Brittle fracture during folding of rocks : A finite element study
Identifieur interne : 008E50 ( Main/Exploration ); précédent : 008E49; suivant : 008E51Brittle fracture during folding of rocks : A finite element study
Auteurs : P. J Ger [Allemagne] ; S. M. Schmalholz [Suisse] ; D. W. Schmid [Norvège] ; E. Kuhl [États-Unis]Source :
- Philosophical magazine : (2003. Print) [ 1478-6435 ] ; 2008.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
The goal of the present work is the development of a novel computational analysis tool to elaborate folding-induced fracture of geological structures. Discrete failure of brittle rocks is characterised by three sets of governing equations: the bulk problem, the interface problem and the crack problem. The former two sets which define the deformation field are highly nonlinear and strongly coupled. They are solved iteratively within a Hansbo-type finite element setting. The latter set defines the crack kinematics. It is linear and solved in a single post-processing step. To elaborate the features of the computational algorithm, we define a unique benchmark problem of a single, geometrically nonlinear plate, which is subjected to layer-parallel in-plane compression combined with different levels of superposed in-plane shear. The resulting folding, or buckling, induces brittle failure in the tensile regime. By systematically increasing the shear strain at constant compression, we develop crack deviation angle versus shear-to-compression ratio tables. We determine the corresponding damage zones, analyse the folding modes and elaborate the force versus amplification diagrams. The proposed two-field folding-induced fracture algorithm can ultimately be applied to interpret natural folded rocks and understand their evolution, structural development and histology.
Affiliations:
- Allemagne, Norvège, Suisse, États-Unis
- Canton de Zurich, Rhénanie-Palatinat, Østlandet
- Kaiserslautern, Oslo, Zurich
- Université technique de Kaiserslautern
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Le document en format XML
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<term>Damage</term>
<term>Deformation</term>
<term>Finite element method</term>
<term>Fractures</term>
<term>Interface crack</term>
<term>Iterative methods</term>
<term>Material processing</term>
<term>Non linear effect</term>
<term>Rocks</term>
<term>Shear</term>
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<keywords scheme="Pascal" xml:lang="fr"><term>Rupture fragile</term>
<term>Méthode élément fini</term>
<term>Fracture</term>
<term>Fissure interface</term>
<term>Déformation</term>
<term>Effet non linéaire</term>
<term>Méthode itérative</term>
<term>Traitement matériau</term>
<term>Algorithme</term>
<term>Cisaillement</term>
<term>Flambage</term>
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<front><div type="abstract" xml:lang="en">The goal of the present work is the development of a novel computational analysis tool to elaborate folding-induced fracture of geological structures. Discrete failure of brittle rocks is characterised by three sets of governing equations: the bulk problem, the interface problem and the crack problem. The former two sets which define the deformation field are highly nonlinear and strongly coupled. They are solved iteratively within a Hansbo-type finite element setting. The latter set defines the crack kinematics. It is linear and solved in a single post-processing step. To elaborate the features of the computational algorithm, we define a unique benchmark problem of a single, geometrically nonlinear plate, which is subjected to layer-parallel in-plane compression combined with different levels of superposed in-plane shear. The resulting folding, or buckling, induces brittle failure in the tensile regime. By systematically increasing the shear strain at constant compression, we develop crack deviation angle versus shear-to-compression ratio tables. We determine the corresponding damage zones, analyse the folding modes and elaborate the force versus amplification diagrams. The proposed two-field folding-induced fracture algorithm can ultimately be applied to interpret natural folded rocks and understand their evolution, structural development and histology.</div>
</front>
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