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B. Bilby, R. Bullough, L. Gardner, E. Smith (1958)
Continuous distributions of dislocations IV. Single glide and plane strainProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 244
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Numerical Calculation Technique for Large Elastic-Plastic Transient Deformations of Thin ShellsAIAA Journal, 6
O. Zienkiewicz, G. Nayak, D. Owen (1974)
Composite and ‘overlay’ models in numerical analysis of elasto-plastic continua
R. Wu, E. Witmer (1973)
Nonlinear transient responses of structures by the spatial finite-element method.AIAA Journal, 11
G. Nayak, O. Zienkiewicz (1972)
Elasto‐plastic stress analysis. A generalization for various contitutive relations including strain softeningInternational Journal for Numerical Methods in Engineering, 5
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Stresses in a partly yielded notched bar—An assessment of three alternative programsInternational Journal for Numerical Methods in Engineering, 6
O. Zienkiewicz (1971)
The Finite Element Method In Engineering Science
D. Owen, A. Prakash (1973)
The analysis of dislocation systems by the finite element methodInternational Journal for Numerical Methods in Engineering, 6
O. Zienkiewicz, R. Taylor, J. Too (1971)
Reduced integration technique in general analysis of plates and shellsInternational Journal for Numerical Methods in Engineering, 3
D. Owen (1971)
The application of dislocation theory to the determination of stress-strain relationships of composite materialsInternational Journal of Non-linear Mechanics, 6
It is shown how the stress field due to any prescribed continuous distribution of dislocation dipoles can be determined. This technique then forms the basis of a general method of solution of elasto‐plastic material problems. The presentation is limited to situations which conform to either plane stress or strain conditions. Some results are obtained for relatively simple geometrical and loading configurations and compared with classical plasticity solutions. Finally, the method is applied to the problem of a circular hole in a finite strip under tension.
International Journal for Numerical Methods in Engineering – Wiley
Published: Jan 1, 1974
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