A simple fully nonlinear Kirchhoff-Love shell finite element

Isogeometric Kirchhoff-Love shell formulations for biological membranes.

Computational modeling of thin biological membranes can aid the design of better medical devices. Remarkable biological membranes include skin, alveoli, blood vessels, and heart valves. Isogeometric analysis is ideally suited for biological membranes since it inherently satisfies the C1-requirement for Kirchhoff-Love kinematics. Yet, current isogeometric shell formulations are mainly focused on...

Geometrically Exact Finite Element Formulations for Curved Slender Beams: Kirchhoff-Love Theory vs. Simo-Reissner Theory

The present work focuses on geometrically exact finite elements for highly slender beams. It aims at the proposal of novel formulations of Kirchhoff-Love type, a detailed review of existing formulations of Kirchhoff-Love and SimoReissner type as well as a careful evaluation and comparison of the proposed and existing formulations. Two different rotation interpolation schemes with strong or weak...

A Finite Element Method for Fully Nonlinear Water Waves

A Finite Element Method for Fully Nonlinear Water Waves Xing Cai,∗ Hans Petter Langtangen,† Bjørn Fredrik Nielsen,∗ and Aslak Tveito∗ ∗Department of Informatics, University of Oslo, P.O. Box 1080 Blindern, N-0316, Oslo, Norway; and †Mechanics Division, Department of Mathematics, University of Oslo, P.O. Box 1053 Blindern, N-0316, Oslo, Norway E-mail: [email protected], [email protected], bjornn@i...

A New Stress Based Approach for Nonlinear Finite Element Analysis

This article demonstrates a new approach for nonlinear finite element analysis. The methodology is very suitable and gives very accurate results in linear as well as in nonlinear range of the material behavior. Proposed methodology can be regarded as stress based finite element analysis as it is required to define the stress distribution within the structural body with structural idealization a...

Implementation of a high-order Kirchhoff-Love shell: a comparison of IGA and p-FEM