Asymptotic Behavior of Constrained Local Minimizers in Finite Elasticity

被引：1

作者：

Mainini, Edoardo ^{[1
]}

Ognibene, Roberto ^{[2
]}

Percivale, Danilo ^{[1
]}

机构：

[1] Univ Genoa, Dipartimento Ingn Meccan Energet Gest & Trasporti, Via Opera Pia 15, I-16145 Genoa, Italy

[2] Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

来源：

JOURNAL OF ELASTICITY | 2022年 / 152卷 / 1-2期

关键词：

Calculus of variations; Linear elasticity; Finite elasticity; Traction problem; Gamma-convergence; Equilibrium equations; Constrained minimizers; NONLINEAR ELASTICITY; LINEAR ELASTICITY; EXISTENCE; LINEARIZATION; BIFURCATION; SYMMETRY; THEOREM; LIMIT;

D O I：

10.1007/s10659-022-09946-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We provide an approximation result for the pure traction problem of linearized elasticity in terms of local minimizers of finite elasticity, under the constraint of vanishing average curl for admissible deformation maps. When suitable rotations are included in the constraint, the limit is shown to be the linear elastic equilibrium associated to rotated loads.

引用

页码：1 / 27

页数：27

共 50 条

[21] On the occurrence of intermediate local minimizers that are not strong local minimizers
Vinter, RB
Woodford, PD
SYSTEMS & CONTROL LETTERS, 1997, 31 (04) : 235 - 242
[22] Local minimizers versus X-local minimizers
Khan, Akhtar A.
Motreanu, Dumitru
OPTIMIZATION LETTERS, 2013, 7 (05) : 1027 - 1033
[23] Local minimizers versus X-local minimizers
Akhtar A. Khan
Dumitru Motreanu
Optimization Letters, 2013, 7 : 1027 - 1033
[24] FINITE-ELEMENT METHODS FOR CONSTRAINED PROBLEMS IN ELASTICITY
ODEN, JT
KIKUCHI, N
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1982, 18 (05) : 701 - 725
[25] Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy
Adami, Riccardo
Cacciapuoti, Claudio
Finco, Domenico
Noja, Diego
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (10) : 7397 - 7415
[26] Existence of minimizers and microstructure in nonlinear elasticity
Li, ZP
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (03) : 297 - 308
[27] AN ASYMPTOTIC APPROACH TO THE PROBLEMS OF THE THEORY OF ELASTICITY OF BODIES OF FINITE DIMENSIONS
ROMENSKAYA, GI
SUMBATYAN, MA
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1984, 48 (05): : 585 - 589
[28] An improved coupled local minimizers technique for finite element model updating
Liu, Y.
Duan, Z. D.
STRUCTURAL HEALTH MONITORING AND INTELLIGENT INFRASTRUCTURE, VOLS 1 AND 2, 2006, : 1215 - 1222
[29] Asymptotic behavior for minimizers of a Ginzburg-Landau-type functional in higher dimensions
Liu, ZH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (02) : 153 - 167
[30] Asymptotic behavior of regularizable minimizers of a Ginzburg-Landau functional in higher dimensions
Lei, Yutian
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,

← 1 2 3 4 5 →