Modulated Linear Dynamics of Functionally Graded Nanobeams With Nonlocal and Gradient Elasticity

Barretta, Raffaele; Fabbrocino, Francesco; Sciarra, Francesco Marotti de; Morabito, Francesco Giuseppe; Ruta, Giuseppe

doi:10.1016/b978-0-323-48061-1.00009-9

Cited by 2 publications

(2 citation statements)

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“…Lattice-based nonlocal models, Eringen's nonlocal models, gradient theory of elasticity, strain-and stress-driven nonlocal models, and peridynamic theory are some of the most widely known and accepted GCTs. 4,5 In the context of the stress-driven nonlocal model (SDM), that is the GCT employed in the present research work, it has been successfully applied to solve numerous engineering problems, such as static bending behavior, [6][7][8][9][10][11] buckling, 12,13 and free transverse vibrations [14][15][16][17][18] of nanobeams. It is important to highlight that the above cited papers refer to intact nanobeams.…”

Section: Introductionmentioning

confidence: 99%

“…In the context of the stress‐driven nonlocal model (SDM), that is the GCT employed in the present research work, it has been successfully applied to solve numerous engineering problems, such as static bending behavior, 6–11 buckling, 12,13 and free transverse vibrations 14–18 of nanobeams. It is important to highlight that the above cited papers refer to intact nanobeams.…”

Section: Introductionmentioning

confidence: 99%

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Nonlocal analysis of edge‐cracked nanobeams under Mode I and Mixed‐Mode (I + II) static loading

Scorza

Caporale

Vantadori

2023

Fatigue Fract Eng Mat Struct

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In the present paper, the behavior of an edge‐cracked nanobeam under both Mode I and Mixed‐Mode (I + II) static bending loading is analyzed by using the stress‐driven nonlocal model (SDM), being the SDM applied for the first time in the case of Mixed‐Mode loading. More precisely, the cracked nanobeam is modeled by using a modification of the classical cracked‐beam theory, consisting in dividing the beam into two beam segments connected through a massless elastic rotational spring located at the cracked cross section. The bending stiffness of the cracked cross section is computed by exploiting: the Griffith energy criterion and the conventional linear elastic fracture mechanics. Cracks under both Mode I and Mixed‐Mode (I + II) loading are considered. Finally, an edge‐cracked cantilever nanobeam subjected to a transversal point load at the free end is analyzed. The static deflection is calculated and discussed for different values of relative crack depth, crack location, and crack orientation.

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