Metadata (abstracts and keywords) for the articles in the journal
M. Yu. Sokolova, D. V. Khristich, E. V. Artyukh Reversal of the relationship between stresses and strains in the Murnaghan model // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2022. № 3(53). p. 52-62
Author(s):
M. Yu. Sokolova, D. V. Khristich, E. V. Artyukh
Index of UDK:
539.3
DOI:
10.37972/chgpu.2022.53.3.006
Title:
Reversal of the relationship between stresses and strains in the Murnaghan model
On the basis of thermodynamic relations, the relationship between elasticity tensors and elastic compliance tensors of the fourth and sixth ranks for an isotropic material is obtained. This made it possible to invert the nonlinear relationship between stresses and deformations in the particular case of a hyperelastic isotropic material using the Murnaghan potential. Using the Ertalon polymer as an example, an assessment of the deformation range in which the obtained inversion is correct was carried out.
The contact details of authors:
Sokolova Marina Yurievna Dr. Sci. Phys. & Math., Professor, Tula State University, Tula, Russia. Khristich Dmitrii Viktorovich Dr. Sci. Phys. & Math., Professor, Tula State University, Tula, Russia.
Artyukh Ekaterina Viktorovna Cand. Sci. Phys. & Math., Assistant Professor, Tula State University, Tula, Russia.
Russian
English