Details
| Original language | English |
|---|---|
| Pages (from-to) | 3108-3131 |
| Number of pages | 24 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 121 |
| Issue number | 14 |
| Publication status | Published - 8 Jun 2020 |
| Externally published | Yes |
Abstract
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.
Keywords
- Laplace operator, adaptive finite element method, brittle damage, gradient-enhanced regularization, snapback
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 121, No. 14, 08.06.2020, p. 3108-3131.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Adaptive and highly accurate numerical treatment for a gradient‐enhanced brittle damage model
AU - Vogel, A.
AU - Junker, Philipp
N1 - Publisher Copyright: © 2020 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/6/8
Y1 - 2020/6/8
N2 - 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.
AB - 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.
KW - Laplace operator
KW - adaptive finite element method
KW - brittle damage
KW - gradient-enhanced regularization
KW - snapback
UR - http://www.scopus.com/inward/record.url?scp=85082945478&partnerID=8YFLogxK
U2 - 10.1002/nme.6349
DO - 10.1002/nme.6349
M3 - Article
VL - 121
SP - 3108
EP - 3131
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 14
ER -