Fracture and Structural Integrity e-ISSN 1971-8993 Open access
SI: Russian mechanics contributions for Structural Integrity Vol. 13, No. 49 (2019)

Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity

Author and affiliation details
  • Tatyana Korepanova Corresponding author Perm Military Institute of the National Guard Troops of the Russian Federation, Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science (ICMM UB RAS) ton@icmm.ru
  • Valerii Matveenko Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science
  • Igor Shardakov Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science
DOI
10.3221/IGF-ESIS.49.23
Pages
225-242
Published
Published inVol. 13, No. 49 (2019)Go to the issue

Abstract

A complete set of eigensolutions is constructed for different variants of circular conical bodies: homogeneous cone with one lateral surface (solid cone), homogeneous cone with two lateral surfaces (hollow cone) and composite cone for different variants of boundary conditions on the lateral surface. It has been shown that the constructed eigensolutions can be readily applied for estimation of the character of stress singularity at the vertices of conical bodies. The character of stress singularity at the vertex of the solid and hollow cones for different variants of boundary conditions on the lateral surfaces has been defined by direct numerical simulations. Numerical results obtained for solid, hollow and compose cones under different boundary conditions on the lateral surfaces are discussed.

Keywords

Article history

  1. ReceivedUntil the next stage: 27 days
  2. Revision requestedUntil the next stage: 4 days
  3. RevisedUntil the next stage: 6 days
  4. AcceptedUntil the next stage: 7 days
  5. Published

How to cite

APA

Korepanova, T., Matveenko, V., & Shardakov, I. (2019). Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity. Fracture and Structural Integrity, 13(49), 225–242. https://doi.org/10.3221/IGF-ESIS.49.23

IEEE

T. Korepanova, V. Matveenko, and I. Shardakov, “Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity,” Fracture and Structural Integrity, vol. 13, no. 49, pp. 225–242, 2019, doi: 10.3221/IGF-ESIS.49.23.

MLA

Korepanova, Tatyana, et al. “Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity.” Fracture and Structural Integrity, vol. 13, no. 49, 2019, pp. 225–242. https://doi.org/10.3221/IGF-ESIS.49.23.

Chicago

Korepanova, Tatyana, Valerii Matveenko, and Igor Shardakov. 2019. “Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity.” Fracture and Structural Integrity 13 (49): 225–242. https://doi.org/10.3221/IGF-ESIS.49.23.

Harvard

Korepanova, T., Matveenko, V. and Shardakov, I. (2019) ‘Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity’, Fracture and Structural Integrity, 13(49), pp. 225–242. doi: 10.3221/IGF-ESIS.49.23.

Vancouver

Korepanova T, Matveenko V, Shardakov I. Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity. Fracture and Structural Integrity. 2019;13(49):225-242. doi:10.3221/IGF-ESIS.49.23

BibTeX

@article{korepanova2019, author = {Korepanova, Tatyana and Matveenko, Valerii and Shardakov, Igor}, title = {Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity}, journal = {Fracture and Structural Integrity}, year = {2019}, volume = {13}, number = {49}, pages = {225--242}, doi = {10.3221/IGF-ESIS.49.23}, url = {https://doi.org/10.3221/IGF-ESIS.49.23}, issn = {1971-8993} }

RIS

TY - JOUR AU - Korepanova, Tatyana AU - Matveenko, Valerii AU - Shardakov, Igor TI - Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2019 DA - 2019/05/31 VL - 13 IS - 49 SP - 225 EP - 242 DO - 10.3221/IGF-ESIS.49.23 UR - https://doi.org/10.3221/IGF-ESIS.49.23 SN - 1971-8993 ER -

Licence

Copyright © 2019 Tatyana Korepanova, Valerii Matveenko, Igor Shardakov.

Copyright 
Authors are allowed to retain both the copyright and the publishing rights of their articles without restrictions.  

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