| Keywords: | finite deformations, Hencky tensor, Hencky-Murnaghan model, indentation, conical indenter, constitutive relations, finite element method.
|
| Abstracts: | In this paper, we investigate the behavior of an elastomer when interacting with a rigid punch, the top of which is cone-shaped. Hencky’s material model and its generalization to describe the physically nonlinear response are used as the constitutive relations. The results of the numerical solution are compared with the curves obtained from considering the problem in the framework of a linear model using the Hertz theory. The works [10, 11] show the fundamental possibility of determining the parameters of the hyperelasticity model based on the HenckyMurnaghan constitutive relations from experiments on indentation with a spherical stamp. The results obtained in this work can be used to construct a method for determining the parameters of a nonlinear elastic model from experiments on indentation with a conical stamp.
|
| The contact details of authors: | Astapov Iurii Vladimirovich e-mail: ast3x3@gmail.com, postgraduate student, Tula State Univercity, Tula, Russia.
Sokolova Marina Iurevna e-mail: m.u.sokolova@gmail.com, Dr. Sci. Phys. & Math., Professor, Tula State University, Tula, Russia.
Khristich Dmitrii Viktorovich e-mail: dmitrykhristich@rambler.ru, Dr. Sci. Phys. & Math., Professor, Tula State University, Tula, Russia.
|
Russian
English