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| Extended isoparametric finite element method including two class of enrichment functions |
| Revised:September 26, 2006 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20081011 |
| KeyWord:extended isoparametric finite element,enriched freedom degree,enriched displacement function,exponent discontinuous function,trigonometric basic function. |
| XIA Xiao-zhou ZHANG Qing |
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| Abstract: |
| Based on the idea of extended finite element method,a new enrichment displacement function-the exponent discontinuous function is presented to stimulate the discontinuous character resulted from discontinuity such as crack or joint.This enrichment function uses the vertical distance to discontinuity as the independent variable.It has of exponent attenuation characteristic with the increment of the vertical distance from discontinuity.Simultaneously,at the end of discontinuity,the trigonometric basic function is introducced to embody its singularity.The weak form of extended finite element discrete equation is deduced and the displacement continuity for the share edge of elements can be kept.Finally,the programs for 2-D four nodes and 3-D eight nodes isoparametric finite element are made and the numerical experiments are provided to demonstrate the utility and robustness of the proposed technique. |
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