Coupled systems mechanics

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Distributed loads in modified couple stress thermoelastic diffusion with non-local and phase-lags

  • Kumar, Rajneesh (Department of Mathematics, Kurukshetra University) ;
  • Kaushal, Sachin (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University) ;
  • Dahiya, Vikram (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University)
  • Received : 2021.04.27
  • Accepted : 2021.10.06
  • Published : 2021.10.25
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Abstract

Thermomechanical loading is considered to examine the non-local and phase-lags effects in a modified couple stress thermoelastic (MCT) half space. Governing equations are solved by using Laplace and Fourier transform techniques. Concentrated source in time and distributed sources with space variable are taken to demonstrate the application. Distributed sources are further classified as uniformly distributed source (UDS) and linearly distributed source (LDS) for mechanical, thermal and chemical potential sources. Numerical results are calculated for displacements, stresses, temperature distribution and chemical potential and are disucussed by displaying graphically. Some particular cases are deduced.

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References

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