Geodesic
General theory of isothermic elastic-plastic deformation of polycrystals. [Preliminary communication]
Applications of Mathematics, Tome 12 (1967) no. 3, pp. 219-223
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The presented theory is based on the analysis of micro-stresses. The mateis supposed to be composed of micro-volumes of several basic simple materials, which all are ideal-elastic-plastic of Reuss' type, with different parameters. The expressions for macroscopic moduli in elastic state and the incremental stress-strain relations for plastic state are obtained. This relations are depending on the instant values of micro-stresses and the instant values of micro-stresses are depending on the plastic-strain history.
The presented theory is based on the analysis of micro-stresses. The mateis supposed to be composed of micro-volumes of several basic simple materials, which all are ideal-elastic-plastic of Reuss' type, with different parameters. The expressions for macroscopic moduli in elastic state and the incremental stress-strain relations for plastic state are obtained. This relations are depending on the instant values of micro-stresses and the instant values of micro-stresses are depending on the plastic-strain history. 
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     author = {Kafka, Vratislav},
     title = {General theory of isothermic elastic-plastic deformation of polycrystals. {[Preliminary} communication]},
     journal = {Applications of Mathematics},
     pages = {219--223},
     year = {1967},
     volume = {12},
     number = {3},
     doi = {10.21136/AM.1967.103092},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1967.103092/}
}
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Kafka, Vratislav. General theory of isothermic elastic-plastic deformation of polycrystals. [Preliminary communication]. Applications of Mathematics, Tome 12 (1967) no. 3, pp. 219-223. doi: 10.21136/AM.1967.103092

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