Abstract
With the combination of homogenization theory and strain approach, limit and shakedown analysis of composites is investigated on the microscopic level by using stress function method. The admissible loading domain of representative volume element can be obtained under the unknown loading history. An eight node non-conforming isoparametric finite element is used to discritize the physical model, and the self-equilibrated residual stresses as well as the local stresses are obtained to establish the mathematical programming of lower-bound shakedown problem. The application of non-conforming element not only achieves the qualified accuracy as the second order element, but also reduces the computational scale. Limit and shakedown analysis of fiber reinforced metal matrix periodic composites is done to prove the validity and reliability of application of the non-conforming element.
Original language | English |
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Pages (from-to) | 631-634 |
Number of pages | 4 |
Journal | Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics |
Volume | 29 |
Issue number | 4 |
Publication status | Published - Aug 2012 |
Externally published | Yes |
Keywords
- Homogenization theory
- Lower-bound shakedown analysis
- Non-conforming element
- Periodic composites
- Representative volume element(RVE)
- Strain approach