THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

SELF-EQUILIBRATED STRESSES IN THE SYSTEM COMPOSED OF A COVERING LAYER + SPATIALLY LOCALLY CURVED REINFORCING LAYER + HALF-SPACE

ABSTRACT
The system composed of a face covering layer + spatially locally curved substrate reinforcing layer + half-space is taken into consideration. It is presumed that this framework is compressed at infinity by uniformly distributed normal forces and it is required to establish the self-equilibrated normal stresses in that, caused by locally curved of the substrate reinforcing layer. The matching boundary and contact value problem is defined within the scope of 3-D geometrically non-linear exact equations. Formulated problem’s solution is introduced with the series form of small parameter which represents the degree of the aforesaid locally curving. These series’ zeroth and first approximation are ascertained with the utilization of double Fourier transform. The original of values that are searching is ascertained numerically. Corresponding numerical outcomes about the self-equilibrated normal stress caused by this spatially local curving are presented and discussed.
KEYWORDS
PAPER SUBMITTED: 2019-08-10
PAPER REVISED: 2019-10-11
PAPER ACCEPTED: 2019-10-14
PUBLISHED ONLINE: 2019-11-02
DOI REFERENCE: https://doi.org/10.2298/TSCI190810407T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2179 - S2183]
REFERENCES
  1. Rosen, B. W., Mechanics of composite strengthening: Fiber composite materials, American Society of Metals, 1965, pp. 37-75.
  2. Dow, N. F., Gruntfest, I. J., Determination of most needed potentially possible improvements in materials for ballistic and space vehicles, General Electric Co., Space Sci. Lab., TISR 60 SD 389, June, 1960.
  3. Budiansky, B., Fleck, N. A., Compressive kinking of fiber composites: a topical review. Appl. Mech. Rev., Pt.2, 47 (1994), 6, pp. 246-270.
  4. Bowden, N., Brittain, S., Evans, A. G., Hutchinson, J. W., Whitesides, G. M., Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer, Nature, 393 (1998), pp. 146-149.
  5. Huang, R., Suo, Z., Wrinkling of a compressed elastic film on a viscous layer, Journal of Applied Physics, 91 (2002), 3, pp. 1135-1142.
  6. Balint, D. S., Hutchinson, J. W., Undulation instability of a compressed elastic film on a nonlinear creeping substrate, Acta Materialia, 51 (2003), pp. 3965-3983.
  7. Huck, W. T. S., Bowden, N., Onck, P., Pardoen, T., Hutchinson, J. W., Whitesides, G. M., Ordering of spontaneously formed buckles on planar surfaces, Langmuir, 16 (2000), pp. 3497- 3501.
  8. Altan, H. , Bilgic, F. , Arslanoglu, Z. , Kale, E. , Köroğlu Kale, A. , Altan, A. , Sahin, O., Nanomechanical Properties of Different Dental Restorative Materials, Acta Physica Polonica A, 130 (2016), pp. 394-396.
  9. Çiçek Bezir, N. , Evcin, A. , Okçu, H. , Kayali, R. , Kaleli, M. , Aldemir, D. A. , Effect of Layer Thickness on I-V Characteristics of GaInP Nanofibers Fabricated by Electrospinning on n-Si Substrates, Acta Physica Polonica A, 132 (2017), pp. 638-641.
  10. Çiçek Bezir, N. , Evcin, A. , Kayali, R. , Özen, M. K. , Esen, K. , Comparison of Five-Layered ZrO2 and Single-Layered Ce, Eu, and Dy-Doped ZrO2 Thin Films Prepared by Sol-Gel Spin Coating Method, Acta Physica Polonica A, 132 (2017), pp. 612-616.
  11. Guz, A. N., Fracture mechanics of composites under compression, Naukova Dumka, Kiev, 1990.
  12. Akbarov, S. D., Guz, A. N., Mechanics of Curved Composites, Kluwer Academic Publishers, Dordrecht, Boston, London, 2000.
  13. Babich, I. Yu., Guz, A. N., Chekhov, Vik. N., The three-dimensional theory of stability of fibrous and laminated materials, Int. Appl. Mech., 37 (2001), 9, pp. 1103-1141.
  14. Akbarov, S. D., Tekercioğlu, R., Surface undulation instability of the viscoelastic half-space covered with the stack of layers in bi-axial compression, International Journal of Mechanical Sciences, 49 (2007), 6, pp. 778-789.
  15. Akbarov, S. D., Tekercioğlu, R., Near-surface buckling instability of a system consisting of a moderately rigid substrate, a viscoelastic bond layer, and an elastic covering layer, Mechanics of Composite Materials, 42 (2006), 4, pp. 363-372.

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence