A simple procedure for shape finding and analysis of fabric structures

This text presents a mathematical modeling of a membrane finite element. It includes a total Lagrangian description using the Green strain definition and assumes a linear elastic material. A procedure to define the shape of a fabric structure and to analyze it in the presence of conservative forces and small deformations is summarized. The shapes are generated by loading a membrane with concentrated forces, distributed force and also by prescribing displacements. Mathematical programming techniques make the use of stiffness matrix pointless.