Skip to main content
SpringerLink
Log in

A Mode I Crack Problem for a Thermoelastic Fibre-Reinforced Anisotropic Material Using Finite Element Method

  • Published:
Physical Mesomechanics Aims and scope Submit manuscript

Abstract

In this article, the theory of generalized thermoelasticity with one relaxation time is used to investigate the thermoelastic fiber-reinforced anisotropic material with a finite linear crack. The crack boundary is due to a prescribed temperature and stress distribution. By using the finite element method, the numerical solutions of the components of displacement, temperature and the stress components have been obtained. Comparisons of the results in the absence and presence of reinforcement have been presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Spencer, A.J.M., Deformations of Fibre-Reinforced Materials, Oxford: Clarendon Press, 1972.

    MATH  Google Scholar 

  2. Lord, H.W. and Shulman, Y., A Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solid., 1967, vol. 15, no. 5, pp. 299–309.

    Article  ADS  MATH  Google Scholar 

  3. Green, A.E. and Lindsay, K.A., Thermoelasticity, J. Elasticity, 1972, vol. 2, no. 1, pp. 1–7.

    Article  MATH  Google Scholar 

  4. Dhaliwal, R.S. and Sherief, H.H., Generalized Thermoelasticity for Anisotropic Media, Q. Appl. Math., 1980, vol. 38, no. 1, pp. 1–8.

    Article  MathSciNet  MATH  Google Scholar 

  5. Ayatollahi, M.R., Razavi, N., Rashidi Moghaddam, M., and Berto, F., Mode I Fracture Analysis of Polymethylmetacrylate Using Modified Energy-Based Models, Phys. Mesomech., 2015, vol. 18, no. 4, pp. 326–336.

    Article  Google Scholar 

  6. Ayatollahi, M.R., Rashidi Moghaddam, M., Razavi, N., and Berto, F., Geometry Effects on Fracture Trajectory of PMMA Samples under Pure Mode-I Loading, Eng. Fract. Mech., 2016, vol. 163, pp. 449–461.

    Article  Google Scholar 

  7. Rashidi Moghaddam, M., Ayatollahi, M.R., Razavi, N., and Berto, F., Mode II Brittle Fracture Assessment Using an Energy Based Criterion, Phys. Mesomech., 2017, vol. 20, no. 2, pp. 142–148.

    Article  Google Scholar 

  8. Abbas, I.A., A GN Model for Thermoelastic Interaction in an Unbounded Fiber-Reinforced Anisotropic Medium with a Circular Hole, Appl. Math. Lett., 2013, vol. 26, no. 2, pp. 232–239.

    Article  MathSciNet  MATH  Google Scholar 

  9. Abbas, I.A. and Zenkour, A.M., The Effect of Rotation and Initial Stress on Thermal Shock Problem for a Fiber-Reinforced Anisotropic Half-Space Using Green-Naghdi Theory, J. Comput. Theor. Nanos., 2014, vol. 11, no. 2, pp. 331–338.

    Article  Google Scholar 

  10. Wriggers, P., Nonlinear Finite Element Methods, Berlin: Springer, 2008.

    MATH  Google Scholar 

  11. Abbas, I.A., Abd-alla, A.N., and Othman, M.I.A., Generalized Magneto-Thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space, Int. J. Thermophys., 2011, vol. 32, no. 5, pp. 1071–1085.

    Article  ADS  Google Scholar 

  12. Abbas, I.A., A Two-Dimensional Problem for a Fibre-Reinforced Anisotropic Thermoelastic Half-Space with Energy Dissipation, Sadhana Acad. P. Eng. Sci., 2011, vol. 36, no. 3, pp. 411–423.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt

    I. A. Abbas

  2. Nonlinear Analysis and Applied Mathematics Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    I. A. Abbas

  3. Department of Mechanical and Industrial Engineering, Norwegian University of Science and Technology, Trondheim, 7491, Norway

    N. Razavi

Authors
  1. I. A. Abbas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. Razavi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. A. Abbas.

Additional information

Original Text © I.A. Abbas, N. Razavi, 2018, published in Fizicheskaya Mezomekhanika, 2018, Vol. 21, No. 1, pp. 41–45.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abbas, I.A., Razavi, N. A Mode I Crack Problem for a Thermoelastic Fibre-Reinforced Anisotropic Material Using Finite Element Method. Phys Mesomech 21, 135–139 (2018). https://doi.org/10.1134/S1029959918020066

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1029959918020066

Keywords

Search

Navigation