A FINITE ELEMENT FOR NONLOCAL ELASTIC ANALYSES

被引:0
作者
de Sciarra, Francesco Marotti [1 ]
机构
[1] Univ Naples Federico II, Dept Struct Engn, I-80125 Naples, Italy
来源
COMPUTATIONAL METHODS FOR COUPLED PROBLEMS IN SCIENCE AND ENGINEERING IV | 2011年
关键词
Nonlocal elasticity; Regularization; Nonlocal finite element method;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A nonlocal elastic behaviour of integral type is modeled assuming that the nonlocality lies in the constitutive relation. The diffusion processes of the nonlocality are governed by an integral relation containing a recently proposed symmetric spatial weight function expressed in terms of an attenuation function. Starting from the variational formulation associated with the structural boundary-value problem in the context of nonlocal elasticity, a nonlocal finite element model is proposed and a 1D example is proposed.
引用
收藏
页码:496 / 505
页数:10
相关论文
共 50 条
  • [1] Variational formulations and a consistent finite-element procedure for a class of nonlocal elastic continua
    de Sciarra, Francesco Marotti
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2008, 45 (14-15) : 4184 - 4202
  • [2] Wave propagation in graphene sheets with nonlocal elastic theory via finite element formulation
    Arash, B.
    Wang, Q.
    Liew, K. M.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 223 : 1 - 9
  • [3] Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates
    Phadikar, J. K.
    Pradhan, S. C.
    COMPUTATIONAL MATERIALS SCIENCE, 2010, 49 (03) : 492 - 499
  • [4] Finite element modelling of nonlocal beams
    de Sciarra, Francesco Marotti
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2014, 59 : 144 - 149
  • [5] Free vibration analysis Silicon nanowires surrounded by elastic matrix by nonlocal finite element method
    Uzun, Busra
    Civalek, Omer
    ADVANCES IN NANO RESEARCH, 2019, 7 (02) : 99 - 108
  • [6] Elastic buckling and vibration analyses of orthotropic nanoplates using nonlocal continuum mechanics and spline finite strip method
    Analooei, H. R.
    Azhari, M.
    Heidarpour, A.
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (10-11) : 6703 - 6717
  • [7] On Nonlocal Computation of Eigenfrequencies of Beams Using Finite Difference and Finite Element Methods
    Challamel, Noel
    Picandet, Vincent
    Elishakoff, Issac
    Wang, Chien Ming
    Collet, Bernard
    Michelitsch, Thomas
    INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2015, 15 (07)
  • [8] Buckling Analysis of Nonlocal Nanocolumns Using Finite Element Method
    Prasertsri, Tosporn
    Intratanoo, Suppawit
    Jirajaran, Thunyamas
    Phongtinnaboot, Weeraporn
    Rungamornrat, Jaroon
    ENGINEERING JOURNAL-THAILAND, 2022, 26 (10): : 73 - 83
  • [9] Elastic stability of curved nanobeam based on higher-order shear deformation theory and nonlocal analysis by finite element approach
    Polit, O.
    Merzouki, T.
    Ganapathi, M.
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2018, 146 : 1 - 15
  • [10] Spectral Finite Element Formulation for Nanorods via Nonlocal Continuum Mechanics
    Narendar, S.
    Gopalakrishnan, S.
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2011, 78 (06):