Thin notched beams

被引：28

作者：

Cabib, E

Freddi, L

Morassi, A

Percivale, D

机构：

[1] Dipartimento Ingn Civile, I-33100 Udine, Italy

[2] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

[3] Dipartimento Metodi & Modelli Matemat, I-16129 Genoa, Italy

来源：

JOURNAL OF ELASTICITY | 2001年 / 64卷 / 2-3期

关键词：

elasticity; variational convergence; dimension reduction;

D O I：

10.1023/A:1015210302849

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The three-dimensional elasticity energy for a notched rod under axial loads is shown to converge in a variational sense to a class of one-dimensional models with a localized compliance when the beam becomes very slender and when the ratio between the depth and the width of each notch vanishes in a suitable way. Also the case of notched thermal conductors is considered, in a parallel treatment, because it falls in a similar but simpler framework.

引用

页码：157 / 178

页数：22

共 15 条

[1] ACERBI E, 1988, J REINE ANGEW MATH, V386, P99
[2] VIBRATION TECHNIQUE FOR NON-DESTRUCTIVELY ASSESSING INTEGRITY OF STRUCTURES
ADAMS, RD
CAWLEY, P
PYE, CJ
STONE, BJ
[J]. JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 1978, 20 (02): : 93 - 100
[3] Anzellotti G., 1994, Asymptotic Analysis, V9, P61
[4] BOUCHITTE G, 1987, ANN U FERRARA, V33, P113
[5] Bouchitte G., 1996, APPL ANAL, V61, P307, DOI [10.1080/00036819608840462, DOI 10.1080/00036819608840462]
[6] FUNCTIONALS DEFINED ON MEASURES AND APPLICATIONS TO NON EQUI-UNIFORMLY ELLIPTIC PROBLEMS
BUTTAZZO, G
FREDDI, L
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1991, 159 : 133 - 149
[7] ONE-DIMENSIONAL THEORY OF CRACKED BERNOULLI-EULER BEAMS
CHRISTIDES, S
BARR, ADS
[J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1984, 26 (11-1) : 639 - 648
[8] Dal Maso G., 1993, INTRO GAMMA CONVERGE
[9] Gustafsson B, 2000, ASYMPTOTIC ANAL, V22, P261
[10] Identification of a crack in a rod based on changes in a pair of natural frequencies
Morassi, A
[J]. JOURNAL OF SOUND AND VIBRATION, 2001, 242 (04) : 577 - 596

← 1 2 →