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Buckling of an Elastic Strut Made of a Nonlocal Material
Author(s) -
Nowinski J. L.
Publication year - 1985
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.19850650802
Subject(s) - buckling , euler's formula , structural engineering , stress (linguistics) , mathematical analysis , mathematics , classical mechanics , physics , mechanics , engineering , linguistics , philosophy
Buckling of a slender elastic strut built‐in at one end and loaded at the other is examined from the standpoint of the non‐local theory. Using the Strength of Materials Approach, the equation for the nonlocal longitudinal stress is derived. The governing equation obtained represents a sum of a number of difference equations with the coefficients provided by the dynamics of atomic lattices. Remarkably, both the first and the second approximation give the value of the buckling load coinciding with that of Euler.