Asymptotic analysis of problems in junctions of domains of different limit dimension. An elastic body pierced by thin rods

被引：0

作者：

Agratov I.I. ^{[1
]}

Nazarov S.A. ^{[1
]}

机构：

来源：

Journal of Mathematical Sciences | 2000年 / 102卷 / 5期

关键词：

Asymptotic Expansion; Asymptotic Solution; Asymptotic Formula; Dirichlet Condition; Hardy Inequality;

D O I：

10.1007/BF02672896

中图分类号：

学科分类号：

摘要：

The leader term of an asymptotic expansion of a solution to the problem of elasticity about a body pierced by several parallel rods is considered. The role of parameters is played by the diameters (small parameters) of the rods and the ratios (large parameters) of the rigidity of the material of the rods to that of the body. The influence of the body on the rods and interactions between the rods are studied. The asymptotic formulas are justified by means of a special (weighted) Korn inequality. ©2000 Kluwer Academic/Plenum Publishers.

引用

页码：4349 / 4387

页数：38

共 16 条

[11] Asymptotic and numerical analysis for unilateral contact problem with Coulomb's friction between an elastic body and a thin elastic soft layer
Bayada, G
Lhalouani, K
ASYMPTOTIC ANALYSIS, 2001, 25 (3-4) : 329 - 362
[12] ASYMPTOTIC ANALYSIS OF POISSON EQUATION IN A THIN DOMAIN - APPLICATION TO THIN-WALLED ELASTIC BEAMS TORSION THEORY .2. DOMAIN WITH JUNCTIONS
RODRIGUEZ, JM
VIANO, JM
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 317 (06): : 637 - 642
[13] T-COERCIVITY FOR THE ASYMPTOTIC ANALYSIS OF SCALAR PROBLEMS WITH SIGN-CHANGING COEFFICIENTS IN THIN PERIODIC DOMAINS
Bunoiu, Renata
Ramdani, Karim
Timofte, Claudia
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021,
[14] ASYMPTOTIC ANALYSIS OF POISSON EQUATION IN A THIN DOMAIN - APPLICATION TO THIN-WALLED ELASTIC BEAMS TORSION THEORY .1. DOMAIN WITHOUT JUNCTIONS
RODRIGUEZ, JM
VIANO, JM
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 317 (04): : 423 - 428
[15] Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions
Mel'nik, T. A.
Popov, A. V.
SBORNIK MATHEMATICS, 2012, 203 (08) : 1169 - 1195
[16] THE INTEGRAL YIELD CRITERION OF FINITE-ELEMENTS AND ITS APPLICATION TO LIMIT ANALYSIS AND OPTIMIZATION PROBLEMS OF THIN-WALLED ELASTIC-PLASTIC STRUCTURES
KACIANAUSKAS, R
CYRAS, A
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 67 (02) : 131 - 147

← 1 2 →