The Corner Singularity of Composite Bars in Torsion

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Izvoz citacije: ABNT
MEJAK, George .
The Corner Singularity of Composite Bars in Torsion. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 48, n.11, p. 571-579, july 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/the-corner-singularity-of-composite-bars-in-torsion/>. Date accessed: 22 nov. 2019. 
doi:http://dx.doi.org/.
Mejak, G.
(2002).
The Corner Singularity of Composite Bars in Torsion.
Strojniški vestnik - Journal of Mechanical Engineering, 48(11), 571-579.
doi:http://dx.doi.org/
@article{.,
	author = {George  Mejak},
	title = {The Corner Singularity of Composite Bars in Torsion},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {48},
	number = {11},
	year = {2002},
	keywords = {composite; bars; modelling problems; singularity analysis; },
	abstract = {The material matrix of composite materials is constant for each individual component. This discontinuity sets regularity bounds upon the solution. Besides material discontinuities, the regularity of the solution is also affected by geometrical singularities along the material interfaces. If the interface has corners, we speak about corner singularities of the composite. Mechanical manifestations of these singularities are stress concentrations. One of the most important pieces of information about the corner singularity is the order of the singularity. In this article a method for determining the order of the singularity for the model problem of a composite bar in torsion is presented. In the first part a model of torsion for a composite bar with perfect and imperfect bonds is given. For a perfect interfacial bond the existence of the corner stress concentration is proved by the asymptotical method. The order of the singularity with respect to the angle of the corner and the material constants is explicitly computed. It is found that the order is independent of the material orientation in the corner. For the case of an imperfect bond the existence of the stress concentration is established for a weak bond. The existence is proved by the regular asymptotic perturbation of the nomaterial adhesion.},
	issn = {0039-2480},	pages = {571-579},	doi = {},
	url = {https://www.sv-jme.eu/sl/article/the-corner-singularity-of-composite-bars-in-torsion/}
}
Mejak, G.
2002 July 48. The Corner Singularity of Composite Bars in Torsion. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 48:11
%A Mejak, George 
%D 2002
%T The Corner Singularity of Composite Bars in Torsion
%B 2002
%9 composite; bars; modelling problems; singularity analysis; 
%! The Corner Singularity of Composite Bars in Torsion
%K composite; bars; modelling problems; singularity analysis; 
%X The material matrix of composite materials is constant for each individual component. This discontinuity sets regularity bounds upon the solution. Besides material discontinuities, the regularity of the solution is also affected by geometrical singularities along the material interfaces. If the interface has corners, we speak about corner singularities of the composite. Mechanical manifestations of these singularities are stress concentrations. One of the most important pieces of information about the corner singularity is the order of the singularity. In this article a method for determining the order of the singularity for the model problem of a composite bar in torsion is presented. In the first part a model of torsion for a composite bar with perfect and imperfect bonds is given. For a perfect interfacial bond the existence of the corner stress concentration is proved by the asymptotical method. The order of the singularity with respect to the angle of the corner and the material constants is explicitly computed. It is found that the order is independent of the material orientation in the corner. For the case of an imperfect bond the existence of the stress concentration is established for a weak bond. The existence is proved by the regular asymptotic perturbation of the nomaterial adhesion.
%U https://www.sv-jme.eu/sl/article/the-corner-singularity-of-composite-bars-in-torsion/
%0 Journal Article
%R 
%& 571
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 48
%N 11
%@ 0039-2480
%8 2017-07-07
%7 2017-07-07
Mejak, George.
"The Corner Singularity of Composite Bars in Torsion." Strojniški vestnik - Journal of Mechanical Engineering [Online], 48.11 (2002): 571-579. Web.  22 Nov. 2019
TY  - JOUR
AU  - Mejak, George 
PY  - 2002
TI  - The Corner Singularity of Composite Bars in Torsion
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - composite; bars; modelling problems; singularity analysis; 
N2  - The material matrix of composite materials is constant for each individual component. This discontinuity sets regularity bounds upon the solution. Besides material discontinuities, the regularity of the solution is also affected by geometrical singularities along the material interfaces. If the interface has corners, we speak about corner singularities of the composite. Mechanical manifestations of these singularities are stress concentrations. One of the most important pieces of information about the corner singularity is the order of the singularity. In this article a method for determining the order of the singularity for the model problem of a composite bar in torsion is presented. In the first part a model of torsion for a composite bar with perfect and imperfect bonds is given. For a perfect interfacial bond the existence of the corner stress concentration is proved by the asymptotical method. The order of the singularity with respect to the angle of the corner and the material constants is explicitly computed. It is found that the order is independent of the material orientation in the corner. For the case of an imperfect bond the existence of the stress concentration is established for a weak bond. The existence is proved by the regular asymptotic perturbation of the nomaterial adhesion.
UR  - https://www.sv-jme.eu/sl/article/the-corner-singularity-of-composite-bars-in-torsion/
@article{{}{.},
	author = {Mejak, G.},
	title = {The Corner Singularity of Composite Bars in Torsion},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {48},
	number = {11},
	year = {2002},
	doi = {},
	url = {https://www.sv-jme.eu/sl/article/the-corner-singularity-of-composite-bars-in-torsion/}
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TY  - JOUR
AU  - Mejak, George 
PY  - 2017/07/07
TI  - The Corner Singularity of Composite Bars in Torsion
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 48, No 11 (2002): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - composite, bars, modelling problems, singularity analysis, 
N2  - The material matrix of composite materials is constant for each individual component. This discontinuity sets regularity bounds upon the solution. Besides material discontinuities, the regularity of the solution is also affected by geometrical singularities along the material interfaces. If the interface has corners, we speak about corner singularities of the composite. Mechanical manifestations of these singularities are stress concentrations. One of the most important pieces of information about the corner singularity is the order of the singularity. In this article a method for determining the order of the singularity for the model problem of a composite bar in torsion is presented. In the first part a model of torsion for a composite bar with perfect and imperfect bonds is given. For a perfect interfacial bond the existence of the corner stress concentration is proved by the asymptotical method. The order of the singularity with respect to the angle of the corner and the material constants is explicitly computed. It is found that the order is independent of the material orientation in the corner. For the case of an imperfect bond the existence of the stress concentration is established for a weak bond. The existence is proved by the regular asymptotic perturbation of the nomaterial adhesion.
UR  - https://www.sv-jme.eu/sl/article/the-corner-singularity-of-composite-bars-in-torsion/
Mejak, George"The Corner Singularity of Composite Bars in Torsion" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 48 Number 11 (07 July 2017)

Avtorji

Inštitucije

  • University of Ljubljana, Faculty of Mathematics and Physics, Department of Mathematics, Ljubljana, Slovenija

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 48(2002)11, 571-579

The material matrix of composite materials is constant for each individual component. This discontinuity sets regularity bounds upon the solution. Besides material discontinuities, the regularity of the solution is also affected by geometrical singularities along the material interfaces. If the interface has corners, we speak about corner singularities of the composite. Mechanical manifestations of these singularities are stress concentrations. One of the most important pieces of information about the corner singularity is the order of the singularity. In this article a method for determining the order of the singularity for the model problem of a composite bar in torsion is presented. In the first part a model of torsion for a composite bar with perfect and imperfect bonds is given. For a perfect interfacial bond the existence of the corner stress concentration is proved by the asymptotical method. The order of the singularity with respect to the angle of the corner and the material constants is explicitly computed. It is found that the order is independent of the material orientation in the corner. For the case of an imperfect bond the existence of the stress concentration is established for a weak bond. The existence is proved by the regular asymptotic perturbation of the nomaterial adhesion.

composite; bars; modelling problems; singularity analysis;