Large elastic deflections of bars based on nonlocal elasticity
Gökhan Güçlü, Reha Artan
2020ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik20 citationsDOI
Abstract
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 ratio increases (γ is nonlocality parameter, L is length of beam).
Topics & Concepts
Quantum nonlocalityElasticity (physics)Elastic modulusBeam (structure)Perturbation (astronomy)Classical mechanicsPhysicsMathematicsOpticsQuantum mechanicsQuantum entanglementThermodynamicsQuantumNonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineeringComposite Structure Analysis and Optimization