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Large elastic deflections of bars based on nonlocal elasticity
Author(s) -
Güçlü Gökhan,
Artan Reha
Publication year - 2020
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.201900108
Subject(s) - quantum nonlocality , elasticity (physics) , elastic modulus , beam (structure) , perturbation (astronomy) , classical mechanics , physics , mathematics , optics , quantum mechanics , quantum entanglement , thermodynamics , quantum
Abstract In this study, large elastic deflections of beams have been investigated using the theory of nonlocal elasticity. Fundamental equations have been derived for large elastic deflections and small strains in the frame of nonlocal elasticity and the solution has been made by the perturbation method. It has been observed that the difference between large elastic local and non‐local deflections and moments grows significantly as the γ / L ratio increases (γ is nonlocality parameter, L is length of beam).