Characterization of fracture processes by continuum and discrete modelling

Date

2012-09-01

Author

KALISKE, M.
Dal, Hüsnü
FLEISCHHAUER, R.
JENKEL, C.
NETZKER, C.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

216
views

0
downloads

A large number of methods to describe fracture mechanical features of structures on basis of computational algorithms have been developed in the past due to the importance of the topic. In this paper, current and promising numerical approaches for the characterization of fracture processes are presented. A fracture phenomenon can either be depicted by a continuum formulation or a discrete notch. Thus, starting point of the description is a micromechanically motivated formulation for the development of a local failure situation. A current, generalized method without any restriction to material modelling and loading situation in order to describe an existing crack in a structure is available through the material force approach. One possible strategy to simulate arbitrary crack growth is based on an adaptive implementation of cohesive elements in combination with the standard discretization of the body. In this case, crack growth criteria and the determination of the crack propagation direction in combination with the modification of the finite element mesh are required. The nonlinear structural behaviour of a fibre reinforced composite material is based on the heterogeneous microstructure. A two-scale simulation is therefore an appropriate and effective way to take into account the scale differences of macroscopic structures with microscopic elements. In addition, fracture mechanical structural properties are far from being sharp and deterministic. Moreover, a wide range of uncertainties influence the ultimate load bearing behaviour. Therefore, it is evident that the deterministic modelling has to be expanded by a characterization of the uncertainty in order to achieve a reliable and realistic simulation result. The employed methods are illustrated by numerical examples.

Subject Keywords

Mechanical Engineering, Computational Theory and Mathematics, Applied Mathematics, Ocean Engineering, Computational Mathematics

URI

https://hdl.handle.net/11511/46414

Journal

COMPUTATIONAL MECHANICS

DOI

https://doi.org/10.1007/s00466-011-0578-5

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement Manguoğlu, Murat; Sameh, Ahmed H.; Tezduyar, Tayfun E. (Springer Science and Business Media LLC, 2010-06-01) Computation of incompressible flows in arterial fluid mechanics, especially because it involves fluid-structure interaction, poses significant numerical challenges. Iterative solution of the fluid mechanics part of the equation systems involved is one of those challenges, and we address that in this paper, with the added complication of having boundary layer mesh refinement with thin layers of elements near the arterial wall. As test case, we use matrix data from stabilized finite element computation of a b...
A nested iterative scheme for computation of incompressible flows in long domains Manguoğlu, Murat; Tezduyar, Tayfun E.; Sathe, Sunil (Springer Science and Business Media LLC, 2008-12-01) We present an effective preconditioning technique for solving the nonsymmetric linear systems encountered in computation of incompressible flows in long domains. The application category we focus on is arterial fluid mechanics. These linear systems are solved using a nested iterative scheme with an outer Richardson scheme and an inner iteration that is handled via a Krylov subspace method. Test computations that demonstrate the robustness of our nested scheme are presented.
Fracture mechanical behaviour of visco-elastic materials: application to the so-called dwell-effect NAESER, Bastian; KALISKE, Michael; Dal, Hüsnü; NETZKER, Christiane (Wiley, 2009-08-01) The material force approach is an efficient, elegant, and accepted means to compute the J-integral as a fracture mechanical parameter for elastic and inelastic materials. With the formulation of a multiplicative split of the deformation gradient at hand, rate-dependent (visco-elastic) materials described for example by the physically based Bergstrom-Boyce model can be investigated. For these investigations, the so-called material volume forces have to be computed in order to separate the driving forces acti...
Modeling of dislocation-grain boundary interactions in a strain gradient crystal plasticity framework ÖZDEMİR, İZZET; Yalçınkaya, Tuncay (Springer Science and Business Media LLC, 2014-08-01) This paper focuses on the continuum scale modeling of dislocation-grain boundary interactions and enriches a particular strain gradient crystal plasticity formulation (convex counter-part of Yal double dagger inkaya et al., J Mech Phys Solids 59:1-17, 2011; Int J Solids Struct 49:2625-2636, 2012) by incorporating explicitly the effect of grain boundaries on the plastic slip evolution. Within the framework of continuum thermodynamics, a consistent extension of the model is presented and a potential type non-...
A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites Denli, Funda Aksu; Gultekin, Osman; Holzapfel, Gerhard A.; Dal, Hüsnü (Springer Science and Business Media LLC, 2020-04-01) This study presents a crack phase-field approach for anisotropic continua to model, in particular, fracture of fiber-reinforced matrix composites. Starting with the variational formulation of the multi-field problem of fracture in terms of the deformation and the crack phase fields, the governing equations feature the evolution of the anisotropic crack phase-field and the balance of linear momentum, presented for finite and small strains. A recently proposed energy-based anisotropic failure criterion is inc...

Citation Formats

M. KALISKE, H. Dal, R. FLEISCHHAUER, C. JENKEL, and C. NETZKER, “Characterization of fracture processes by continuum and discrete modelling,” COMPUTATIONAL MECHANICS, pp. 303–320, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46414.