Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section

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HALILOVIČ, Miroslav ;ŠTOK, Boris .
Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 53, n.12, p. 806-818, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/analytical-tracing-of-the-evolution-of-the-elasto-plastic-state-during-the-bending-of-beams-with-a-rectangular-cross-section/>. Date accessed: 15 sep. 2019. 
doi:http://dx.doi.org/.
Halilovič, M., & Štok, B.
(2007).
Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section.
Strojniški vestnik - Journal of Mechanical Engineering, 53(12), 806-818.
doi:http://dx.doi.org/
@article{.,
	author = {Miroslav  Halilovič and Boris  Štok},
	title = {Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {53},
	number = {12},
	year = {2007},
	keywords = {beams; elastioplastic analysis; analytic functions; beam collapse; },
	abstract = {The deflection analysis of beams with rectangular cross-sections is considered under specific loading conditions and assuming elasto-plastic behaviour with no hardening. Within the framework of the small-strain and small-displacement approach, analytical solutions are derived that enable the elasto-plastic analyses of beams to be performed in a closed analytical form. As a consequence, clear tracing of the evolution of the elasto-plastic response with a propagation of the plastic zone through the solid body, i.e., its spreading along the beam's longitudinal axis as well as its penetration through the cross-section, is enabled as loads increase, from the appearance of a first plastic yielding in the structure until its collapse.  },
	issn = {0039-2480},	pages = {806-818},	doi = {},
	url = {https://www.sv-jme.eu/article/analytical-tracing-of-the-evolution-of-the-elasto-plastic-state-during-the-bending-of-beams-with-a-rectangular-cross-section/}
}
Halilovič, M.,Štok, B.
2007 August 53. Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 53:12
%A Halilovič, Miroslav 
%A Štok, Boris 
%D 2007
%T Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section
%B 2007
%9 beams; elastioplastic analysis; analytic functions; beam collapse; 
%! Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section
%K beams; elastioplastic analysis; analytic functions; beam collapse; 
%X The deflection analysis of beams with rectangular cross-sections is considered under specific loading conditions and assuming elasto-plastic behaviour with no hardening. Within the framework of the small-strain and small-displacement approach, analytical solutions are derived that enable the elasto-plastic analyses of beams to be performed in a closed analytical form. As a consequence, clear tracing of the evolution of the elasto-plastic response with a propagation of the plastic zone through the solid body, i.e., its spreading along the beam's longitudinal axis as well as its penetration through the cross-section, is enabled as loads increase, from the appearance of a first plastic yielding in the structure until its collapse.  
%U https://www.sv-jme.eu/article/analytical-tracing-of-the-evolution-of-the-elasto-plastic-state-during-the-bending-of-beams-with-a-rectangular-cross-section/
%0 Journal Article
%R 
%& 806
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 53
%N 12
%@ 0039-2480
%8 2017-08-18
%7 2017-08-18
Halilovič, Miroslav, & Boris  Štok.
"Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section." Strojniški vestnik - Journal of Mechanical Engineering [Online], 53.12 (2007): 806-818. Web.  15 Sep. 2019
TY  - JOUR
AU  - Halilovič, Miroslav 
AU  - Štok, Boris 
PY  - 2007
TI  - Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - beams; elastioplastic analysis; analytic functions; beam collapse; 
N2  - The deflection analysis of beams with rectangular cross-sections is considered under specific loading conditions and assuming elasto-plastic behaviour with no hardening. Within the framework of the small-strain and small-displacement approach, analytical solutions are derived that enable the elasto-plastic analyses of beams to be performed in a closed analytical form. As a consequence, clear tracing of the evolution of the elasto-plastic response with a propagation of the plastic zone through the solid body, i.e., its spreading along the beam's longitudinal axis as well as its penetration through the cross-section, is enabled as loads increase, from the appearance of a first plastic yielding in the structure until its collapse.  
UR  - https://www.sv-jme.eu/article/analytical-tracing-of-the-evolution-of-the-elasto-plastic-state-during-the-bending-of-beams-with-a-rectangular-cross-section/
@article{{}{.},
	author = {Halilovič, M., Štok, B.},
	title = {Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {53},
	number = {12},
	year = {2007},
	doi = {},
	url = {https://www.sv-jme.eu/article/analytical-tracing-of-the-evolution-of-the-elasto-plastic-state-during-the-bending-of-beams-with-a-rectangular-cross-section/}
}
TY  - JOUR
AU  - Halilovič, Miroslav 
AU  - Štok, Boris 
PY  - 2017/08/18
TI  - Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 53, No 12 (2007): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - beams, elastioplastic analysis, analytic functions, beam collapse, 
N2  - The deflection analysis of beams with rectangular cross-sections is considered under specific loading conditions and assuming elasto-plastic behaviour with no hardening. Within the framework of the small-strain and small-displacement approach, analytical solutions are derived that enable the elasto-plastic analyses of beams to be performed in a closed analytical form. As a consequence, clear tracing of the evolution of the elasto-plastic response with a propagation of the plastic zone through the solid body, i.e., its spreading along the beam's longitudinal axis as well as its penetration through the cross-section, is enabled as loads increase, from the appearance of a first plastic yielding in the structure until its collapse.  
UR  - https://www.sv-jme.eu/article/analytical-tracing-of-the-evolution-of-the-elasto-plastic-state-during-the-bending-of-beams-with-a-rectangular-cross-section/
Halilovič, Miroslav, AND Štok, Boris.
"Analytical tracing of the evolution of the elasto-plastic state during the bending of beams with a rectangular cross-section" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 53 Number 12 (18 August 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 53(2007)12, 806-818

The deflection analysis of beams with rectangular cross-sections is considered under specific loading conditions and assuming elasto-plastic behaviour with no hardening. Within the framework of the small-strain and small-displacement approach, analytical solutions are derived that enable the elasto-plastic analyses of beams to be performed in a closed analytical form. As a consequence, clear tracing of the evolution of the elasto-plastic response with a propagation of the plastic zone through the solid body, i.e., its spreading along the beam's longitudinal axis as well as its penetration through the cross-section, is enabled as loads increase, from the appearance of a first plastic yielding in the structure until its collapse.  

beams; elastioplastic analysis; analytic functions; beam collapse;