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**Harvard**

Fagerström, M. och Larsson, R. (2005) *Inverse Discontinuity Formulation of Fracture*.

** BibTeX **

@conference{

Fagerström2005,

author={Fagerström, Martin and Larsson, Ragnar},

title={Inverse Discontinuity Formulation of Fracture},

booktitle={11th International Conference on Fracture},

abstract={A theoretical and computational framework for linear and non-linear fracture mechanics is presented. We use the
material forces concept as a basis for the formulation, due to the close relation between on one hand the Eshelby
energy-momentum tensor and on the other hand material defects like cracks and material inhomogeneities. By
separating the discontinuous displacement from the continuous counterpart in line with the eXtended Finite Element
Method (XFEM), we are able to formulate the weak equilibrium in two coupled problems representing the total
deformation. However, in contrast to standard XFEM, where the direct motion discontinuity is used to model the
crack, we rather formulate an inverse motion discontinuity to model crack development. The resulting formulation
thus couples the continuous direct motion to the inverse discontinuous motion, which may used to simulate linear as
well as nonlinear fracture in one and the same formulation. In fact, the linear fracture formulation can be retrieved
from the non-linear cohesive zone formulation simply by confining the cohesive zone to the crack tip. },

year={2005},

keywords={material crack driving force, crack propagation, partition of unity, XFEM},

}

** RefWorks **

RT Conference Proceedings

SR Print

ID 6827

A1 Fagerström, Martin

A1 Larsson, Ragnar

T1 Inverse Discontinuity Formulation of Fracture

YR 2005

T2 11th International Conference on Fracture

AB A theoretical and computational framework for linear and non-linear fracture mechanics is presented. We use the
material forces concept as a basis for the formulation, due to the close relation between on one hand the Eshelby
energy-momentum tensor and on the other hand material defects like cracks and material inhomogeneities. By
separating the discontinuous displacement from the continuous counterpart in line with the eXtended Finite Element
Method (XFEM), we are able to formulate the weak equilibrium in two coupled problems representing the total
deformation. However, in contrast to standard XFEM, where the direct motion discontinuity is used to model the
crack, we rather formulate an inverse motion discontinuity to model crack development. The resulting formulation
thus couples the continuous direct motion to the inverse discontinuous motion, which may used to simulate linear as
well as nonlinear fracture in one and the same formulation. In fact, the linear fracture formulation can be retrieved
from the non-linear cohesive zone formulation simply by confining the cohesive zone to the crack tip.

LA eng

OL 30