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**Harvard**

Fagerström, M. (2005) *On the Modelling of Fracture Using Strong Discontinuities*. Göteborg : Chalmers University of Technology (Technical report - Department of Applied Mechanics, Chalmers University of Technology, Göteborg, Sweden, nr: 2005:05).

** BibTeX **

@book{

Fagerström2005,

author={Fagerström, Martin},

title={On the Modelling of Fracture Using Strong Discontinuities},

abstract={The major concern of this work is the constitutive and numerical modelling of fracture,
based on strong discontinuity formulations. More particularly, an extended finite
element approach is used, where the total displacement is separated in two mutually
independent fields, representing the continuous and discontinuous displacement respectively.
In this work, two different types of discontinuity representations are considered:
one inverse (or material) and one direct (or spatial). Based on the inverse discontinuity,
a general framework is derived within the concept of material forces, involving the
Eshelby stress (or energy-momentum) tensor. The fracture process is described by a
cohesive zone model of damage-plasticity type relating the material Mandel stress and
the inverse discontinuity. Interestingly, by confining the cohesive zone model entirely
to the crack tip, the material crack driving force emerges as a reaction force at the
tip. Due to the properties of this force, with magnitude corresponding to the well
established J -integral and direction corresponding to the direction of maximum energy
release, it is used to formulate an additional fracture criterion of Griffith type. The
inverse formulation is also compared to a formulation based on the direct discontinuity,
producing similar results. Also the numerical handling and computational implementation
is addressed, including aspects as the numerical integration and linearisation of
proposed models, the explicit finite element formulation with corresponding discretized
equations as well as the particular procedure for successive discontinuity introduction.},

publisher={Institutionen för tillämpad mekanik, Material- och beräkningsmekanik, Chalmers tekniska högskola,},

place={Göteborg},

year={2005},

series={Technical report - Department of Applied Mechanics, Chalmers University of Technology, Göteborg, Sweden, no: 2005:05},

keywords={fracture, FEM, strong discontinuity, finite deformations, material forces,},

}

** RefWorks **

RT Dissertation/Thesis

SR Print

ID 5229

A1 Fagerström, Martin

T1 On the Modelling of Fracture Using Strong Discontinuities

YR 2005

AB The major concern of this work is the constitutive and numerical modelling of fracture,
based on strong discontinuity formulations. More particularly, an extended finite
element approach is used, where the total displacement is separated in two mutually
independent fields, representing the continuous and discontinuous displacement respectively.
In this work, two different types of discontinuity representations are considered:
one inverse (or material) and one direct (or spatial). Based on the inverse discontinuity,
a general framework is derived within the concept of material forces, involving the
Eshelby stress (or energy-momentum) tensor. The fracture process is described by a
cohesive zone model of damage-plasticity type relating the material Mandel stress and
the inverse discontinuity. Interestingly, by confining the cohesive zone model entirely
to the crack tip, the material crack driving force emerges as a reaction force at the
tip. Due to the properties of this force, with magnitude corresponding to the well
established J -integral and direction corresponding to the direction of maximum energy
release, it is used to formulate an additional fracture criterion of Griffith type. The
inverse formulation is also compared to a formulation based on the direct discontinuity,
producing similar results. Also the numerical handling and computational implementation
is addressed, including aspects as the numerical integration and linearisation of
proposed models, the explicit finite element formulation with corresponding discretized
equations as well as the particular procedure for successive discontinuity introduction.

PB Institutionen för tillämpad mekanik, Material- och beräkningsmekanik, Chalmers tekniska högskola,

T3 Technical report - Department of Applied Mechanics, Chalmers University of Technology, Göteborg, Sweden, no: 2005:05

LA eng

OL 30