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                <term xml:lang="en"> microenrichment</term>
                <term xml:lang="en"> macroenrichment</term>
                <term xml:lang="en"> homogenization</term>
                <term xml:lang="en"> X-FEM</term>
                <term xml:lang="en"> crack propagation</term>
                <term xml:lang="en">multiscale strategy</term>
                <term xml:lang="fr"> enrichissement micro</term>
                <term xml:lang="fr"> enrichissement macro</term>
                <term xml:lang="fr"> homogénéisation</term>
                <term xml:lang="fr"> propagation de fissure</term>
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              <p>In this paper, a multiscale strategy for the analysis of crack propagation is presented. The purposes of this strategy are, first, to separate the local effects from the global effects in order to keep a macromesh unchanged during the crack's propagation and, second, to enable one to use a proper fine-scale description only where it is required. Two aspects are discussed: the first is the choice of the macroscale in order to include the macroeffect of a crack; the second is the use of a decomposition of the domain into substructures and interfaces in order to limit the use of the refined scale only around the crack. The integration of the X-FEM as a local enrichment method for the description of a crack is also presented.</p>
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