An analysis of the numerical path dependence of the J-integral
| Autor: | Ad Bakker |
|---|---|
| Rok vydání: | 1983 |
| Předmět: |
Field (physics)
Finite element limit analysis Mechanical Engineering Mathematical analysis Fracture mechanics Geometry Mixed finite element method Finite element method Strain energy Mechanics of Materials General Materials Science Element (category theory) Mathematics Extended finite element method |
| Zdroj: | International Journal of Pressure Vessels and Piping. 14:153-179 |
| ISSN: | 0308-0161 |
| Popis: | Path dependent behaviour of the J -integral computed from the results of a finite element analysis may have two sources. The first is the history dependence of the strain energy, which causes J to lose its crack tip strain field characterizing property. The second is rooted in the principle of the finite element displacement method which ensures equilibrium only for each element as a whole, not for points within an element. It is of the utmost importance for a J -based safety assessment that these two sources be clearly distinguished as the latter may be reduced by mesh refinement whereas the former may serve as a criterion for assessing whether J can still be interpreted in its crack tip characterizing sense. The present paper proposes a numerical procedure for this distinction. Two examples confirm the procedure's validity and illustrate the practical necessity of careful evaluation of computed J -values. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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