Results 11 to 20 of about 145,099 (296)
Poincaré path integrals for elasticity [PDF]
Journal de Mathématiques Pures et Appliquées, 2020 revised ...
Christiansen, Snorre H +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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Dynamics of Stress-Driven Two-Phase Elastic Beams
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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Structural Mechanics of Engineering Constructions and Buildings, 2023 A systematic presentation of the modified classical semi-inverse SaintVenant method as an iterative one is given on the example of generating a solution to the differential equations of elasticity theory for a long layered strip.
Evgeny M. Zveryaev +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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Boundary Integral Equations for Isotropic Linear Elasticity
Journal of Computational Mathematics, 2022 36 ...
Stamm, Benjamin, Xiang, Shuyang
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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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Fractional Gradient Elasticity from Spatial Dispersion Law [PDF]
, 2014 Non-local elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak non-locality) and the integral non-local models (strong non-locality).
Tarasov, Vasily E.
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A symplectic integration method for elastic filaments [PDF]
The Journal of Chemical Physics, 2009 A new method is proposed for integrating the equations of motion of an elastic filament. In the standard finite-difference and finite-element formulations the continuum equations of motion are discretized in space and time, but it is then difficult to ensure that the Hamiltonian structure of the exact equations is preserved.
Ladd, Anthony JC, Misra, Gaurav
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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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