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Keywords: fractional calculus
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Journal Articles
Journal:
Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. August 2022, 89(8): 081001.
Paper No: JAM-22-1120
Published Online: June 16, 2022
...Sai Sidhardh; Sansit Patnaik; Fabio Semperlotti We present a theoretical and computational framework based on fractional calculus for the analysis of the nonlocal static response of cylindrical shell panels. The differ-integral nature of fractional derivatives allows an efficient and accurate...
Journal Articles
Journal:
Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. April 2021, 88(4): 041013.
Paper No: JAM-20-1583
Published Online: February 12, 2021
...Sai Sidhardh; Sansit Patnaik; Fabio Semperlotti We present a comprehensive study on the postbuckling response of nonlocal structures performed by means of a frame-invariant fractional-order continuum theory to model the long-range (nonlocal) interactions. The use of fractional calculus facilitates...
Journal Articles
Journal:
Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. January 2008, 75(1): 014502.
Published Online: January 14, 2008
... rods (structures) mechanical stability viscoelasticity damping deformation bifurcation differential equations damping fractional calculus stability viscoelasticity In many recent studies of the viscoelastic deformation processes, it was shown that the behavior of the material can...