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Published in 2020 at "Journal of The Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-020-02648-0
Abstract: In the present research, the nonlocal elasticity theory is utilized with the aim of examining nonlinear wave propagation in nanorods, which are embedded in an elastic medium. Constitutive equations on the basis of Eringen’s nonlocal…
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Keywords:
medium;
elasticity theory;
elastic medium;
nonlocal elasticity ... See more keywords
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Published in 2021 at "Physical Review Materials"
DOI: 10.1103/physrevmaterials.5.063602
Abstract: We determine the interaction between an $1/2\ensuremath{\langle}110\ensuremath{\rangle}{\overline{1}10}$ edge dislocation and charged vacancies in MgO, using both molecular static simulations and the elasticity theory developed in the framework of the elastic dipole approach. In this study,…
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Keywords:
elasticity theory;
simulations elasticity;
interaction;
dislocation ... See more keywords
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Published in 2018 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2017-0225
Abstract: Abstract In this study, nonlinear wave modulation in nanorods is examined on the basis of nonlocal elasticity theory. Eringen's nonlocal elasticity theory is employed to derive nonlinear equations for the motion of nanorods. The analysis…
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Keywords:
modulation;
nonlocal elasticity;
nonlinear wave;
elasticity theory ... See more keywords
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Published in 2023 at "Mathematics"
DOI: 10.3390/math11020420
Abstract: This review analyzes articles on mathematical modeling of elasticity theory using iterative factorizations and fictitious components. To carry out this study, various methods are developed, for example, an approximate analytical method of iterative factorizations for…
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Keywords:
iterative factorizations;
factorizations fictitious;
elasticity theory;
mathematical models ... See more keywords
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Published in 2020 at "Micromachines"
DOI: 10.3390/mi11121077
Abstract: Flexoelectric materials have played an increasingly vital role in nanoscale sensors, actuators, and energy harvesters due to their scaling effects. In this paper, the nonlocal effects on flexoelectric nanosensors are considered in order to investigate…
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Keywords:
nonlocal effects;
nonlocal elasticity;
flexoelectric nanosensors;
elasticity theory ... See more keywords