Dynamics of graphene origami-enabled auxetic metamaterial beams via various shear deformation theories

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 203, P. 104123 - 104123

Published: July 27, 2024

Although auxetic metamaterials exhibit unique and unusual mechanical properties, such as a negative Poisson's ratio, their mechanics remains poorly understood. In this study, we model graded beam fabricated from graphene origami-enabled investigate its dynamics the perspective of different shear deformation theories. The metamaterial is composed multiple layers metamaterials, where content origami varies through layered thickness; both property other properties are varied in manner, which effectively be approximated via micromechanical models. Euler-Bernoulli, third-order, higher-order deformable refined theories adopted to continuous system. Following this, governing motion equations derived using Hamiltonian principle then numerically solved weighted residual method. obtained results provide comprehensive understanding how distribution pattern, folding degree, utilisation influence dynamic behaviour beam.

Language: Английский

Size‐dependent buckling loads of non‐uniform Bernoulli–Euler beams with elastic boundary conditions and thermal effects based on two‐phase local/nonlocal elastic model

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Journal Year: 2024, Volume and Issue: unknown

Published: Nov. 6, 2024

Abstract We present predictive models of the size‐dependent buckling loads non‐uniform Bernoulli–Euler beams under thermal effects based on two‐phase local/nonlocal elastic model. The beam ends are assumed to be constrained by springs with translational and rotational stiffness simulate general boundary conditions. In contrast most literature in this field, both bending deformations simultaneously considered two phases, that is, effect is taken as equivalent a load. By using fully differential form equation set constitutive conditions, problem solved numerically aid generalized quadrature method (GDQM). Through conducting validation study, several parametric studies given for examining slope beams’ thickness variation, nonlocal parameter, elastically supported conditions beams. results show has drastic influence critical bucking Furthermore, consideration load will further reduce actual

Language: Английский

Large deflection of a nonlocal gradient cantilever beam

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 206, P. 104172 - 104172

Published: Nov. 19, 2024

Language: Английский