Adaptive and highly accurate numerical treatment for a gradient‐enhanced brittle damage model. (29th March 2020)

• Record Type: Journal Article
• Authors: Vogel, Andreas; Junker, Philipp
• Is Part Of: International journal for numerical methods in engineering. Volume 121:Number 14(2020)
• Page Start: 3108
• Page End: 3131
• Publication Date: 2020-03-29
• Subjects: adaptive finite element method -- brittle damage -- gradient‐enhanced regularization -- Laplace operator -- snapback; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.6349
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: We present an adaptive numerical treatment for a recently published model for brittle damage with gradient enhancement. We employ adaptive strategies both in time and space, yielding detailed investigations of the convergence behavior: the damage distribution can be resolved with very high accuracy, turning the damage behavior into cracks known from fracture mechanics. Although the localization is extreme, mesh‐independent results are obtained thanks to the spatial adaptivity and allow for a detailed investigation of the influence of the regularization parameter.