Analytical and Finite Element Modelling of Circular Glare Plates under Indentation Loading and Unloading

Advanced Composites Letters

Article

George S. Bikakis¹  George J. Tsamasphyros¹ 

[1] Strength of Materials Laboratory, National Technical University of Athens, 9 Iroon Polytechniou, Zographou, GR 157 73, Athens, Greece;

关键词: GLARE;    fibre-metal laminate;    indentation;    FEM;    circular plate;    unloading;    dent;   

DOI  :  10.1177/096369351102000402

 received in 2011-02-05, accepted in 2011-07-28,  发布年份 2011

来源: Sage Journals

【 摘 要 】

In this paper, analytical expressions are derived and a finite element modelling procedure is proposed in order to predict the static load-indentation curves of circular GLARE fibre-metal laminates during loading and unloading by a hemispherical indentor. Analytical formulas have been recently published for the static indentation of circular GLARE plates which are now used during the loading stage. Here, considering that aluminum layers are in a state of membrane yield and employing energy balance during unloading, the unloading path is determined. Using this unloading path, an algebraic equation is derived and solved for calculating the permanent dent depth of the GLARE plate after the indentor's withdrawal. ANSYS software is used and a non-linear analysis is employed with geometric and material non-linearities for FEM calculations. The derived formulas and the proposed finite element modelling procedure are applied to GLARE 2-2/1-0.3 and to GLARE 3-3/2-0.4 circular plates. The analytical results are compared with corresponding FEM results and a good agreement is found. The analytically calculated permanent dent depth is within 6 % for the GLARE 2 plate, and within 7 % for the GLARE 3 plate, of the corresponding numerically calculated result. No other solution of this problem is known to the authors.

【 授权许可】

Unknown   
© 2011 SAGE Publications Ltd

【 图 表 】

Figure 1