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Advances in Fluid Mechanics and Solid Mechanics pp 185–197Cite as

Dynamic Response of Axisymmetric Functionally Graded Viscothermoelastic Hollow Cylinder Due to Heat Sources by Using Series Solution

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Abstract

This paper represents the exact analysis of functionally graded viscothermoelastic hollow cylinder subjected to dynamic heat sources. The viscothermoelastic material is considered to be inhomogeneous due to easy power law. The outer and inner surfaces of cylinder are kept traction free and time-dependent heat flux is supplied on inner part of the body and outer part may be isothermal. The governing equations have been changed into ordinary differential equations due to time harmonics. Series solution for regular singular points has been applied to ordinary differential equations to represent deformation, temperature change, and traction analytically. Numerical computations have been applied to field functions and represented graphically for radial stress, temperature change, and displacement against time and thickness of cylinder. The present work has been deliberated for some special applications in the thermal environment as it controls the variations of tractions and deformations.

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Acknowledgements

We both the authors are thankful to Late Professor J. N. Sharma, NIT Hamirpur (HP) India who has gone from this world for providing us the expertise, moral support, and kind guidance.

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Authors and Affiliations

  1. Department of Mathematics, School of Basic and Applied Sciences, Maharaja Agrasen University, Atal Shiksha Kunj, Baddi, Solan, 174103, H.P, India

    Himani Mittal & Dinesh Kumar Sharma

Authors
  1. Himani Mittal
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  2. Dinesh Kumar Sharma
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Corresponding author

Correspondence to Dinesh Kumar Sharma .

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Editors and Affiliations

  1. Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    Damodar Maity

  2. Bangalore University, Bengaluru, Karnataka, India

    Pradeep G. Siddheshwar

  3. Dayananda Sagar University, Bengaluru, Karnataka, India

    Sunanda Saha

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Mittal, H., Sharma, D.K. (2020). Dynamic Response of Axisymmetric Functionally Graded Viscothermoelastic Hollow Cylinder Due to Heat Sources by Using Series Solution. In: Maity, D., Siddheshwar, P., Saha, S. (eds) Advances in Fluid Mechanics and Solid Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0772-4_17

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  • DOI: https://doi.org/10.1007/978-981-15-0772-4_17

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0771-7

  • Online ISBN: 978-981-15-0772-4

  • eBook Packages: EngineeringEngineering (R0)

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