On application of asymptotic averaging method in nonlinear elasticity

被引：0

作者：

Akinola, A ^{[1
]}

机构：

[1] Obafemi Awolowo Univ, Dept Math, Ile Ife, Nigeria

来源：

DISCOVERY AND INNOVATION | 1998年 / 10卷 / 1-2期

关键词：

D O I：

暂无

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：

We recall the concept of compensated compactness based on the property of lower semicontinuity of operators and highlight the applicability of the asymptotic averaging method of homogenization in nonlinear elasticity. Identifying suitable energy function we give the explicit expression for the effective characteristics, up to the second level of homogenization and note the type of anisotropy incured at that level.

引用

页码：82 / 87

页数：6

共 50 条

[1] Optimal homotopy asymptotic method for solving a nonlinear problem in elasticity
Ene, R. -D.
Marinca, V.
Negrea, R.
Caruntu, B.
[J]. 14TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2012), 2012, : 98 - 102
[2] METHOD OF AVERAGING IN THE THEORY OF ELASTICITY OF COMPOSITES
VANIN, GA
[J]. SOVIET APPLIED MECHANICS, 1984, 20 (12): : 1121 - 1126
[3] ESTIMATE FOR SMALL PARAMETER IN ASYMPTOTIC ANALYSIS OF NONLINEAR-SYSTEMS BY METHOD OF AVERAGING
SCHAPIRO, SM
SETHNA, PR
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1977, 12 (03) : 127 - 140
[4] NONLINEAR RESONANT OSCILLATIONS IN CLOSED TUBES - AN APPLICATION OF THE AVERAGING METHOD
OCHMANN, M
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1985, 77 (01): : 61 - 66
[5] NONLINEAR RESONANT OSCILLATIONS IN CLOSED TUBES - AN APPLICATION OF THE AVERAGING METHOD
OCHMANN, M
[J]. FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, 1986, 52 (01): : 8 - 8
[6] THE APPLICATION OF THE ASYMPTOTIC METHOD TO A CLASS OF STRONGLY NONLINEAR SYSTEMS
谢柳辉
[J]. Applied Mathematics and Mechanics(English Edition), 1993, (09) : 867 - 872
[7] Asymptotic analysis of a bonded joint in nonlinear elasticity
Krasucki, F
Münch, A
Ousset, Y
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE, 2001, 329 (06): : 429 - 434
[8] Asymptotic decomposition method as development of Bogoliubov averaging method
Mitropolsky, YA
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (08) : 5203 - 5210
[9] APPLICATION OF ASYMPTOTIC METHOD TO RESEARCH OF A CLASS OF NONLINEAR OSCILLATORY SYSTEMS
RUBANIK, VP
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1974, (01): : 49 - 52
[10] An improved energy envelope stochastic averaging method and its application to a nonlinear oscillator
Zhao, Yaping
[J]. JOURNAL OF VIBRATION AND CONTROL, 2017, 23 (01) : 119 - 130

← 1 2 3 4 5 →