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Dr. Rashmi Prasad

Assistant Professor, Department of Mathematics, Amaravati Campus

Qualification: B.Sc. (H), MSc, Ph.D
p_rashmi@av.amrita.edu
Google Scholar Profile
Scopus Author ID
Research Interest: Solid mechanics, Generalized thermoelasticity, Wave propagation, Variational principle

Bio Publications Qualifications FDP/Short Term Course/Workshop Attended/Conducted Awards Reviewer of Journals & Conferences
Bio

Dr. Rashmi Prasad currently serves as an Assistant Professor at the Department of Mathematics, Amrita Vishwa Vidyapeetham, Amaravati campus. Her area of research includes Solid Mechanics, Generalized thermoelasticity, Wave propagation and Variational principle.

She received her B.Sc.(H) in Mathematics from Patna Women’s College, Patna University (Bihar), in 2015 and her M.Sc. in Mathematics from the Central University of South Bihar (CUSB), Gaya, in 2017. She earned a gold medal in her M.Sc. for her exceptional academic excellence. Also, she has qualified GATE-2022 in Mathematics. Further, she earned her Ph.D. degree from CUSB, Gaya, in June 2023. The title of her thesis is “Thermoelastic study of some problems under non-Fourier heat conduction law.” She has published 7 research articles and 1 book chapter in reputed international journals indexed in SCI/SCIE.

Publications

Journal Article

Year : 2022

Reciprocal and variational theorems on the two-temperature Green–Lindsay thermoelasticity theory

Cite this Research Publication : Sachan, S., Kumar, R., & Prasad, R. (2022). Reciprocal and variational theorems on the two-temperature Green–Lindsay thermoelasticity theory. Archive of Applied Mechanics, 93 (4), 1555–1563. (doi:10.1007/s00419-022-02345-5)

Publisher : Archive of Applied Mechanics

Year : 2022

Representation of solution of strain gradient dual-phase-lag thermoelasticity and effects of scale length parameter in half- space

Cite this Research Publication : Prasad, R., Sachan, S., & Kumar, R. (2022). Representation of solution of strain gradient dual-phase-lag thermoelasticity and effects of scale length parameter in half- space. Mathematics and Mechanics of Solids, 28 (7), 1708–1719. (doi:10.1080/10.1177/0123456789123456)

Publisher : Mathematics and Mechanics of Solids

Year : 2022

Thermoelastic interactions on a thick granular plate with type II thermoelasticity under axisymmetric temperature distribution

Cite this Research Publication : Prasad, R., & Kumar, R. (2022). Thermoelastic interactions on a thick granular plate with type II thermoelasticity under axisymmetric temperature distribution. Waves in Random and Complex Media, 1–20. (doi:10.1080/17455030.2022.2064561)

Publisher : Waves in Random and Complex Media

Year : 2021

Magneto-thermoelastic wave propagation in a finitely conducting medium: A comparative study for three types of thermoelasticity I, II, and III

Cite this Research Publication : Tiwari, R., Mishra, J. C., & Prasad, R. (2021). Magneto-thermoelastic wave propagation in a finitely conducting medium: A comparative study for three types of thermoelasticity I, II, and III. Journal of Thermal Stresses, 44 (7), 785–806. (doi:10.1080/01495739.2021.1918594)

Publisher : Journal of Thermal Stresses

Year : 2021

Thermoelastic interactions on thick granular plate with three-phase-lag model under axisymmetric temperature distribution

Cite this Research Publication : Prasad, R., & Kumar, R. (2021). Thermoelastic interactions on thick granular plate with three-phase-lag model under axisymmetric temperature distribution. Waves in Random Complex Media, 1–21. (doi:10.1080/17455030.2021.1942306)

Publisher : Waves in Random Complex Media

Year : 2020

Thermoelastic interactions on hyperbolic two-temperature generalized thermoelasticity in an infinite medium with a cylindrical cavity

Cite this Research Publication : Kumar, R., Prasad, R., & Kumar, R. (2020). Thermoelastic interactions on hyperbolic two-temperature generalized thermoelasticity in an infinite medium with a cylindrical cavity. European Journal of Mechanics / A Solids, 82, 104007. (doi:10.1016/j.euromechsol.2020.104007)

Publisher : European Journal of Mechanics / A Solids

Year : 2020

On the characterization and stability of plane waves under hyperbolic two-temperature generalized thermoelasticity

Cite this Research Publication : Prasad, R., & Kumar, R. (2020). On the characterization and stability of plane waves under hyperbolic two-temperature generalized thermoelasticity. Journal of Thermal Stresses, 43 (12), 1513–1530. (doi:10.1080/01495739.2020.1806764)

Publisher : Journal of Thermal Stresses

Book Chapter

Year : 2023

Numerical solution of partial differential equations: Finite difference method

Cite this Research Publication : Kumar, R., Tiwari, R., & Prasad, R. (2023). Numerical solution of partial differential equations: Finite difference method. Mathematics and Computer Science Volume 1, Scrivener Publishing LLC, 353-372. (doi:10.1002/9781119879831.ch18)

Publisher : Mathematics and Computer Science

Qualifications
  • June, 2023 : Doctorate
    Ph.D. in Mathematics from Central University of South Bihar, Gaya, Bihar
    Thesis title: “Thermoelastic study of some problems under non-Fourier heat conduction law”
  • June, 2017 : Post Graduation
    M.Sc. in Mathematics from Central University of South Bihar, Gaya, Bihar
  • June, 2015 : Under Graduation
    B.Sc.(H) Mathematics from Patna Women’s College, Patna University, Patna, Bihar
FDP/Short Term Course/Workshop Attended/Conducted

Conferences Attended

  • 3rd International Conference on Frontiers in Industrial and Applied Mathematics (FIAM- 2020), NIT Jamshedpur, (December 21-22, 2020)
  • 27th International Conference of International Academy of Physical Sciences (CONIAPS XXVII, 2021) on “Recent Trends Advances in Solid Mechanics and Seismology”, Kurukshetra University, Kurukshetra, (October 26-28, 2021)
  • 2nd International Conference on Applied Mathematics and Computational Sciences (ICAMCS-2022), DIT University, Dehradun, India. (October 12-14, 2022)

Workshop Attended

  • International Workshop on “Recent Trends in Modeling & its Applications (IWRTMIA 2022)”, Post Graduate College, Ghazipur,
  • A Workshop on Jordan Canonical Form, Central University of South Bihar Gaya (Bihar), India.
  • Workshop on “Research Related Solutions for Faculty and Research Scholars”, RGIPT Jais, Amethi, India.
  • International Workshop on “Fractional Derivatives: Theory & Computations with Applications (FDTCA 2021)”, IIT (BHU), Varanasi,
  • Workshop on “Advanced Numerical Techniques in Science and Engineering (ANTSE 2021)”, PDEU Gandhinagar, Gujarat,
  • “Annual Foundation School-I (AFS-I 2019)” at Harish Chandra Research Institute, Prayagraj, Uttar Pradesh, India.
Awards
  1. GATE-2022 in
  2. Gold Medallist in M.Sc. at CUSB, Gaya, Bihar
Reviewer of Journals & Conferences

Journals

  • Waves in Random and Complex Media
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