Abstract
AbstractThe finite strain theory for ropes and membranes is reformulated in the frame of the Tangential Differential Calculus (TDC) resulting in a unification in a geometrical, mechanical, and numerical sense. The resulting formulation applies to parametric and implicit geometry definitions of ropes and membranes. In contrast to classical theories, the formulation is suitable not only to the Surface FEM but also to recent Trace and Cut FEMs.
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