion” Earthquake Engineering and Structural Dynamics, 29, 1011-1027.
2. Zingales M., Elishakoff I., 2000, “Localization of the Bending Response in Presence of Axial Load” International Journal of Solids and Structures, 37, 6739-6753.
3. Zingales M., Elishakoff I. , 2001, “Hybrid Aeroelastic Optimization and Anti-Optimization” American Journal of Aeronautic and Astronautic (AIAA), 39, 161-175.
4. Zingales M., Elishakoff I., 2001, “Anti-Optimization vs Probability in an Applied Mechanic Problem: Vector Uncertainty”, Journal of Applied Mechanics, 67, 472-484.
5. Di Paola M., Zingales M., 2003, “Stochastic Seismic Analysis of Dam-Reservoir System” Earthquake Engineering and Structural Dynamics, 32, 165-172.
6. Elishakoff I., Zingales M., 2003, “Coincidence of Boobnov-Galerkin and Exact Solutions in an Applied Mechanic Problem”, Journal of Applied Mechanics, 70, 777-779.
7. Zingales M., 2003, “Seismically Induced, Non-stationary Hydrodynamic Pressure in a Dam-Reservoir System”, Probabilistic Engineering Mechanics, 18, 151-163.
8. Elishakoff I., Zingales M., 2004, “Convergence of Boobnov-Galerkin Method Exemplified”, AIAA Journal, 42, n.9, 1931-1933.
9. Elishakoff, I., Zingales M., 2003, “Contrasting Probabilistic and Anti-Optimization Approaches in an Applied Mechanics Problem”, International Journal of Solids and Structures¸ 40, n. 16, 4281-4297.
10. Di Paola M., Pirrotta A., Zingales M., 2004, “Stochastic Dynamics of Linearly Elastic Trusses in Presence of Structural Uncertainties (Virtual Distorsion Method Approach)”, Probabilistic Engineering Mechanics, 19, Vol.1-2, 41-51.
11. Pirrotta A., Zingales M., 2006, “Actively Controlled Structural Systems under Delta-Correlated Random Excitation: Linear and Non-Linear Case”, Communications in Non-Linear Sciences and Numerical Simulations, 4,Vol. 11, 483-498.
12. Pirrotta A., Zingales M., 2006, “Stochastic analysis of dynamical systems with delayed control forces”, Communications in Non-Linear Sciences and Numerical Simulation, 5,Vol. 11, 646-661.
13. Di Paola M., Pirrotta A., Zingales M., 2007, “Ito Calculus extended to stochastic dynamics of non-linear systems under alpha-stable Lèvy white noises (A novel clip of the levy motion)”, International Journal of non-linear mechanics, 8, Vol.42, 1046-1054.
14. Di Paola M., Pirrotta A., Zingales M., 2008, “Stochastic analysis of external and parametric dynamical systems under sub-Gaussian Lèvy white-noise”, Structural Engineering and Mechanics, 4, Vol. 28, 373-386.
15. Di Paola M., Zingales M.,2008, ” Stochastic Differential Calculus for Wind-Exposed Structures via Autoregressive Continuous Filters (ARC), Journal of wind Engineering & Industrial Aerodynamics, 12, Vol.96, 2403-2417.
16. Di Paola M., Zingales M., 2008, Long-range Cohesive Interactions of Non-Local Continuum faced by Fractional Calculus, International Journal of Solids and Structures, 9, Vol.45, 5642-5659.
17. Carpinteri A., Cornetti P., Sapora A., Di Paola M., Zingales M., (2009), “Fractional Calculus in Solid Mechanics: Local vs Non-Local Approach”, Physica Scripta, Vol. T136, Article Number 014003.
18. Di Paola M., Marino F., Zingales M., (2009), “Integral and Fractional Model of Elastic Foundation based on Long-Range Interactions”, International Journal of Solids and Structures, Vol.46, 3124-3117.
19. Di Paola M., Failla G., Zingales M., (2009), “Physically based approach to the mechanics of strong non-local linear elasticity theory”, Journal of Elasticity, Vol.97, 103-130.
20. Di Paola M., Zingales M., (2009), “Variational Aspects of the Physically-Based Approach to 3D non-Local Mechanics”, Materials Science Forum, Vol. 638- 642, 2549-2554.
21. Cottone G., Di Paola M., Zingales M., (2009), “Elastic Waves Propagation in 1D Fractional non-local continuum” Physica E: Low-Dimensional Systems & Nanostructures, Vol. 42, 95-103.
22. Failla G., Santini A., Zingales M., (2010), “Solution Strategies for 1D Linear Elastic Solids with Long-Range Interactions: Smooth and Fractional Decay” Mechanics Research Communications, Vol.37, 13-21.
23. Di Paola M., Pirrotta A., Zingales M., (2010), “Physically based approach to the mechanics of non-local continuum: Variational Principles”, International Journal of Solids and Structures, Vol. 47, 539-548.
24. Di Paola M., Failla G., Zingales M., (2010), “The mechanically-based approach to 3d non-local linear elasticity theory long-range central interactions”, International Journal of Solids and Structures, Vol. 47, 2347-2358.
25. Zingales M., (2011) “Wave Propagation in a Physically-Based Non-local Elastic Continuum”, Journal of Sound and Vibrations, Vol. 330, 3973-3989.
26. Zingales M., Di Paola M., Inzerillo G., (2011), “The Finite Element Method for the Physically-Based Model of non-Local Elastic Continuum”, International Journal for Numerical Methods in Engineering, Vol. 86, 1558-1576.
27. Borino G., Di Paola M., Zingales M., (2011), “A non-local model of fractional heat conduction in rigid bodies”, The European Physics Journal-Special Topics, Vol. 173, 173-184.
28. Di Paola M. Sofi A., Zingales M., (2011) “Stochastic analysis of One-Dimensional Heterogeneous Solids with Long-Range Interactions”, International Journal of Multiscale Methods in Computational Engineering, Vol. 8, Article #2510.
29. Di Paola M., Failla G., Sofi A., Zingales M., (2011), “A Mechanically-Based Non-Local Beam Theory”, International Journal of Mechanical Sciences, 9, Vol.53, 676-687.
30. Di Paola M., Zingales M., (2011), “The Fractional Differential Calculus for the 3D Mechanically-Based Non-Local Elasticity”, International Journal of Multiscale Methods in Computational Engineering, Vol. 9, Article #2510.
31. Di Paola M., Zingales M., (2012), “Exact Mechanical Models for Fractional Viscoelastic Material”, Journal of Rheology., Vol.58, 988-1004.
32. Di Paola M., Failla G., Sofi A., Zingales M., (2012), “On the Vibrations of a Mechanically-bases Non-local Beam Model”, Computational Material Science, 64, 278-282.
33. Failla G., Santini A., Zingales M., (2012), “The fractional calculus approach to the analysis of elastic foundations shear layers”, Archive of Applied Mechanics, 83, 253-272.
34. Di Paola M., Pinnola F.P., Zingales M., (2013), “A discrete mechanical model of fractional hereditary materials”, Meccanica: An International Journal, in press, doi: 10.1007/s11012-012-9685-4
35. Di Paola M., Failla G., Zingales M., (2013), ”Non-Local Shear and Damping Models for Shear-Deformable Beams” , European Journal of Mechanics: A/Solids, 40, 69-83.
36. Muscolino G., Sofi A., Zingales M., (2013), “One-dimensional heterogeneous solids with uncertain-but-bounded elastic modulus in presence of long- range interactions”, Computers and Structures, in press.
37. Di Paola M., Failla G., Pirrotta A., Sofi A., Zingales M., (2013), “The Mechanically-Based non-local elasticity: An overview of main results and future challenges”, Philosophical Transaction of the Royal Society of London A: Mathematical Physical and Engineering Science, 371, 1-16
38. Di Paola M., Pinnola F.P., Zingales M., (2013), “Fractional differential equations and related exact mechanical models”, Computers and Mathematics with Applications, in press.
39. Zingales M., Failla G., Rizzo U., (2013), “Fractional-order thermal energy transport for small-scale engineering devices”, Journal of Nanomechanics and Micromechanics (ASCE), in press.
40. Di Paola M., Failla G., Zingales M., (2013), “A non-local Euler-Bernoulli beam model”, Journal of Nanomechanics and Micromechanics (ASCE), in press.
41. Deseri L., Di Paola M., Zingales M., Pollaci P. (2013), “Power-law hereditariness of hierarchical fractal bones”, International Journal for Numerical Methods in Biomedical Engineering, in press.
42. Di Paola M., Zingales M., (2013), “The multiscale stochastic model of fractional hereditary materials (FHM)” IUTAM Procedia, 6, 50-59.
43. Muscolino G. Sofi A., Zingales M., (2013), “Long-range interactions in 1D heterogeneous solids with uncertainty”, IUTAM Procedia, 6, 69-78.
44. Mongiovì M.S., Zingales M., (2013), “A non-local model of thermal energy transport: The fractional temperature equation”, Journal of Heat and Mass Transfer, in press.
45. Deseri L, Zingales M., Pollaci P., (2013), “On the Notion of State of Fractional Hereditary Materials”, Discrete and Continuous Dynamical Systems, in press.