Application of material forces to hyperelastostatic fracture mechanics. II. Computational setting

Steinmann, P. , Ackermann, D. and Barth, F.J. (2001) Application of material forces to hyperelastostatic fracture mechanics. II. Computational setting. International Journal of Solids and Structures, 38(32-33), pp. 5509-5526. (doi: 10.1016/S0020-7683(00)00381-4)

Abstract

The concern of this work is a novel algorithmic treatment of hyperelastostatic fracture mechanics problems consistent to the notion of material forces within the geometrically nonlinear setting of continuum mechanics. To this end, we consider the continuum mechanics of material forces, as outlined in Part I of this work (P. Steinmann, Int. J. Solid Struct. 37, 7371–7391), which act, contrary to the common physical forces, on the material manifold or rather in the material space. In the sequel it is proposed to discretize the corresponding quasi-static balance of pseudo momentum by a standard Galerkin finite element procedure. As a result we obtain global discrete node point quantities, the material node point forces, which prove to be of the same qualitative and quantitative importance for the assessment of fracture mechanics problems as the classical J-integral.

• Item Type: Articles
• Additional Information: Dedicated to the occasion of the 60th birthday of Professor Dr.-Ing. D. Gross.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Steinmann, P., Ackermann, D., and Barth, F.J.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: International Journal of Solids and Structures
• Publisher: Elsevier
• ISSN: 0020-7683
• ISSN (Online): 1879-2146
• Published Online: 07 July 2001