An effect of the slope layer in sheet sample on a strength for negative coefficient of a biaxial loading factor of a sample
Journal of computational and engineering mathematics, Tome 3 (2016) no. 1, pp. 27-36.

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate a critical state of the slope layer of less durable material in sheet sample by the loadings having opposite signs. It is shown that if there is no contact hardening of layer material, then a destruction occurs on the layer, independent of its slope angle. Using numerical experiments, we investigate a dependence of a sample strength from the slope angle of the layer for different relations between the external loads. We show that if there is a contact hardening of the layer, then a sample, containing less stable layer, may be equal in strength to a homogeneous sample for certain angles of layer slope.
Keywords: slope plastic layer, plastic instability, strain-deformation state, Swift criterion.
@article{JCEM_2016_3_1_a3,
     author = {A. N. Dheyab},
     title = {An effect of the slope layer in sheet sample on a strength for negative coefficient of a biaxial loading factor of a sample},
     journal = {Journal of computational and engineering mathematics},
     pages = {27--36},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a3/}
}
TY  - JOUR
AU  - A. N. Dheyab
TI  - An effect of the slope layer in sheet sample on a strength for negative coefficient of a biaxial loading factor of a sample
JO  - Journal of computational and engineering mathematics
PY  - 2016
SP  - 27
EP  - 36
VL  - 3
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a3/
LA  - en
ID  - JCEM_2016_3_1_a3
ER  - 
%0 Journal Article
%A A. N. Dheyab
%T An effect of the slope layer in sheet sample on a strength for negative coefficient of a biaxial loading factor of a sample
%J Journal of computational and engineering mathematics
%D 2016
%P 27-36
%V 3
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a3/
%G en
%F JCEM_2016_3_1_a3
A. N. Dheyab. An effect of the slope layer in sheet sample on a strength for negative coefficient of a biaxial loading factor of a sample. Journal of computational and engineering mathematics, Tome 3 (2016) no. 1, pp. 27-36. http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a3/

[1] G. I. Kovalchuk, “On the Issue of the Loss of Stability of the Plastic Deformation of Shells”, Strength Problems, 1983, no. 5, 11-16

[2] V. L. Dilman, A. A. Ostsemin, “On an Influence of Biaxial Loading on the Bearing Capacity of the Main Tubes of Gas and Oil Pipelines”, Math. Russian Academy of Sciences Mechanics of Rigid Body, 2000, no. 5, 179-185

[3] V. L. Dilman, A. A. Ostsemin, “Calculation of Test Pressure for Arterialpipelines”, Chemical and Petroleum Engineering, 39:39 (2003), 16-22

[4] V. L. Dilman, “Plastic Resistance of Thin-Walled Cylindrical Shells”, Math. Russian Academy of Sciences. Mechanics of Rigid Body, 2005, no. 4, 165-175

[5] V. L. Dilman, Mathematical Models of Non-uniform Strain State of Thin-Walled Cylindrical Shells, Publishing center of SUSU, Chelyabinsk, 2007

[6] V. L. Dilman, “A Study of Mathematical Models of Strain State of Thin-Walled Non-Uniform Cylindrical Shells by Analytical Methods”, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 3:17 (150) (2009), 36-58 | Zbl

[7] V. L. Dilman, T. V. Eroshkina, Mathematical Modeling of the Critical States of Soft Layers in Heterogeneous Connections, Publishing center of SUSU, Chelyabinsk, 2011

[8] V. L. Dilman, A. A. Ostsemin, “Bearing capacity of large-diameter helical-seam pipes”, Chemical and Petroleum Engineering, 38:5-6 (2002), 326-333 | DOI

[9] V. L. Dilman, A. A. Ostsemin, “Evaluation of Equal Strength of Slope Soft Layers of Sheet Structures and Tubes”, Chemical and Petroleum Engineering, 2002, no. 10, 12-16

[10] V. L. Dilman, “Numerical Analysis of the Critical Pressure in a Thin-Walled Cylindrical Shell Containing a Soft Layer”, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 35:17(234) (2011), 29-35

[11] V. L. Dilman, T.V. Karpeta, “Critical State of a Thin-Walled Cylindrical Shell Containing an Interlayer Fabricated from a Material of Lesser Strength”, Chemical and Petroleum Engineering, 49:9-10 (2014), 668-674 | DOI

[12] L. M. Kachanov, “On the Strained State of the Plastic Interlayer”, Math. USSR Academy of Sciences. Dep. Techn. Sciences. Mechanics and Mechanical Engineering, 1962, no. 5, 63–67 | Zbl

[13] V. L. Dilman, A. A. Ostsemin, “Stress State and the Static Strength of Plastic Layer for the Plane Strain”, Problems of Mechanical Engineering and Machine Reliability, 2005, no. 4, 38-48

[14] V. L. Dilman, T. V. Eroshkina, “Stress State of the Soft Layer of Longitudinal, Having Cross-Section in the Shape of a Ring Sector, in the Thin-Walled Cylindrical Shell”, Review of Applied and Ind. mathematics, 13:4 (2006)

[15] V. L. Dilman, “Stress State and Strength of an Inhomogeneous Plastic Strip with a Defect in a Stronger Part”, Mechanics of Solids, 45(2) (2010), 226-237 | DOI

[16] A. I. Nosacheva, V. L. Dilman, “Analysis of the Stress State of an Inhomogeneous Strip with Oblique Contact Boundary and Macroscopic Defects in its Stronger Part”, Review of Applied and Ind. mathematics, 19:2 (2012), 273-274

[17] A. I. Nosacheva, V. L. Dilman, “Analysis of Stress-Strain State of Inhomogeneous Plastic Strip”, Bulletin of SUSU, Series: Mathematics, Mechanics, Physics, 7:34(293) (2012), 11-16

[18] A. I. Nosacheva, V. L. Dilman, “Numerical Analysis of Stress on an Slope Contact Surface under Tension of Discrete Inhomogeneous Solid”, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 14:40(299) (2012), 164-168

[19] V. L. Dilman, T. V. Karpeta, “The Stress State of a Plastic Layer with a Variable Yield Strength under a Flat Deformation”, Russian Mathematics, 57:8 (2013), 29-36. | DOI | MR | Zbl

[20] V. L. Dilman, A. N. Dheyab, “A Strain State of Band Having Interlayer for Significant Mechanical Heterogeneity”, Bulletin of SUSU. Series: Mathematics, Mechanics, Physics, 7:4 (2015), 11-19 | Zbl

[21] V. L. Dilman, A. N. Dheyab, “The Critical State of an Incline Layer in Sheet Specimen with Negative Loading Biaxiality Coefficient”, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 9:1 (2016), 123-129 | Zbl

[22] A. N. Dheyab, “Deformation State of the Plastic Layer in Compression without Slipping”, New Research: Strategies and Development Vector, Proceedings of Internat. Scient.-Pract. Conf. in 2 parts (Sterlitamak, 19 November 2015), RIC AMI, Sterlitamak, 2015, 123-129