Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model

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BREMEC, Boštjan ;KOSEL, Franc .
Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 47, n.9, p. 554-565, july 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/buckling-of-a-circular-annular-plate-in-the-elastic-plastic-region-an-elastic-linear-hardening-rheological-model/>. Date accessed: 01 dec. 2024. 
doi:http://dx.doi.org/.
Bremec, B., & Kosel, F.
(2001).
Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model.
Strojniški vestnik - Journal of Mechanical Engineering, 47(9), 554-565.
doi:http://dx.doi.org/
@article{.,
	author = {Boštjan  Bremec and Franc  Kosel},
	title = {Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {47},
	number = {9},
	year = {2001},
	keywords = {circular annular plates; buckling processes; elastic-plastic regions; rheological models; },
	abstract = {This paper treats the buckling problem of a circular annular plate where the unstable state and the buckling process occur when the stress state at the most loaded points of the plate is already in the elasticplastic region. We analysed the cases with axisymmetric loads, the stress state and the supports of the plate. The outer and inner edges of the annulus were supported (clamped or simply supported) or free, and loaded with constant pressures pn and pz in an arbitrary ratio. With the use of the equilibrium method the buckling loads were calculated for different ratia of the inner and outer radii a/b. It is supposed that the plate buckles axisymmetrically (spherically m=0) or non-axiasymmetrically with m>0 waves in the circumferential direction. The results show the influence of the material-hardening coefficient f on the buckling load. A comparison between calculations with a consideration of finite and incremental stress-strain relations is given.},
	issn = {0039-2480},	pages = {554-565},	doi = {},
	url = {https://www.sv-jme.eu/article/buckling-of-a-circular-annular-plate-in-the-elastic-plastic-region-an-elastic-linear-hardening-rheological-model/}
}
Bremec, B.,Kosel, F.
2001 July 47. Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 47:9
%A Bremec, Boštjan 
%A Kosel, Franc 
%D 2001
%T Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model
%B 2001
%9 circular annular plates; buckling processes; elastic-plastic regions; rheological models; 
%! Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model
%K circular annular plates; buckling processes; elastic-plastic regions; rheological models; 
%X This paper treats the buckling problem of a circular annular plate where the unstable state and the buckling process occur when the stress state at the most loaded points of the plate is already in the elasticplastic region. We analysed the cases with axisymmetric loads, the stress state and the supports of the plate. The outer and inner edges of the annulus were supported (clamped or simply supported) or free, and loaded with constant pressures pn and pz in an arbitrary ratio. With the use of the equilibrium method the buckling loads were calculated for different ratia of the inner and outer radii a/b. It is supposed that the plate buckles axisymmetrically (spherically m=0) or non-axiasymmetrically with m>0 waves in the circumferential direction. The results show the influence of the material-hardening coefficient f on the buckling load. A comparison between calculations with a consideration of finite and incremental stress-strain relations is given.
%U https://www.sv-jme.eu/article/buckling-of-a-circular-annular-plate-in-the-elastic-plastic-region-an-elastic-linear-hardening-rheological-model/
%0 Journal Article
%R 
%& 554
%P 12
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 47
%N 9
%@ 0039-2480
%8 2017-07-07
%7 2017-07-07
Bremec, Boštjan, & Franc  Kosel.
"Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model." Strojniški vestnik - Journal of Mechanical Engineering [Online], 47.9 (2001): 554-565. Web.  01 Dec. 2024
TY  - JOUR
AU  - Bremec, Boštjan 
AU  - Kosel, Franc 
PY  - 2001
TI  - Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - circular annular plates; buckling processes; elastic-plastic regions; rheological models; 
N2  - This paper treats the buckling problem of a circular annular plate where the unstable state and the buckling process occur when the stress state at the most loaded points of the plate is already in the elasticplastic region. We analysed the cases with axisymmetric loads, the stress state and the supports of the plate. The outer and inner edges of the annulus were supported (clamped or simply supported) or free, and loaded with constant pressures pn and pz in an arbitrary ratio. With the use of the equilibrium method the buckling loads were calculated for different ratia of the inner and outer radii a/b. It is supposed that the plate buckles axisymmetrically (spherically m=0) or non-axiasymmetrically with m>0 waves in the circumferential direction. The results show the influence of the material-hardening coefficient f on the buckling load. A comparison between calculations with a consideration of finite and incremental stress-strain relations is given.
UR  - https://www.sv-jme.eu/article/buckling-of-a-circular-annular-plate-in-the-elastic-plastic-region-an-elastic-linear-hardening-rheological-model/
@article{{}{.},
	author = {Bremec, B., Kosel, F.},
	title = {Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {47},
	number = {9},
	year = {2001},
	doi = {},
	url = {https://www.sv-jme.eu/article/buckling-of-a-circular-annular-plate-in-the-elastic-plastic-region-an-elastic-linear-hardening-rheological-model/}
}
TY  - JOUR
AU  - Bremec, Boštjan 
AU  - Kosel, Franc 
PY  - 2017/07/07
TI  - Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 47, No 9 (2001): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - circular annular plates, buckling processes, elastic-plastic regions, rheological models, 
N2  - This paper treats the buckling problem of a circular annular plate where the unstable state and the buckling process occur when the stress state at the most loaded points of the plate is already in the elasticplastic region. We analysed the cases with axisymmetric loads, the stress state and the supports of the plate. The outer and inner edges of the annulus were supported (clamped or simply supported) or free, and loaded with constant pressures pn and pz in an arbitrary ratio. With the use of the equilibrium method the buckling loads were calculated for different ratia of the inner and outer radii a/b. It is supposed that the plate buckles axisymmetrically (spherically m=0) or non-axiasymmetrically with m>0 waves in the circumferential direction. The results show the influence of the material-hardening coefficient f on the buckling load. A comparison between calculations with a consideration of finite and incremental stress-strain relations is given.
UR  - https://www.sv-jme.eu/article/buckling-of-a-circular-annular-plate-in-the-elastic-plastic-region-an-elastic-linear-hardening-rheological-model/
Bremec, Boštjan, AND Kosel, Franc.
"Buckling of a Circular Annular Plate in the Elastic-Plastic Region: an Elastic Linear Hardening Rheological Model" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 47 Number 9 (07 July 2017)

Authors

Affiliations

  • University of Ljubljana, Faculty of Mechanical Engineering, Slovenia
  • University of Ljubljana, Faculty of Mechanical Engineering, Slovenia

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 47(2001)9, 554-565
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

This paper treats the buckling problem of a circular annular plate where the unstable state and the buckling process occur when the stress state at the most loaded points of the plate is already in the elasticplastic region. We analysed the cases with axisymmetric loads, the stress state and the supports of the plate. The outer and inner edges of the annulus were supported (clamped or simply supported) or free, and loaded with constant pressures pn and pz in an arbitrary ratio. With the use of the equilibrium method the buckling loads were calculated for different ratia of the inner and outer radii a/b. It is supposed that the plate buckles axisymmetrically (spherically m=0) or non-axiasymmetrically with m>0 waves in the circumferential direction. The results show the influence of the material-hardening coefficient f on the buckling load. A comparison between calculations with a consideration of finite and incremental stress-strain relations is given.

circular annular plates; buckling processes; elastic-plastic regions; rheological models;