نتایج جستجو برای: nonlocal strain gradient elasticity

تعداد نتایج: 375457  

Journal: :Composite Structures 2021

In this article, the Second Strain Gradient (SSG) theory proposed by Mindlin is used within a Wave Finite Element Method (WFEM) framework for dynamic analysis of one-dimensional Euler–Bernoulli bending beam and torsional bar. Firstly, strong forms continuum models including governing equations boundary conditions torsion cases, respectively, are derived using Hamilton’s principle. New “non-loca...

Journal: :Communications in Mathematical Sciences 2021

We prove that the isotropic Landau equation equipped with Coulomb potential introduced by Krieger-Strain and Gualdani-Guillen can be identified gradient flow of entropy in probability space respect to a Riemannian metric tensor nonlocal mobility. give characterizations corresponding geodesics equations present convergence rate result estimating its Hessian operator.

In this paper, the dynamic response of resonating nano-beams is investigated using a strain gradient elasticity theory. A nonlinear model is obtained based on the Galerkin decomposition method to find the dynamic response of the investigated beam around its statically deflected position. The mid-plane stretching, axial residual stress and nonlinear interaction due to the electrostatic force on ...

Journal: :Communications in Nonlinear Science and Numerical Simulation 2020

Journal: :Applied Mathematics and Mechanics-english Edition 2022

Abstract We have proposed an “exact” strain gradient (SG) continuum model to properly predict the dispersive characteristics of diatomic lattice metamaterials with local and nonlocal interactions. The key enhancement is proposing a wavelength-dependent Taylor expansion obtain satisfactory accuracy when wavelength gets close spacing. Such applied displacement field lattice, resulting in novel SG...

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