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
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