On plane Λ-fractional linear elasticity theory

被引：0
|
作者：
K.A.Lazopoulos [1 ]
A.K.Lazopoulos [2 ]
机构：
[1] 14 Theatrou Str.
[2] Mathematical Sciences Department, Hellenic Army Academy Vari
来源：
Theoretical & Applied Mechanics Letters | 2020年 / 10 卷 / 04期
关键词：
Plane elasticity problems; Λ-fractional linear elasticity theory; Λ-fractional derivative; Λ-fractional space; Biharmonic function; Fractional beam bending;
D O I：
暂无
中图分类号：
O172 [微积分];
学科分类号：
0701 ; 070101 ;
摘要：
Non-local plane elasticity problems are discussed in the context of Λ-fractional linear elasticity theory. Adapting the Λ-fractional derivative along with the Λ-fractional space, where geometry and mechanics are valid in the conventional way, non-local plane elasticity problems are solved with the help of biharmonic functions. Then, the results are transferred into the initial plane.Applications are presented to homogeneous and the fractional beam bending problem.
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页码：270 / 275
页数：6
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