The composite mechanics package for FYDESIS software

S. V. Sheshenin

Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 506-523.

Résumé

According to the recent development of the Computational Mechanics, the future development and competitive ability of finite element analysis software seems to be related with the implementation of complicated physical, mechanical and geometric models of solids and fluids. These are coupled models, problems that include physical and geometric non-linearities, the models or boundary-value problems with small physical or geometric parameters. Thin-walled solids, deformation with large strains and shape distortions, problems coupling solids and fluids supply well-known examples. The modeling of composite materials is another and quite important example nowadays. It begins with solving so-called cell problems and leads to modeling deforming and damaging of composite structural elements as well as to technological problems simulation. The latter type of problems is the problem of a resin with short fibers flow into a mold of complex shape. Another example concerns the process of a resin with long fibers polymerization in a mold followed by the problem of laminate warping. Porous ground and fractured rock are not composites in the commonly used meaning of the term. However, Compositional Mechanics methods are used for their analysis. It is reasonable to mention rather complicated problem of fluid filtration in a porous media experiencing large strains. It seems that a multi scale approach is the most general technique of composite mechanics. It results in so-called local problems in the representative volume element. This paper shows finite-element implementations of local problems developed by the author. Mechanical models and computational algorithms were implemented as home-made computer code. The code has been thoroughly tested and can be used together with FIDESES finite element analysis software as third party package. I may be noted that the developed numerical simulations were elaborated during long term cooperation with the Technical University of Berlin, Dr. Mirtsch GmbH and famous French tire maker Michelin. Further development of the package can be associated with the use of a multi scale approach aiming composite structural elements deformation and progressive damaging modeling, resin with short fibers flow simulation as well as numerical simulation of laminate production process.

Détail

Keywords: asymptotic method of averaging, averaging of plates, Mindlin theory, moment model of rubber cord, nonlinear model of rubber cord, modeling of short fiber composite, cell problems.

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