Curved and Layered Structures, 2017 The structural symmetry and the appropriate definition of a reduced (symmetric) mechanical/ numerical model is discussed within a nonlocal elasticity context. In particular, reference is made to an integral model of Eringen-type. The paper highlights how
Pisano Aurora Angela, Fuschi Paolo
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Dynamics of Stress-Driven Two-Phase Elastic Beams [PDF]
Nanomaterials, 2021 The dynamic behaviour of micro- and nano-beams is investigated by the nonlocal continuum mechanics, a computationally convenient approach with respect to atomistic strategies.
Marzia Sara Vaccaro +3 more
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Elastostatics of Bernoulli–Euler Beams Resting on Displacement-Driven Nonlocal Foundation [PDF]
Nanomaterials, 2021 The simplest elasticity model of the foundation underlying a slender beam under flexure was conceived by Winkler, requiring local proportionality between soil reactions and beam deflection.
Marzia Sara Vaccaro +3 more
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Dynamic Behavior of Magnetically Affected Rod-Like Nanostructures with Multiple Defects via Nonlocal-Integral/Differential-Based Models [PDF]
Nanomaterials, 2020 Through considering both nonlocality and surface energy effects, this paper suggests suitable mathematical-continuum-based models for free vibration of nanorods with multiple defects acted upon by a bidirectional-transverse magnetic field.
Keivan Kiani, Krzysztof Kamil Żur
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Nonlinear flexure mechanics of beams: stress gradient and nonlocal integral theory
Materials Research Express, 2021 In order to study the intrinsic size-effects, the stress gradient theory is implemented to a nano-scale beam model in nonlinear flexure. The nonlocal integral elasticity model is considered as a suitable counterpart to examine the softening behavior of ...
Mahdad Fazlali +2 more
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Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements
Encyclopedia, 2023 Recent developments in modeling and analysis of nanostructures are illustrated and discussed in this paper. Starting with the early theories of nonlocal elastic continua, a thorough investigation of continuum nano-mechanics is provided.
Raffaele Barretta +2 more
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Axial and Torsional Free Vibrations of Elastic Nano-Beams by Stress-Driven Two-Phase Elasticity [PDF]
Journal of Applied and Computational Mechanics, 2019 Size-dependent longitudinal and torsional vibrations of nano-beams are examined by two-phase mixture integral elasticity. A new and efficient elastodynamic model is conceived by convexly combining the local phase with strain- and stress-driven purely ...
Andrea Apuzzo +5 more
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Closed-Form Solution of the Bending Two-Phase Integral Model of Euler-Bernoulli Nanobeams
Algorithms, 2022 Recent developments have shown that the widely used simplified differential model of Eringen’s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the pure integral model and the two ...
Efthimios Providas
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Some Applications of the Wright Function in Continuum Physics: A Survey
Mathematics, 2021 The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag–Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function
Yuriy Povstenko
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Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]
, 2009 We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay +3 more
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