Article ID Journal Published Year Pages File Type
498084 Computer Methods in Applied Mechanics and Engineering 2014 14 Pages PDF
Abstract

We construct a new Galerkin finite element method for the membrane elasticity problem on a meshed surface by using two-dimensional elements extended into three dimensions. The membrane finite element model is established using a tangential differential calculus approach that avoids the use of classical differential geometric methods. The finite element method generalizes the classical flat element shell method where standard plane stress elements are used for membrane problems. This makes our method applicable to a wider range of problems and of surface descriptions, including surfaces defined by distance functions.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
Authors
, ,