## Abstract A numerical method of the Newton‐Raphson type is presented for elasto‐plastic analysis using the finite element method. The method is developed from Nadai's deformation theory and Hooke's law. Numerical examples are used to show that the method provides very rapid solution convergence.
A finite element for variable order singularities based on the displacement formulation
✍ Scribed by S. K. Maiti
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 944 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
An element for analysis of variable order one point singularities in plane problems has been proposed. The element meets all the convergence requirements, viz. the rigid body mode, the constant strain condition and the interelement compatibility. It can be easily incorporated in any package based on the displacement formulation. Four examples from fracture mechanics are presented to demonstrate its performance. The examples involve mechanical or thermal loadings. The accuracy of results in all the examples is very good.
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