On the numerical corroboration of an obstacle problem for linearly elastic flexural shells

被引：0
作者：
Peng, Xin [1 ]
Piersanti, Paolo [2 ,3 ,4 ]
Shen, Xiaoqin [1 ]
机构：
[1] Xian Univ Technol, Sch Sci, Dept Appl Math, POB 1243,Yanxiang Rd 58, Xian 710054, Shaanxi, Peoples R China
[2] Indiana Univ Bloomington, Dept Math, 729 East Third St, Bloomington, IN 47405 USA
[3] Indiana Univ Bloomington, Inst Sci Comp & Appl Math, 729 East Third St, Bloomington, IN 47405 USA
[4] Chinese Univ Hong Kong Shenzhen, Sch Sci & Engn, 2001 Longxiang Blvd, Shenzhen 518172, Peoples R China
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2024年 / 382卷 / 2277期
关键词：
obstacle problems; flexural shell; variational inequalities; penalty method; finite element method; JUSTIFICATION; DISPLACEMENT; MODEL;
D O I：
10.1098/rsta.2023.0306
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this article, we study the numerical corroboration of a variational model governed by a fourth-order elliptic operator that describes the deformation of a linearly elastic flexural shell subjected not to cross a prescribed flat obstacle. The problem under consideration is modelled by means of a set of variational inequalities posed over a non-empty, closed and convex subset of a suitable Sobolev space and is known to admit a unique solution. Qualitative and quantitative numerical experiments corroborating the validity of the model and its asymptotic similarity with Koiter's model are also presented.This article is part of the theme issue 'Non-smooth variational problems with applications in mechanics'.
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页数：14
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