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Authors: Megna, A.* 
Barba, S.* 
Santini, S.* 
Title: Normal-fault stress and displacement through finite-element analysis
Issue Date: Dec-2005
Series/Report no.: 6/48 (2005)
Keywords: algorithms
theoretical studies
numerical models
analytical models
Subject Classification04. Solid Earth::04.06. Seismology::04.06.10. Instruments and techniques 
05. General::05.01. Computational geophysics::05.01.05. Algorithms and implementation 
Abstract: We compute displacement and stress due to a normal fault by means of two-dimensional plane-strain finite-element analysis. To do so, we apply a system of forces to the fault nodes and develop an iterative algorithm serving to determine the force magnitudes for any slip distribution. As a sample case, we compute the force magnitudes assuming uniform slip on a 10-km two-dimensional normal fault. The numerical model generates displacement and stress fields that compare well with the analytical solution. In fact, we found little difference in displacements (<5%), displacement orientation (<15°), and stress components (<35%, half of which due to slip tolerance). We analyze such misfit, and discuss how the error propagates from displacement to stress. Our scheme provides a convenient way to use the finite-elements direct method in a trial-and-error procedure to reproduce any smooth slip distribution.
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Annals of Geophysics
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