نتایج جستجو برای: Nonlocal integral elasticity

تعداد نتایج: 151180  

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 nonlocal phases. The proposed stress-driven nonlocal integral mixture leads to well-posed structural problems for any value of the scale parameter...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2002
Qi Wang Weinan E Chun Liu Pingwen Zhang

The Doi kinetic theory for flows of homogeneous, rodlike liquid crystalline polymers (LCPs) is extended to model flows of nonhomogeneous, rodlike LCPs through a nonlocal (long-range) intermolecular potential. The theory features (i) a nonlocal, anisotropic, effective intermolecular potential in an integral form that is consistent with the chemical potential, (ii) short-range elasticity as well ...

Journal: :International Journal of Solids and Structures 2009

Journal: :European Journal of Mechanics A-solids 2023

The paper is concerned with comparative analysis of differential and integral formulations for boundary value problems in nonlocal elasticity. For the sake simplicity, focus on an antiplane problem a half-space prescribed shear stress along surface. In addition, 1D exponential kernel depending vertical coordinate considered. First, surface loading form travelling harmonic wave studied. This pro...

2014
Jurij Novickij Artūras Štikonas

Nonlocal problems is a major research area in many branches of modern physics, biotechnology, chemistry and engineering, which arises when it is impossible to determine the boundary values of unknown function and its derivatives. Increasingly often, there arise problems with nonlocal integral boundary conditions, especially in particle diffusion [1] and heat conduction [2, 3]. Partial different...

Journal: :International Journal of Solids and Structures 2013

R Pilafkan, S.F Asbaghian Namin

This paper addresses the influence of boundary conditions and small-scale effect on the free vibration of nano-plates using molecular dynamics (MD) and nonlocal elasticity theory. Based on the MD simulations, Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) is used to obtain fundamental frequencies of single layered graphene sheets (SLGSs) which modeled in this paper as the mo...

Journal: :international journal of nano dimension 0
a. tourki samaei young researchers club, chalous branch, islamic azad university, chalous, iran. sh. hosseini hashemi school of mechanical engineering, iran university of science and technology, tehran 16844, iran.

this paper proposed analytical solutions for the buckling analysis of rectangular single-layered graphene sheets under in-plane loading on all edges simply is supported. the characteristic equations of the graphene sheets are derived and the analysis formula is based on the nonlocal mindlin plate. this theory is considering both the small length scale effects and transverse shear deformation ef...

2009
N Duruk H A Erbay

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 nonnegative. We show that some well-known examples of nonlinear wave equations, such as Boussinesq-type equations, follow from the present model for...

Journal: :international journal of nano dimension 0
t. j. prasanna kumar department of aerospace engineering, pvp siddartha engineering college, vijayawada 520 007, india. s. narendar defence research and development laboratory, kanchanbagh, hyderabad 500 058, india. b. l. v. s. gupta department of aerospace engineering, pvp siddartha engineering college, vijayawada 520 007, india. s. gopalakrishnan 4computational wave mechanics laboratory, department of aerospace engineering, indian institute of science, bangalore 560 012, india.

this paper presents the thermal vibration analysis of double-layer graphene sheet embedded in polymer elastic medium, using the plate theory and nonlocal continuum mechanics for small scale effects. the graphene is modeled based on continuum plate theory and the axial stress caused by the thermal effects is also considered. nonlocal governing equations of motion for this double-layer graphene s...

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