Study of the stress state in composite plate near the connecting line edge depending on the thickness and material parameters of the connecting interlayer

Abstract


The plane-stress state in the vicinity of singular point, in a plate composed of two identical elements with interlayer such as glue is studied. The purpose of this study is determining characteristics of this solid mechanics problem and influence of material properties and interlayer thickness on stress concentration near the edge of the combining the elements (at the singular point ). Analytical estimation of the restrictions count on the state parameters at the line edge of junction plate element and interlayer is conducted. It is shown that the count of independent restrictions depends on the material properties of the plate elements and is usually redundant (non-standard). Standard restrictions count is only an exceptional case, when certain combinations of plate elements material parameters take place. In this particular case the solution is named as a “ basic-solution ”. For considered case of stress-strained plate basic-solution has uniform stress and piecewise-homogeneous strain state solution. With material parameters near the basic-solution the nonstandard problem is considered by iterative numerical-analytical method based on minimizing the residual divergence of all the boundary conditions at the singular point vicinity. A set of stress state problems is calculated. It is shown that the solution is practically independent of the interlayer thickness, but it depends drastically on the material properties of the elements. The more rigid material has the highest value concentration ratio.

About the authors

V M Pestrenin

Perm State National Research University, Perm, Russian Federation

Email: PestreninVM@mail.ru
15, Bukireva str., 614990, Perm, Russian Federation Ph.D. in Physical and Mathematical Sciences, Associate Professor Department Continuum Mechanics and Computational Technologies, Perm State National Research University

I V Pestrenina

Perm State National Research University, Perm, Russian Federation

Email: IPestrenina@gmail.com
15, Bukireva str., 614990, Perm, Russian Federation Ph. D. in Tecnical Sciences, Associate Professor Department Continuum Mechanics and Computational Technologies, Perm State National Research University

L V Landik

Perm State National Research University, Perm, Russian Federation

Email: LidiaLandik@gmail.com
15, Bukireva str., 614990, Perm, Russian Federation Laboratory Head, Department Continuum Mechanics and Computational Technologies, Perm State National Research University

E A Polyanina

Perm State National Research University, Perm, Russian Federation

Email: Katenapolyanina@gmail.com
15, Bukireva str., 614990, Perm, Russian Federation Masters Degree, Department Continuum Mechanics and Computational Technologies, Perm State National Research University

References

  1. Goland M., Reissner E. The Stresses in Cemented Joints, Trans. ASME // Journal of Applied Mechanics. - 1944. - Vol. 11; A17-A27.
  2. Bo Zhao, Zhen-Hua Lu, Yi-Ning Lu. Closed-form solutions for elastic stress-strain analysis in unbalanced adhesive single-lap joints considering adherend deformations and bond thickness // International Journal of Adhesion & Adhesives. - 2011. - Vol. 31. - P. 434-445
  3. Куреннов С.С. Модель двухпараметрического упругого основания в расчете напряженного состояния клеевого соединения [Электронный ресурс] // Труды МАИ. - 2013. - Вып. № 66. - С. 1-7. - URL: www.mai.ru/science/trudy/published.php
  4. Bogy D.B. Two Edge-bonded Elastic Wedges of Different Materials and Wedge Angles under Surface Tractions // Trans. ASME. Ser. E. - 1971. - Vol. 38. - No. 2. - P. 87-96.
  5. Чобанян К.С. Напряжения в составных упругих телах. - Ереван: Изд-во АН АрмССР, 1987. - 338 с.
  6. Аксентян О.К. Особенности напряженно-деформированного состояния плиты в окрестности ребра // Прикладная математика и механика. - 1967. - № 1. - С. 178-186.
  7. Аксентян О.К., Лущик О.Н. Напряженно-деформированное состояние в окрестности вершины стыкового соединения // Прикладная механика. - 1982. - Т. 18, № 7. - С. 66-73.
  8. Sinclear G.B. Stress singularities in classical elasticity -I: Removal, interpretation and analysis // App. Mech. Rev. - 2004. - Vol. 57. - No. 4. - P. 251-297.
  9. Crocombe A.D., Adams R.D. Influence of the spew fillet and other parameters on the stress distribution in the single lap joint // Int. J. Adhes. Adhes. - 1981. - P. 141-155.
  10. Xu L.R., Kuai H., Sengupta S. Dissimilar material joints with and without free-edge stress singularities: Part I. A Biologically Inspired Design // Experimental mechanics. - 2004. - Vol. 44. - No. 6. - P. 608-615.
  11. Xu L.R., Kuai H., Sengupta S. Dissimilar material joints with and without free-edge stress singularities: Part II. An integrated numerical analysis // Experimental mechanics. - 2004. - Vol. 44. - No. 6. - P. 616-621. doi: http://dx.doi.org/10.1007/BF02428251
  12. Матвеенко В.П., Федоров А.Ю. Оптимизация геометрии составных упругих тел как основа совершенствования методик испытаний на прочность клеевых соединений // Вычислительная механика сплошных сред. - 2011. - Т. 4, № 4. - С. 63-70. doi: http://dx.doi.org/10.7242/1999-6691/2011.4.4.40
  13. Barut A., Guven I., Madenci E. Analysis of singular stress fields at junctions of multiple dissimilar materials under mechanical and thermal loading // Int. J. of Solid and Structures. - 2001. - Vol. 38. - No. 50-51. - P. 9077-9109.
  14. Stress analysis and failure properties of carbon-fibre-reinforced-plastic/steel double-lap joints / R.D. Adams, R.W. Atkins, J.A. Harris [et al.] // J. Adhes. - 1986. - Vol. 20. - P. 29-53.
  15. Пестренин В.М., Пестренина И.В., Ландик Л.В. Напряженное состояние вблизи особой точки составной конструкции в плоской задаче // Вестник Том. гос. ун-та. Математика и механика. - 2013. - № 4(10). - С. 78-87.
  16. Пестренин В.М., Пестренина И.В., Ландик Л.В. Нестандартные задачи для однородных элементов конструкций с особенностями в виде клиньев в условиях плоской задачи // Вестник Том. гос. ун-та. Математика и механика. - 2014. - № 1(27). - С. 95-109.

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Copyright (c) 2014 Pestrenin V.M., Pestrenina I.V., Landik L.V., Polyanina E.A.

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