Static‐kinematic fractional operators for fractal and non‐local solids | Zendy

Carpinteri A. | Zendy; Cornetti P. | Zendy; Sapora A. | Zendy

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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.

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