A high-order finite element approach to non-linear thin-walled solids

We present a three-dimensional implementation of hierarchic high order finite elements for geometrically non-linear thin-walled continua undergoing deformations caused by a temperature change. Therefore, we apply a partitioned approach to couple two different model problems. The first model describes the heat conduction problem while the second one represents an elastic, geometrically non-linear continuum with deformations caused by a temperature change. The discretization is based on a p-version finite element method with a hexahedral element formulation. This allows to adjust the polynomial degree of the Ansatz in each local direction and for each displacement component which accounts for the special situation of thin-walled structures. The linearization of the second model problem is carried out by applying the Newton-Raphson scheme. The paper summarizes results which have been published in [8] and [11].     «

We present a three-dimensional implementation of hierarchic high order finite elements for geometrically non-linear thin-walled continua undergoing deformations caused by a temperature change. Therefore, we apply a partitioned approach to couple two different model problems. The first model describes the heat conduction problem while the second one represents an elastic, geometrically non-linear continuum with deformations caused by a temperature change. The discretization is based on a p-versio...     »