Axially symmetric elasticity problems for the hollow cylinder with the stress-free ends. Analytical solving via a variational method of homogeneous solutions-Reference-Cited by-同舟云学术

Axially symmetric elasticity problems for the hollow cylinder with the stress-free ends. Analytical solving via a variational method of homogeneous solutions

Published:2020 Issue:1 Volume:7 Page:48-63
ISSN:2312-9794
Container-title:Mathematical Modeling and Computing
language:
Short-container-title:Math. Model. Comput.

Author:

Chekurin V. F., ,Postolaki L. I., ,

Publisher

Lviv Polytechnic National University

Subject

Computational Theory and Mathematics,Computational Mathematics

Reference28 articles.

1. Collin F., Caillerie D., Chambon R. Analytical solutions for the thick-walled cylinder problem modeledwith an isotropic elastic second gradient constitutive equation. International Journal of Solids and Structures. 46 (22-23), 3927-3937 (2009).

2. Zang W. The Elastic Solution of a Radial Heterogeneous Cylinder Subjected to Non-Uniform Distributed Normal and Tangential Loads. Mathematical Problems in Engineering. 2018, Article ID 9230609, 8 p. (2018).

3. Chatzigeorgiou G., Charalambakis N., Murat F. Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties. International Journal of Solids and Structures. 45 (18-19), 5165-5180 (2008).

4. Theotokoglou E. E., Stampouloglou I. H. The radially nonhomogeneous elastic axisymmentric problem. International Journal of Solids and Structures. 45 (25-26), 6535-6552 (2008).

5. Avci A., Bulu A., Yapici A. Axisymmetric smooth contact for an elastic isotropic infinite hollow cylinder compressed by an outer rigid ring with circular profile. Acta Mechanica Sinica. 22 (1), 46-53 (2006).

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analytical Solution to Transversely Isotropic Hollow Cylinder under Axisymmetric Surface Loading Using Variational Principle;Journal of Engineering Mechanics;2024-06

2. Analysis of axisymmetric hollow cylinder under surface loading using variational principle;Mathematics and Mechanics of Solids;2024-01-12

3. Stress state modeling of non-circular orthotropic hollow cylinders under different types of loading;Mathematical Modeling and Computing;2024

4. Application of the Variational Method of Homogeneous Solutions in the Axisymmetric Problem of the Theory of Elasticity for a Finite Cylinder with Regard for Its Own Weight;Journal of Mathematical Sciences;2023-11

5. Identification of force loadings on the inner circumference of a finite‐length elastic cylinder;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2023-07-17