STRONG DISPLACEMENT DISCONTINUITIES AND LAGRANGE MULTIPLIERS: FINITE DISPLACEMENT FORMULATION IN THE ANALYSIS OF FRACTURE PROBLEMS
Keywords:
EMBEDDED DISCONTINUITIES, FRACTURE, ¯NITE DISPLACEMENT, LAGRANGRE MULTIPLIERS.Abstract
A FINITE DISPLACEMENT FORMULATION OF A QUADRILATERAL ELEMENT CONTAINING AN EMBEDDED DISPLACEMENT DISCONTINUITY IS PRESENTED. LAGRANGE MULTIPLIERS ARE ADOPTED TO ENSURE THE CRACK CLOSURE BEFORE INITIATION. SIX ADDITIONAL DEGREES OF FREEDOM IN EACH ELEMENT ALLOW THE REPRESENTATION OF THE VARIOUS STATES OF THE CRACK. THE DISCRETIZED EQUILIBRIUM EQUATIONS ARE EXPOSED, ALONG WITH THE CORRESPONDING EXACT LINEARIZATION. TWO EXAMPLES ILLUSTRATE BOTH THE ROBUSTNESS AND THE ACCURACY OF THE ALGORITHMS.Downloads
Published
2005-03-01
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