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On the Three‐Dimensional Cerruti Problem for an Elastic Nonlocal Half‐Space
Author(s) -
Nowinki J. L.
Publication year - 1992
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.19920720702
Subject(s) - space (punctuation) , mathematical analysis , context (archaeology) , fourier transform , mathematics , spacetime , exponential function , elastic modulus , poisson distribution , classical mechanics , physics , computer science , quantum mechanics , paleontology , biology , operating system , statistics , thermodynamics
The classical Cerruti problem of a half‐infinite elastic space acted upon by a tangential surface load is examined in its nonlocal context taking the constitutive equations in the Kroener‐Eringen form. After a brief discussion of the values of the nonlocal moduli, a summary of the nonlocal Kelvin problem serving as a basis for the solution of the Cerruti problem is given. By appeal to Westegaard's twinned gradient procedure (determining the effects of a change of poisson's ratio) mapped into a Fourier exponential transform space, a transition from the Kelvin to the Cerruti problem via the Boussinesq problem is achieved. An example illustrating in some detail the calculation of stress is added.