Details
| Original language | English |
|---|---|
| Article number | e201900147 |
| Number of pages | 2 |
| Journal | PAMM - Proceedings in Applied Mathematics and Mechanics |
| Volume | 19 |
| Issue number | 1 |
| Publication status | Published - 18 Nov 2019 |
| Event | 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - Wien, Austria Duration: 18 Feb 2019 → 22 Feb 2019 |
Abstract
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In: PAMM - Proceedings in Applied Mathematics and Mechanics, Vol. 19, No. 1, e201900147, 18.11.2019.
Research output: Contribution to journal › Article › Research
}
TY - JOUR
T1 - 3D Dynamic Crack under Cyclic Loading using XFEM
T2 - 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
AU - Lyu, Tengfei
AU - Löhnert, Stefan
AU - Wriggers, Peter
N1 - Funding information: The support of this research within the Collaborative Research Center SFB/Transregio 73 by the German ResearchFoundation is gratefully acknowledged.
PY - 2019/11/18
Y1 - 2019/11/18
N2 - The eXtended Finite Element Method (XFEM) is a special numerical method to handle arbitrary discontinuities in the displacement field independent of the finite element mesh. This is advantageous during crack initiation, growth and propagation processes. In the range of continuum damage mechanics, gradient-enhanced damage models can be used to model damage and fracture without spurious mesh dependencies. Gradient-enhanced damage models have been investigated extensively in the context of quasi-brittle and elasto-plastic materials. To avoid fracture and failure of materials, modelling the component under cyclic loading is significant for fatigue lifetime prediction. The focus of this contribution is set on algorithmic issues. The numerical treatment of 3d cracks under cyclic loading is investigated. The domain is discretized with ten-node tetrahedral elements. Discrete cracks are captured using XFEM and updated by level set methods. In oder to take advantage of the explicit time discretization scheme, a modified differential equation for the gradient-enhanced damage is presented and the central difference explicit time stepping method is employed to obtain 2nd oder accuracy of the solved equations.
AB - The eXtended Finite Element Method (XFEM) is a special numerical method to handle arbitrary discontinuities in the displacement field independent of the finite element mesh. This is advantageous during crack initiation, growth and propagation processes. In the range of continuum damage mechanics, gradient-enhanced damage models can be used to model damage and fracture without spurious mesh dependencies. Gradient-enhanced damage models have been investigated extensively in the context of quasi-brittle and elasto-plastic materials. To avoid fracture and failure of materials, modelling the component under cyclic loading is significant for fatigue lifetime prediction. The focus of this contribution is set on algorithmic issues. The numerical treatment of 3d cracks under cyclic loading is investigated. The domain is discretized with ten-node tetrahedral elements. Discrete cracks are captured using XFEM and updated by level set methods. In oder to take advantage of the explicit time discretization scheme, a modified differential equation for the gradient-enhanced damage is presented and the central difference explicit time stepping method is employed to obtain 2nd oder accuracy of the solved equations.
U2 - 10.1002/pamm.201900147
DO - 10.1002/pamm.201900147
M3 - Article
VL - 19
JO - PAMM - Proceedings in Applied Mathematics and Mechanics
JF - PAMM - Proceedings in Applied Mathematics and Mechanics
SN - 1617-7061
IS - 1
M1 - e201900147
Y2 - 18 February 2019 through 22 February 2019
ER -