Method of modelling nonlinear bearing stiffness of composite laminates plates in the area of installation of the fastener for static strength analysis

Аuthors

Arkhipov P. A.

,

e-mail: p.a.arkhipov@yandex.ru

Abstract

The article considers methods for modeling fasteners in finite element models developed for static strength analysis. It presents a method for modeling nonlinear bearing stiffness of composite laminates (balanced and symmetric) plates in the area of fastener installation for solving static strength problems. 
Two CBUSH elements (in terms of the MSC.NASTRAN software package) are used to model the bearing stiffness of composite laminates plates:
1.    Element CBUSH №1 model linear bearing stiffness;
2.    Element CBUSH №2 model nonlinear bearing stiffness, which obtained from results of testing according to ASTM D5961. 
The algorithm for calculation linear bearing stiffness for element CBUSH element №1 consists of three consecutive steps: 
1.    Calculation the linear bearing stiffness for a typical finite element model of a plate and a bolt using three-dimensional finite elements; 
2.    Calculation the linear bearing stiffness for a finite element model of a plate, corresponding to a typical modeling zone of a fastener of the finite element model of the part; 
3.    Calculating linear bearing stiffness for element CBUSH №1 as the difference between the linear bearing stiffness, which obtained from finite element model with three-dimensional elements, and the linear bearing stiffness, which obtained using a finite element model of a typical zone of a fastener in the finite element model of the part. 
Element CBUSH №2 uses a displacement-force graph that is developed from the results of testing the plate material according to ASTM D 5961.
It presents the calculation of the test task with the presentation of the results with the existing version of modeling fasteners and its modification according to the presented method. 
The presented approach allows for a reasonable calculation of the loads on the fasteners of a multi-bolt connection and the fasteners of non-load-bearing elements to load-bearing elements of the structure under loads close to the ultimate according to the criterion of bearing under the fastener.

Keywords:

fastener; finite element model; bearing stiffness; composite laminate plate

References

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