ENERGY BASED OPTIMIZATION OF LAMINATED PLATES
K. MATOUS, M. SEJNOHA and J. SEJNOHA
CTU, Fac. of Civil Eng., Dep. of Structural Mechanics
Thákurova, 166 29 Prague 6
Keywords: layered plate, constrain condition, optimization
process, simulated annealing
Abstract
Local phase eigenstrains or eigenstresses are introduced as control
variables in the proposed optimization problem. A uniform fiber
prestress, in particular, generated during fabrication in certain
layers of the fibrous composite laminates, is used to minimize the
total potential energy functional derived here for selected polymer and
metal matrix material systems. Results show that such formulation of
the optimization procedure applied, for example, to bending of
laminated plates leads not only to reduction of the maximum transverse
deflection but also redistributes the local phase stresses to utilize
an extremely high tensile strength of the fiber. A refined laminated
plate theory combined with Dvorak's transformation field analysis for
incorporating essential features of the micromechanical response is
selected in the present analysis to provide for a reliable and
accurate prediction of laminate behavior under general loading
conditions.
Acknowledgment
Financial support was provided by GACR 103/97/1255 and by GACR
103/97/P040.
© 2006 UIUC and Dr. Karel
Matous