Object-oriented programming in FEM and BEM: a bibliography (1990-2003)
Advances in Engineering Software
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An object-oriented environment for reinforcement dimensioning of two- and three-dimensional concrete panel structures is suggested and a new finite element design (FED) object is introduced. In the framework of an object-oriented environment for finite element analysis, the FE object commonly providing the stiffness matrix for analysis is extended to the FED object used for design. The FED object provides the finite element yield conditions in terms of the element nodal forces as opposed to conventional yield conditions formulated for stresses at art infinitesimal point. It can be used for any kind of material provided the corresponding resistance values are used in the yield condition. Class definitions and methods for the FED object are defined. Other major design classes to be used in an object-oriented finite element-based design environment of concrete panel structures are presented. Further, a progressive linear programming approach is suggested in which the tableau is progressively expanded to include new optimization variable columns and constraint rows while most of the computation is performed outside of the tableau. This method is applied to the reinforcement minimization. Possibilities of parallelization of the method on a network of workstations are explained.