Fractional continua for linear elasticity

被引：0
|
作者：
Sumelka, W. [1 ]
Blaszczyk, T. [2 ]
机构：
[1] Poznan Univ Tech, Inst Struct Engn, PL-60969 Poznan, Poland
[2] Czestochowa Tech Univ, Inst Math, PL-42201 Czestochowa, Poland
来源：
ARCHIVES OF MECHANICS | 2014年 / 66卷 / 03期
关键词：
non-local models; fractional calculus; CALCULUS; MECHANICS; MODELS;
D O I：
暂无
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
FRACTIONAL CONTINUA IS A GENERALISATION of the classical continuum body. This new concept shows the application of fractional calculus in continuum mechanics. The advantage is that the obtained description is non-local. This natural non-locality is inherently a consequence of fractional derivative definition which is based on the interval, thus variates from the classical approach where the definition is given in a point. In the paper, the application of fractional continua to one-dimensional problem of linear elasticity under small deformation assumption is presented.
引用
收藏
页码：147 / 172
页数：26
相关论文
共 50 条
  • [21] Boundary element formulations for linear poroelastodynamic continua
    Schanz, M
    Pryl, D
    ANALYSIS AND SIMULATION OF MULTIFIELD PROBLEMS, 2003, 12 : 323 - 328
  • [22] The finite element analysis of a fractional-step method for the time-dependent linear elasticity equations
    Ma, Changfeng
    Wang, Desheng
    Wang, Yu
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 1210 - 1219
  • [23] Boundary Element Formulations for Linear Poroelastodynamic Continua
    Schanz, Martin
    Pry, Dobromil
    Lecture Notes in Applied and Computational Mechanics, 2003, 12 : 323 - 328
  • [24] INTEGER DIFFERENTIAL MODELS IN LINEAR ELECTRODYNAMICS OF CONTINUA
    BOULANGER, P
    MAYNE, G
    BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE, 1978, 64 (04): : 153 - 168
  • [25] From non-linear elasticity to linear elasticity with initial stress via Γ-convergence
    Paroni, Roberto
    Tomassetti, Giuseppe
    CONTINUUM MECHANICS AND THERMODYNAMICS, 2011, 23 (04) : 347 - 361
  • [26] From non-linear elasticity to linear elasticity with initial stress via Γ-convergence
    Roberto Paroni
    Giuseppe Tomassetti
    Continuum Mechanics and Thermodynamics, 2011, 23 : 347 - 361
  • [27] Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements
    Spanos, Pol D.
    Malara, Giovanni
    X INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (EURODYN 2017), 2017, 199 : 18 - 27
  • [28] RAYLEIGH QUASIMODES IN LINEAR ELASTICITY
    CARDOSO, F
    POPOV, G
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1992, 17 (7-8) : 1327 - 1367
  • [29] Universal displacements in linear elasticity
    Yavari, Arash
    Goodbrake, Christian
    Goriely, Alain
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2020, 135
  • [30] Finite element modeling of micromorphic continua in the context of three-dimensional elasticity
    Faraji Oskouie, M.
    Bazdid-Vahdati, M.
    Ansari, R.
    Rouhi, H.
    CONTINUUM MECHANICS AND THERMODYNAMICS, 2020, 32 (01) : 99 - 110
12345