HIERARCHICAL MODELING OF THERMOELASTIC PLATES WITH VARIABLE THICKNESS

Author:

AVALISHVILI G.1,AVALISHVILI M.2,GORDEZIANI D.1,MIARA B.3

Affiliation:

1. Faculty of Exact and Natural Sciences, Iv. Javakhishvili Tbilisi State University, 3 I. Chavchavadze Av., Tbilisi, 0179, Georgia

2. Faculty of Mathematics and Information Technologies, University of Georgia, 77a M. Kostava Str., Tbilisi, 0175, Georgia

3. Laboratoire de Modélisation et Simulation, Numérique École Supérieure d'Ingénieurs, en Électrotechnique et Électronique, Cité Descartes, 2 Boulevard Blaise Pascal, 93160, Noisy-le-Grand Cedex, France

Abstract

The present paper is devoted to the construction and investigation of hierarchies of two-dimensional models for thermoelastic plates with variable thickness which may vanish on some part of the boundary. The hierarchical models are obtained by a semidiscretization of the three-dimensional problem in the transverse direction of plate. In suitable weighted Sobolev spaces, we prove existence and uniqueness of solutions of the initial-boundary value problems corresponding to the obtained two-dimensional models of thermoelastic plate with variable thickness. Moreover, we prove convergence in the corresponding spaces of the sequence of approximate solutions restored from the solutions of the reduced problems to the solution of the original three-dimensional problem and estimate the rate of convergence.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A survey of results on cusped standard and prismatic shells, in particular plates, and bars and on the corresponding singular PDEs;Continuum Mechanics and Thermodynamics;2021-01-07

2. On Static Two-dimensional Models of Thermo-Electro-Magneto-Elastic Shells;Analysis of Shells, Plates, and Beams;2020

3. Life and Activities of David Gordeziani;Springer Proceedings in Mathematics & Statistics;2019

4. Hierarchical modeling and its numerical implementation for layered thin elastic structures;Journal of Mechanical Science and Technology;2017-05

5. Differential hierarchical models for elastic prismatic shells with microtemperatures;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2013-09-24

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3