Memory response on generalized thermoelastic medium in context of dual phase lag thermoelasticity with non-local effect
- Title
- Memory response on generalized thermoelastic medium in context of dual phase lag thermoelasticity with non-local effect
- Creator
- Tiwari R.; Saeed A.M.; Kumar R.; Kumar A.; Singhal A.
- Description
- Theory of non-local continuum is contemporary appraised and is found to be supplementary coherent to capture the impacts of each and every point of the material at its single point. The conviction of memory dependent derivative is also newly appraised and is observed to be more intuitionistic for predicting the realistic character of the real-world obstacles. Attractiveness of the belief of a memory dependent derivative lies in its unique properties such as its significant constituents a kernel function and time-delay are freely selected according to the requirement of a problem. The present study comprises a new meticulous thermoelastic heat conduction model for the homogeneous, isotropic, thermoelastic half space medium concerning memory effects and non-local effects. Governing equations are constructed on the basis of the newly appraised non-local generalized theory of thermoelasticity with two phase lags in the frame of a memory dependent derivative. Exact analytical solutions of the physical fields such as dimensionless temperature, displacement as well as thermal stress are evaluated by using a suitable technique of the Laplace transform. Quantitative results are determined in a time-domain for different values of time by taking the numerical inversion of the Laplace transform. Noteworthy role of the constituents of the memory dependent derivative such as kernel function as well as time-delay factor has been scrutinized on the crucial field variables of the medium through computational outcomes. Moreover, the impact of non-local parameter is examined on the variations of field quantities through the quantitative results. 2022 by IPPT PAN, Warszawa.
- Source
- Archives of Mechanics, Vol-74, No. 45718, pp. 69-88.
- Date
- 2022-01-01
- Publisher
- Polska Akademia Nauk
- Subject
- dual phase lags; kernel function; memory dependent derivative; non-local continuum theory; time-delay
- Coverage
- Tiwari R., Department of Mathematics, Nitishwar College, Constituent Unit of Babasaheb Bhimrao Ambedkar, Bihar University, Bihar, India; Saeed A.M., Department of Mathematics, Qassim University, Buraydah, Saudi Arabia; Kumar R., Department of Mathematics, Central University of South Bihar, Bihar, Gaya, India; Kumar A., Department of Mathematics, T D PG College, U.P., India; Singhal A., School of Sciences, Christ (Deemed to be University), Delhi NCR, India
- Rights
- Restricted Access
- Relation
- ISSN: 3732029
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Tiwari R.; Saeed A.M.; Kumar R.; Kumar A.; Singhal A., “Memory response on generalized thermoelastic medium in context of dual phase lag thermoelasticity with non-local effect,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 26, 2025, https://archives.christuniversity.in/items/show/15335.