On a mixed finite element formulation involving large rotations for geometrically nonlinear elasticity

Steinmann, P. , Brink, U. and Stein, E. (1995) On a mixed finite element formulation involving large rotations for geometrically nonlinear elasticity. Revue Européenne des Éléments Finis, 4(5-6), pp. 577-596. (doi: 10.1080/12506559.1995.10511202)

Abstract

A geometrically nonlinear extension of a mixed finite element formulation based on a complementary energy functional involving rotations and nonsymetric stresses is investigated. The resulting nonlinear strain measure involves an independent rotation tensor and resembles a micropolar approach. As a point of departure, the hybrid mixed functional is derived and the stationarity conditions together with their linearization are given with respect to the reference and the spatial configuration. A possible application of well balanced approximation spaces to the geometrically nonlinear case is discussed.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Steinmann, P., Brink, U., and Stein, E.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Revue Européenne des Éléments Finis
• Publisher: Taylor & Francis
• ISSN: 1779-7179
• ISSN (Online): 1958-5829