A numerically robust anisotropic damage model. Issue 1 (17th December 2018)

• Record Type: Journal Article
• Authors: Fassin, Marek; Eggersmann, Robert; Wulfinghoff, Stephan; Reese, Stefanie
• Other Names: Müller G. guestEditor.; Ulbrich M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 18:Issue 1(2018)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2018-12-17
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201800118
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: The present work deals with an elastic‐brittle anisotropic damage model utilizing a second order damage tensor. Artificial stiffening effects are excluded a priori by means of a specific choice of the elastic part of the free energy. Two strategies for the determination of the internal variables are investigated: (i) standard approach based on the evolution equations of the internal variables and (ii) use of a regularized dissipation potential (within the concept of generalized standard materials). The superior robustness of the latter approach is exemplarily shown with a convergence study of a uniaxial stretch test.