Journal ArticleDOI
Nonlocal strain gradient nonlinear resonance of bi-directional functionally graded composite micro/nano-beams under periodic soft excitation
Saeid Sahmani,Babak Safaei +1 more
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TLDR
In this paper, the size-dependent nonlinear primary resonance of periodic soft excited micro/nano-beams made of bi-directional functionally graded materials (2D-FGMs) is studied.Abstract:
With the aid of advanced design techniques, functionally graded materials as promising new materials can be fabricated into various micro/nano-structures to acquire stronger mechanical performance. In this work, the size-dependent nonlinear primary resonance of periodic soft excited micro/nano-beams made of bi-directional functionally graded materials (2D-FGMs) is studied. To accomplish this end, the nonlocal strain gradient theory of elasticity is utilized within the framework of the refined hyperbolic shear deformation beam theory to construct a size-dependent beam model. On the basis of the variational approach using the principle of Hamilton, the non-classical differential equations of motion are achieved. Thereafter, a discretization scheme based numerical solving process via generalized differential quadrature method (GDQM) together with the pseudo-arclength continuation technique, the nonlocal strain gradient frequency response and amplitude response associated with the nonlinear primary resonance of 2D-FGM micro/nano-beams with different boundary conditions are obtained. It is displayed that the nonlocal size dependency makes a reduction in the oscillation amplitudes associated with both of the bifurcation points, but the strain gradient size effect causes to increase them. These patterns are more significant for the second bifurcation point and for the simply supported-simply supported boundary conditions in comparison with the clamped-clamped ones. Also, it is observed that by increasing the value of both of the axial and lateral material property gradient indexes, the peak of the oscillation amplitude and its associated excitation frequency increase.read more
Citations
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Graphene and CNT impact on heat transfer response of nanocomposite cylinders
TL;DR: In this paper, the authors described in this paper was supported by National Natural Science Foundation of China (Grant no. 11972204) and Natural Sciences and Engineering Research Council of Canada (NSERC under grant RGPIN-217525).
Journal ArticleDOI
Buckling and postbuckling response of nonlocal strain gradient porous functionally graded micro/nano-plates via NURBS-based isogeometric analysis
TL;DR: In this paper, a modified porosity-dependent power-law function is used to estimate the effective mechanical properties of PFGM micro/nano-plates with various porosity distribution patterns.
Journal ArticleDOI
Modified couple stress-based geometrically nonlinear oscillations of porous functionally graded microplates using NURBS-based isogeometric approach
TL;DR: In this paper, the porosity-dependent nonlinear large-amplitude oscillation responses of rectangular microplates with and without a central square cutout made of a porous functionally graded material (PFGM) is explored using modified couple stress theory of elasticity (MCSTE).
Journal ArticleDOI
Calcium phosphate-PLA scaffolds fabricated by fused deposition modeling technique for bone tissue applications: Fabrication, characterization and simulation
Saeid Sahmani,Amirsalar Khandan,Saeid Esmaeili,Saeed Saber-Samandari,M. Ghadiri Nejad,Mohammad Mohammadi Aghdam +5 more
TL;DR: In this paper, a beam-type bone implant made of porous polymers with three different periodic cellular topologies was extracted experimentally corresponding to each porosity shape with various pore sizes.
Journal ArticleDOI
Influence of homogenization models on size-dependent nonlinear bending and postbuckling of bi-directional functionally graded micro/nano-beams
Saeid Sahmani,Babak Safaei +1 more
TL;DR: In this paper, different homogenization schemes are employed to analyze both size-dependent postbuckling and nonlinear bending behavior of micro/nano-beams, made of a bi-directional functionally graded material (BDFGM), under external axial compression and distributed load.
References
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Journal ArticleDOI
Nonlocal theories for bending, buckling and vibration of beams
J. N. Reddy,J. N. Reddy +1 more
TL;DR: In this article, the Euler-Bernoulli, Timoshenko, Reddy, and Levinson beam theories are reformulated using the nonlocal differential constitutive relations of Eringen.
Journal ArticleDOI
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
C.W. Lim,G. Zhang,J. N. Reddy +2 more
TL;DR: In this paper, a higher-order non-local strain gradient elasticity model is proposed, which is based on the nonlocal effects of the strain field and first gradient strain field.
Journal ArticleDOI
Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
TL;DR: In this paper, a size-dependent beam model is proposed for nonlinear free vibration of a functionally graded (FG) nanobeam with immovable ends based on the nonlocal strain gradient theory (NLSGT) and Euler-Bernoulli beam theory in conjunction with the von-Karman's geometric nonlinearity.
Journal ArticleDOI
Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory
TL;DR: In this paper, a size-dependent nonlinear Euler-Bernoulli beam is considered in the framework of the nonlocal strain gradient theory and the geometric nonlinearity due to the stretching effect of the midplane of the size dependent beam was considered, and the governing equations and boundary conditions were derived by employing the Hamilton principle.
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