Geodesic
Behavior singularities of the simplest nonlinear elasticity models constructed on the basis of new holonomic tensor measures
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2023), pp. 40-47

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We consider new holonomic tensor measures of strain and stresses and build nonlinear elasticity models for which the problems of stretching a thin wide plate and uniaxial stretching a rod from incompressible materials are solved. These models are congruent with classical ones when deformation is small, and they demonstrate essentially various properties at large deformations. 
@article{VMUMM_2023_5_a5,
     author = {E. S. Klimov and G. L. Brovko},
     title = {Behavior singularities of the simplest nonlinear elasticity models constructed on the basis of new holonomic tensor measures},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {40--47},
     publisher = {mathdoc},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_5_a5/}
}
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E. S. Klimov; G. L. Brovko. Behavior singularities of the simplest nonlinear elasticity models constructed on the basis of new holonomic tensor measures. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2023), pp. 40-47. http://geodesic.mathdoc.fr/item/VMUMM_2023_5_a5/