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Static‐kinematic fractional operators for fractal and non‐local solids
Author(s) -
Carpinteri A.,
Cornetti P.,
Sapora A.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200800115
Subject(s) - fractal , kinematics , fractional calculus , continuum mechanics , mathematics , calculus (dental) , statistical physics , range (aeronautics) , classical mechanics , mathematical analysis , physics , materials science , medicine , dentistry , composite material
Two fractional calculus approaches in the framework of continuum mechanics are revisited and compared. The former is a local approach, which has been proposed to investigate the behaviour of fractal media. The latter is a non‐local approach, according to which long‐range interactions between material particles are opportunely modelled in the equilibrium equations. Analogies and differences between the two models are outlined.