This text presents a mathematical modeling to the shape definition of shell structures through the use of mathematical programming techniques combined with the finite element method. It includes a total Lagrangian description of a flexible membrane element using the Green strain definition and assuming a linear elastic material. The model allows the shape definition of shell structures with any horizontal projection. The shapes are generated by loading an initially plane flexible membrane. The model allows the use of concentrated forces, distributed forces, uniform pressure and also non-zero displacement prescriptions.
Download the complete text as MS-Word and PDF documents and computer source codes written in Ada95. The computer codes generate an ANSYS data file using the SOLID65 element (3D Reinforced concrete solid) and also a script file for AutoCAD.