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Multilayered cylindrical panels with interface diffusion and sliding under thermomechanical loads

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Abstract

We investigate the time-dependent deformations of multilayered isotropic elastic cylindrical panels with interfacial diffusion and rate-dependent sliding under thermomechanical loads. The state-space approach is found to be extremely effective for the analysis of a cylindrical panel composed of an arbitrary number of layers. We show that when a particular condition is met, the thermal loading will not induce any thermal stresses in the cylindrical panel. To demonstrate our results, we present the evolving displacements and stresses in a three-layered panel induced by sinusoidal temperature variation and normal traction applied to its upper surface. In addition, we present all 198 relaxation times corresponding to a 100-layered panel.

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References

  1. Ren, J.G.: Exact solutions for laminated cylindrical shells in cylindrical bending. Compos. Sci. Tech. 29, 169–187 (1987)

    Article  Google Scholar 

  2. Bhaskar, K., Varadan, T.K.: Exact elasticity solution for laminated anisotropic cylindrical shells. ASME J. Appl. Mech. 60, 41–47 (1993)

    Article  MATH  Google Scholar 

  3. Chen, C.Q., Shen, Y.P., Wang, X.M.: Exact solution of orthotropic cylindrical shell with piezoelectric layers under cylindrical bending. Int. J. Solids Struct. 33, 4481–4491 (1996)

    Article  MATH  Google Scholar 

  4. Wang, X., Zhong, Z.: Three-dimensional solution of smart laminated anisotropic circular cylindrical shells with imperfect bonding. Int. J. Solids Struct. 40, 5901–5921 (2003)

    Article  MATH  Google Scholar 

  5. Wang, X., Sudak, L.J.: Three-dimensional analysis of a multilayered functionally graded anisotropic cylindrical panel under thermomechanical loading. Mech. Mater. 40, 235–254 (2008)

    Article  Google Scholar 

  6. Sofronis, P., McMeeking, R.M.: The effect of interface diffusion and slip on the creep resistance of particulate composite materials. Mech. Mater. 18, 55–68 (1994)

    Article  Google Scholar 

  7. Wei, Y.J., Bower, A.F., Gao, H.J.: Recoverable creep deformation and transient local stress concentration due to heterogeneous grain-boundary diffusion and sliding in polycrystalline solids. J. Mech. Phys. Solids 56, 1460–1483 (2008)

    Article  MATH  Google Scholar 

  8. Gao, H.J., Zhang, L., Nix, W.D., Thompson, C.V., Arzt, E.: Crack-like grain-boundary diffusion wedges in thin metal films. Acta Mater. 47, 2865–2878 (1999)

    Article  Google Scholar 

  9. Onaka, S., Huang, J.H., Wakashima, K., Mori, T.: Kinetics of stress relaxation caused by the combination of interfacial sliding and diffusion: two-dimensional analysis. Acta Mater. 46, 3821–3828 (1998)

    Article  Google Scholar 

  10. Onaka, S., Huang, J.H., Wakashima, K., Mori, T.: Stress relaxation caused by the combination of interfacial sliding and diffusion around spherical inclusions. Mech. Mater. 31, 717–727 (1999)

    Article  Google Scholar 

  11. He, L.H., Hu, X.F.: Transient stress relaxation around a spherical inclusion: the role of the combination of interfacial diffusion and sliding. Mater. Chem. Phys. 77, 147–152 (2002)

    Article  Google Scholar 

  12. Wang, X., Wang, C.Y., Schiavone, P.: In-plane deformations of a nano-sized circular inhomogeneity with interface slip and diffusion. Int. J. Eng. Sci. 108, 9–15 (2016)

    Article  MathSciNet  Google Scholar 

  13. Wang, X., Wang, C.Y.: Transient response of bilayered elastic strips with interfacial diffusion and sliding in cylindrical bending. Math. Mech. Solids (in press)

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China

    Xu Wang

  2. Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, AB, T6G 1H9, Canada

    Peter Schiavone

Authors
  1. Xu Wang
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  2. Peter Schiavone
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Correspondence to Peter Schiavone.

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Wang, X., Schiavone, P. Multilayered cylindrical panels with interface diffusion and sliding under thermomechanical loads. Acta Mech 228, 3285–3296 (2017). https://doi.org/10.1007/s00707-017-1886-4

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  • DOI: https://doi.org/10.1007/s00707-017-1886-4

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