THE COMPOSITE MECHANICS PACKAGE FOR FYDESIS SOFTWARE

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 nonlinearities, 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.

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