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• 2016

  Evaluation of the temperature effect on the fractional linear viscoelastic model for an epoxy resin

  Colinas Armijo, N., Di Paola, M. & Valenza, A., 2016, VIII International Conference on “Times of polymers and composites: From Aerospace to Nanotechnology". p. 020089-1-020089-4 4 p.

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • epoxy resins
  • temperature effects
  • evaluation
  • temperature
  5 Citations (Scopus)

• Finite element method on fractional visco-elastic frames

  Fileccia Scimemi, G. & Di Paola, M., 2016, In: COMPUTERS & STRUCTURES. 164, p. 15-22 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Fractional Differential Equation
  • Differential equations
  • Finite Element Method
  • Fractional
  • Euler-Bernoulli Beam
  7 Citations (Scopus)

• First-passage problem for nonlinear systems under Lévy white noise through path integral method

  Di Paola, M., Pirrotta, A., Di Matteo, A., Bucher, C. & Pirrotta, A., 2016, In: Nonlinear Dynamics. 85, p. 1445-1456 12 p.

  Research output: Contribution to journal › Article › peer-review

  • Integral Method
  • Curvilinear integral
  • White noise
  • Nonlinear systems
  • Nonlinear Systems
  14 Citations (Scopus)

• Fractional characteristic times and dissipated energy in fractional linear viscoelasticity

  Colinas Armijo, N., Di Paola, M. & Pinnola, F. P., 2016, In: COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION. 37, p. 14-30 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Linear Viscoelasticity
  • Viscoelasticity
  • Fractional
  • Energy
  • Excitation
  23 Citations (Scopus)

• Ideal and physical barrier problems for non-linear systems driven by normal and Poissonian white noise via path integral method

  Di Paola, M., Bucher, C. & Di Paola, M., 2016, In: International Journal of Non-Linear Mechanics. 81, 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Integral Method
  • Curvilinear integral
  • White noise
  • Probability Density
  • Nonlinear systems
  9 Citations (Scopus)

• Impulsive tests on historical structures: The dome of teatro massimo in Palermo

  Di Paola, M., Pirrotta, A., Iacono, F. L., Navarra, G. & Pirrotta, A., 2016, In: THE OPEN CONSTRUCTION & BUILDING TECHNOLOGY JOURNAL. 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Domes
  • Theaters
  • Monitoring
  • Structural dynamics
  • Restoration
  3 Citations (Scopus)

• Innovative modeling of tuned liquid column damper controlled structures

  Di Matteo, A., Di Paola, M., Pirrotta, A. & Pirrotta, A., 2016, In: Smart Structures and Systems. 18, 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Liquids
  • Vibration control
  21 Citations (Scopus)

• Linear and nonlinear fractional hereditary constitutive laws of asphalt mixtures

  Di Mino, G., Lo Presti, D., Di Paola, M., Pinnola, F. P., Presti, D. L. & Airey, G., 2016, In: Journal of Civil Engineering and Management. 22, p. 882-889 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Asphalt mixtures
  • Creep
  • Recovery
  • Power Law
  • Temperature
  20 Citations (Scopus)

• On the behavior of a three-dimensional fractional viscoelastic constitutive model

  Di Paola, M., Alotta, G., Barrera, O., Cocks, A. C. F. & Cocks, A. C. F., 2016, In: Meccanica. 52, 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Poisson ratio
  • Constitutive models
  • Thermodynamics
  • thermodynamics
  27 Citations (Scopus)

• Path integral solution for nonlinear systems under parametric Poissonian white noise input

  Pirrotta, A., Di Paola, M., Di Matteo, A. & Pirrotta, A., 2016, In: Probabilistic Engineering Mechanics. 44, 10 p.

  Research output: Contribution to journal › Article › peer-review

  • White noise
  • nonlinear systems
  • white noise
  • impulses
  • Nonlinear systems
  12 Citations (Scopus)

• Solutions for the design and increasing of efficiency of viscous dampers

  Di Paola, M., Alotta, G., Ferrotto, M. F. & Cavaleri, L., 2016, In: THE OPEN CONSTRUCTION & BUILDING TECHNOLOGY JOURNAL. 10, p. 106-121 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Fluids
  • Energy dissipation
  • Costs
  11 Citations (Scopus)
• 2017

  Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping

  Pirrotta, A., Di Paola, M., Yurchenko, D., Burlon, A., Di Paola, Pirrotta, A., Failla, G. & Failla, G., 2017, In: ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS. PART B. MECHANICAL ENGINEERING. 3, p. 030903- 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Stochastic systems
  • Degrees of freedom (mechanics)
  • White noise
  • Derivatives
  • Damping
  9 Citations (Scopus)

• Cross-correlation and cross-power spectral density representation by complex spectral moments

  Alotta, G., Di Paola, M. & Pinnola, F. P., 2017, In: International Journal of Non-Linear Mechanics. 94, p. 20-27 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Power Spectral Density
  • Cross-correlation
  • Power spectral density
  • White noise
  • Spectrality
  9 Citations (Scopus)

• Direct evaluation of jumps for nonlinear systems under external and multiplicative impulses

  Di Matteo, A., Pirrotta, A., Di Paola, M. & Pirrotta, A., 2017, In: JOURNAL OF VIBRATION AND CONTROL. 23, p. 1753-1767 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonlinear systems
  • Differentiation (calculus)
  2 Citations (Scopus)

• Evaluation of the shakedown limit load multiplier for stochastic seismic actions

  Palizzolo, L., Tabbuso, P., Di Paola, M. & Benfratello, S., 2017, In: Meccanica. 52, p. 2735-2750 16 p.

  Research output: Contribution to journal › Article › peer-review

  • multipliers
  • Load limits
  • evaluation
  • histories
  • Monte Carlo methods
  11 Citations (Scopus)

• Fractional model of concrete hereditary viscoelastic behaviour

  Granata, M. F. & Di Paola, M., 2017, In: Archive of Applied Mechanics. 87, p. 335-348 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Creep
  • Concretes
  • Concrete construction
  • Aging of materials
  • Concrete mixtures
  4 Citations (Scopus)

• Fractional viscoelastic beam under torsion

  Di Paola, M., Pirrotta, A., Colinas Armijo, N., Pirrotta, A. & Cutrona, S., 2017, In: COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION. 48, p. 278-287 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Torsional stress
  • Torsion
  • Fractional
  • Fractional Calculus
  • Discretization
  10 Citations (Scopus)

• Fractional viscoelastic behaviour under stochastic temperature process

  Di Paola, M., Di Matteo, A. & Colinas Armijo, N., 2017, In: Probabilistic Engineering Mechanics. 54, p. 37-43 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Temperature
  • temperature
  • creep tests
  • Power spectral density
  • characterization
  8 Citations (Scopus)

• Markovian approximation of linear systems with fractional viscoelastic term

  Di Paola, M., Colinas Armijo, N., Pirrotta, A. & Pirrotta, A., 2017, p. 2333-2343. 11 p.

  Research output: Contribution to conference › Other › peer-review

  • Linear systems
  • Derivatives
  • Differential equations
  • White noise
  • Linearization

• Nonlinear rocking of rigid blocks on flexible foundation: Analysis and experiments

  Di Matteo, A., Pirrotta, A., Di Paola, M. & Spanos, P. D., 2017, In: Procedia Engineering. 199, p. 284-289 6 p.

  Research output: Contribution to journal › Article › peer-review

  • Experiments
  • Marble
  • Equations of motion
  • Physics
  • Geometry
  3 Citations (Scopus)

• Non-linear viscoelastic behavior of polymer melts interpreted by fractional viscoelastic model

  Di Paola, M., La Mantia, F. P., Di Lorenzo, S., Pirrotta, A., Di Lorenzo, S. & Pirrotta, A., 2017, In: Meccanica. 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Polymer melts
  • polymers
  • Creep
  • Shear viscosity
  • stress functions
  11 Citations (Scopus)

• On the dynamics of non-local fractional viscoelastic beams under stochastic agencies

  Alotta, G., Pinnola, F. P., Di Paola, M., Pinnola, F. P., Alotta, G., Failla, G. & Failla, G., 2017, In: COMPOSITES. PART B, ENGINEERING. 137, p. 102-110 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Power spectral density
  • Equations of motion
  • Viscoelasticity
  • White noise
  • Impulse response
  24 Citations (Scopus)

• On the moving load problem in Euler–Bernoulli uniform beams with viscoelastic supports and joints

  Di Paola, M., Di Lorenzo, S., Pirrotta, A., Di Lorenzo, S., Pirrotta, A. & Failla, G., 2017, In: Acta Mechanica. 228, 17 p.

  Research output: Contribution to journal › Article › peer-review

  16 Citations (Scopus)

• Rocking of rigid block on nonlinear flexible foundation

  Di Paola, M., Pirrotta, A., Di Matteo, A. & Spanos, P. D., 2017, In: International Journal of Non-Linear Mechanics. 94, p. 362-374 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Excitation
  • Nonlinear Model
  • Physics
  • Model
  • Contact Force
  10 Citations (Scopus)

• Stochastic analysis of a non-local fractional viscoelastic beam forced by Gaussian white noise

  Pinnola, F. P., Di Paola, M., Alotta, G. & Failla, G., 2017. 10 p.

  Research output: Contribution to conference › Other › peer-review

  • White noise
  • Differential equations
  • Statistics

• Stochastic response of a fractional vibroimpact system

  Pirrotta, A., Di Paola, M., Yurchenko, D., Burlon, A., Pirrotta, A., Failla, G. & Failla, G., 2017, In: Procedia Engineering. 199, p. 1086-1091 6 p.

  Research output: Contribution to journal › Article › peer-review

  • Derivatives
  • Degrees of freedom (mechanics)
  • White noise
  • Computer simulation
• 2018

  Step-by-step integration for fractional operators

  Colinas Armijo, N. & Di Paola, M., 2018, In: COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION. 59, p. 292-305 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Mathematical operators
  • Fractional
  • Discretization
  • Operator
  • Riemann-Liouville Derivative
  5 Citations (Scopus)

• The finite element implementation of 3D fractional viscoelastic constitutive models

  Di Paola, M., Alotta, G., Barrera, O., Cocks, A. & Cocks, A., 2018, In: Finite Elements in Analysis and Design. 146, p. 28-41 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Viscoelastic Model
  • Constitutive Model
  • Constitutive models
  • Finite Element
  • Fractional
  12 Citations (Scopus)