Metadata (abstracts and keywords) for the articles in the journal
Treschev A.A., Besstrashnov D.O. 3-D model of deformation of an orthotropic open shell made of a material with imperfect elasticity // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2025. № 3(65). p. 231-245
Author(s):
Treschev A.A., Besstrashnov D.O.
Index of UDK:
539.3:624.073
DOI:
10.37972/chgpu.2025.65.3.013
Title:
3-D model of deformation of an orthotropic open shell made of a material with imperfect elasticity
A 3-D finite element model of deformation of an open circular cylindrical shell, which does not belong to the class of thin or medium-thick structures, is presented. The support is assumed to be of the type of rigid pinching by the formers. The model is free from technical hypotheses used in the calculation of shell structures. Therefore, the mathematical model for determining the stress-strain state of a thick-walled shell is based on a nonlinear three-dimensional approach. The developed model takes into account the structural specifics of structural materials, such as orthotropic composites with varying stiffness parameters when the kind of stress state changes, which can be characterized as induced mechanical heterogeneity of the structure. This fact complicates the specific calculations of structures. In this regard, the volumetric ten-node isoparametric finite elements in the form of a tetrahedron with three degrees of freedom at the node were transformed in the computational model. Correct consideration of the deformation properties of the orthotropic structure of a composite with imperfect elasticity was achieved by using the energy coupling of strain and stress tensors, formulated in the components of the normalized space in the main axes of the orthotropy of the material. To solve the general nonlinear problem, the method of variable elasticity parameters was used. The process of implementing the developed model made it possible to obtain information about all the characteristics of shell deformation in full, the main of which are given and analyzed in this article.
The contact details of authors:
Alexander A. Treschev, Doctor of Technical Sciences, Professor; e-mail: taa58@yandex.ru; AuthorID: 453902
Dmitry O. Besstrashnov, Assistant; e-mail: mr.D-Best@yandex.ru; AuthorID: 1221273