Factorization of Equilibrium Equation in Toupin-Mindlin Strain-Gradient Elasticity in Quaternion Analysis

被引：0
|
作者：
Dinh, Doan Cong [1 ]
机构：
[1] Hanoi Univ Sci & Technol, Fac Math & Informat, Hanoi, Vietnam
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 05期
关键词：
Strain gradient elasticity; Integral representation; Quaternion analysis; INFRAMONOGENIC FUNCTIONS; LINEAR-OPERATORS;
D O I：
10.1007/s11785-024-01557-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a factorization of the equilibrium equation in the theory of Toupin-Mindlin strain-gradient elasticity in the framework of quaternion analysis by using the inframonogenic operator Fu = DuD and the Dirac operator of mixed sides D(a)u = cos a Du + sin au D, where D is the Dirac operator in R-3. We construct some integral representation formulae for the displacement fields. In application, we obtain a decomposition formula of the displacement fields.
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页数：20
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