ASYMPTOTIC ANALYSIS OF FRICTIONAL CONTACT PROBLEM FOR PIEZOELECTRIC SHALLOW SHELL

被引：3
|
作者：
Mezabia, M. E. [1 ]
Ghezal, A. [2 ]
Chacha, D. A. [2 ]
机构：
[1] Univ Mohamed Khider, BP 145 RP, Biskra 07000, Algeria
[2] Univ Kasdi Merbah Ouargla, Lab Math Appl, BP 511, Ouargla 30000, Algeria
来源：
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 2019年 / 72卷 / 04期
关键词：
MATHEMATICAL JUSTIFICATION; OBSTACLE PROBLEM;
D O I：
10.1093/qjmam/hbz014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this work is to study the asymptotic justification of a new two-dimensional model for the equilibrium state of a piezoelectric linear shallow shell in frictional contact with a rigid foundation. More precisely, we consider the Signorini problem with Tresca friction of a piezoelectric linear shallow shell in contact with a rigid foundation. Then, we establish the convergence of the mechanical displacement and the electric potential as the thickness of the shallow shell goes to zero.
引用
收藏
页码：473 / 499
页数：27
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