Geodesic
Studying of elastoplastic properties of coal specimens using indentation technique
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 18 (2018) no. 4, pp. 412-420

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A numerical study on elsatoplastic properties in problem of coals specimen nanoindentation by Berkovich pyramid is presented. The stress-strain state of specimen during indentation is calculated using finite element method including complex elastoplastic behaviour on the basis of Drucker–Prager model. The effective axisymmetrical indenter of cone shape is introduced and used for the simulation. The influence of basic geometrical and material parameters of the solid model on the indentation curve is studied. In addition, some new form of indentation curve approximation is proposed. For all the results calculated, the sets of approximation parameters are given. Using modern nanoindentation equipment the number of real experiments were performed and comparison with the mathematical model is presented. 
@article{ISU_2018_18_4_a4,
     author = {A. O. Vatulyan and A. A. Lyapin and E. L. Kossovich},
     title = {Studying of elastoplastic properties of coal specimens using indentation technique},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {412--420},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ISU_2018_18_4_a4/}
}
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A. O. Vatulyan; A. A. Lyapin; E. L. Kossovich. Studying of elastoplastic properties of coal specimens using indentation technique. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 18 (2018) no. 4, pp. 412-420. http://geodesic.mathdoc.fr/item/ISU_2018_18_4_a4/