The extended kinematic minimum principle is used to formulate a quadratic pro-gram~ng solution to the rate problem in elastoplasticity for plane continua. A simple algorithm is presented which involves the minimisation of a continuous functional subject to inequality constraints. The algorithm has b
A high-performance element for the analysis of 2D elastoplastic continua
โ Scribed by A. Bilotta; R. Casciaro
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 550 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
The paper presents a four node element for the analysis of 2D continua described by elastic-perfectly plastic von Mises laws. Its formulation is based on the assumed stress approach which has been widely tested in the elastic field. The elastoplastic formulation of the element is obtained by enriching its variational basis with the weak enforcement of the plastic loading/unloading conditions. In this way the elastoplastic problem is formulated with respect to the stress parameters of the element consistently with the weak statement of the compatibility condition.
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