Journal of Engineering Mathematics, Год журнала: 2024, Номер 146(1)
Опубликована: Июнь 1, 2024
Язык: Английский
International Journal of Engineering Science, Год журнала: 2024, Номер 198, С. 104042 - 104042
Опубликована: Фев. 20, 2024
Nonlocal continuum mechanics presents still open questions about applicability of integral constitutive theories to nanostructures current interest in Engineering Science. Nevertheless, nonlocal elasticity is widely exploited model size effects small-scale structures since it represents an effective tool avoid computationally expensive procedures. The known strain-driven approach proposed by Eringen has shown intrinsic incompatibility between and equilibrium requirements when applied structures. Such issue been acknowledged the scientific community merely for bounded continua. For structural problems defined unbounded domains, obstruction caused formulation a issue. present contribution definitely proves inapplicability spatial convolution proposes consistent both presented methodology based on stress-driven convolutions, representing key paradigm formulate well-posed theory effectively scale nanobeams applicative Nano-Mechanics.
Язык: Английский
Процитировано
23
International Journal of Engineering Science, Год журнала: 2025, Номер 209, С. 104222 - 104222
Опубликована: Фев. 11, 2025
Процитировано
3
International Journal of Engineering Science, Год журнала: 2023, Номер 193, С. 103962 - 103962
Опубликована: Сен. 22, 2023
Язык: Английский
Процитировано
30
International Journal of Engineering Science, Год журнала: 2024, Номер 196, С. 104014 - 104014
Опубликована: Янв. 6, 2024
Wave propagation in Rayleigh nanobeams resting on nonlocal media is investigated this paper. Small-scale structure-foundation problems are formulated according to a novel consistent approach extending the special elastostatic analysis Barretta et al. (2022). Nonlocal effects of nanostructure modelled stress-driven integral law. External elasticity nano-foundation instead described by displacement-driven spatial convolution. The developed methodology leads well-posed continuum problems, thus circumventing issues and applicative difficulties Eringen–Wieghardt approach. interacting with nano-foundations then analysed dispersive features analytically detected exploiting strategy. Closed form expressions size-dependent dispersion relations established connection outcomes available literature contributed. A general provided address wave nanomechanical problems. Parametric studies finally accomplished discussed show length scale parameters characteristics small-scale systems current interest Nano-Engineering.
Язык: Английский
Процитировано
12
International Journal of Engineering Science, Год журнала: 2023, Номер 191, С. 103918 - 103918
Опубликована: Июль 2, 2023
Язык: Английский
Процитировано
18
Composite Structures, Год журнала: 2024, Номер 340, С. 118146 - 118146
Опубликована: Апрель 24, 2024
A plethora of challenging nanomechanical applications deals with ultrasmall composite structures interacting nonlocal media. To capture size dependent behaviors, effective tools Nonlocal Continuum Mechanics can be conveniently adopted, provided that the relevant structural problem is well-posed. crucial improvement in modeling nanobeams on nanofoundations present work respect to formulation based Eringen–Wieghardt approach. Scale effects FG under torsion are effectively captured by exploiting consistent stress-driven integral theory elasticity. novel elastic foundations here introduced. Notably, constitutive behavior describing interaction between twisted and surrounding media modeled spatial convolution driven torsional rotation field. It shown governing mathematically represented an integro-differential formulation. An equivalent simpler differential then proven reduce computational burdens. Exemplar case-studies finally examined show efficacy developed methodology.
Язык: Английский
Процитировано
9
Mechanics of Advanced Materials and Structures, Год журнала: 2023, Номер unknown, С. 1 - 9
Опубликована: Дек. 7, 2023
A surface stress-driven nonlocal model is employed in this manuscript to study the coupled effects of long-range interaction and energy on free vibrations nano-beams made metal-ceramic functionally graded material. The nanobeam theory formulated based Bernoulli-Euler kinematics include elasticity, residual stresses, density rotary inertia. Hamilton's principle applied derive size-dependent governing equation. main results a parametric investigation, carried out considering four different kinematic boundary conditions, i.e. Cantilever, Simply-Supported, Clamped-Pinned Doubly-Clamped, are also presented discussed, varying parameter material gradient index. show how proposed able capture overall dynamic behavior nanobeams provides cost-effective method for design optimization nano-scaled structures.
Язык: Английский
Процитировано
16
Nanomaterials, Год журнала: 2024, Номер 14(4), С. 350 - 350
Опубликована: Фев. 12, 2024
This paper employs a surface stress-driven nonlocal theory to investigate the synergistic impact of long-range interaction and energy on higher vibration modes Bernoulli–Euler nanobeams made functionally graded material. It takes into account effects such as modulus elasticity, residual stresses, density, rotary inertia. The governing equation is derived through application Hamilton’s principle. novelty this work lies in its pioneering approach studying higher-order vibrations, carefully considering combination interactions materials well-posed mathematical model elasticity. study conducts parametric investigation, examining parameter material gradient index for four static schemes: Cantilever, Simply-Supported, Clamped-Pinned Clamped-Clamped nanobeams. outcomes are presented discussed, highlighting normalized natural frequencies second fifth each case under study. In particular, illustrates central role dynamic response nanobeams, emphasizing importance them. Furthermore, analysis reveals that influenced by combined parameter, index, shapes cross-sections considered, well scheme analyzed.
Язык: Английский
Процитировано
6
Frontiers in Materials, Год журнала: 2024, Номер 11
Опубликована: Март 1, 2024
In this research, free vibration characteristics of functionally graded metal foam doubly curved panels reinforced with graphene platelets and porosities have been surveyed. Halpin Tsai's approach is utilized for extracting the effective Young modulus porous nanocomposite also density shell panel estimated by using an extended rule mixture. The FSDT hypothesis determining displacement field Finite element Hamilton principle are deriving mass stiffness matrices structure. Finally, influences several variables such as porosity distribution, coefficient, GPL dispersion pattern, weight fraction Nanofillers, span angles on vibrations FG platelet reported in detail.
Язык: Английский
Процитировано
6
Mechanics of Advanced Materials and Structures, Год журнала: 2023, Номер 31(27), С. 9260 - 9269
Опубликована: Окт. 30, 2023
The bending response of functionally graded (FG) nanobeams under hygrothermal loading was investigated to emphasize the different scenarios that arise when using simplified and original boundary conditions. governing equations were derived by principle virtual work on basis local/nonlocal stress gradient theory elasticity. A Wolfram language code in Mathematica written authors develop a numerical investigation for values material index, length parameter, nonlocal considering two distinct types thermal loading, is, uniform temperature rise heat conduction across thickness FG nanobeam cross-section.
Язык: Английский
Процитировано
12