Domain Decomposition of Composite Laminated Plates
J. Kruis and K. Matous
CTU, Fac. of Civil Eng., Dep. of Structural Mechanics
Thákurova, 166 29 Prague 6
Abstract
The refined Mindlin Reissner theory is used to estimate the overall
response of composite plates. The difficulties with the solution of
a system of equations, which emerged in composite analysis, are studied
and a special version of decomposition has been discovered. Similarity
between
the system of equations derived from the layered theory and from the
Finite Element Tearing and Interconnecting method (FETI), suggests a
strategy for implementation of the parallel environment. Several
applications are investigated and a number of interesting numerical
results are presented.
Conclusion
We have presented a model of composite laminated plates and its
discretization. The process combines a natural approach to build the
model from the layers with the solution method that decomposes the
problem in the same way.
To the solution, we have applied a new modification of the basic
FETI method with the orthonormalization of constraints. The results of
the numerical experiments presented in this paper indicate that there
are
problems of practical interest that may be solved using the method
presented. The work in the progress extends this approach to
enhance the decomposition of each layer, the more general boundary
conditions
and the preconditioning by the natural coarse grid as the
generalization of
the approach developed and analyzed in [Farhat Ch. at al (1993)]. The
obtained results from the both examples indicate a nice numerical
scalability and efficiency of the proposed numerical model and solver
to large areas of composite materials and structures.
Acknowledgment
Financial support for this work was provided by the GACR
103/00/0756, MSMT J04/98:210000003. Their financial assistance is
gratefully acknowledged.
© 2006 UIUC and Dr. Karel
Matous