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 (Formula presented.) ratio increases (γ is nonlocality parameter, L is length of beam).
Original language | English |
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Article number | e201900108 |
Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
Volume | 100 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Apr 2020 |
Bibliographical note
Publisher Copyright:© 2020 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Keywords
- large elastic deflections
- nanobars
- nonlocal elasticity
- perturbation method
- small scale effect