Memory response on generalized thermoelastic medium in context of dual phase lag thermoelasticity with non-local effect

• Autorzy: Tiwari R. , Saeed A. M. , Kumar R. , Kumar A. , Singhal A.

Identyfikatory

DOI

10.24423/aom.3926

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

memory dependent derivative; time-delay; kernel function; non-local; continuum theory; dual phase lags

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2022
• Tom: Vol. 74, nr 2-3
• Strony: 69--88
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Tiwari R.

• Department of Mathematics, Nitishwar College, constituent unit of Babasaheb Bhimrao Ambedkar, Bihar University, Bihar, India

autor

Saeed A. M.

• Department of Mathematics, Qassim University, Buraydah, Saudi Arabia

autor

Kumar R.

• Department of Mathematics, Central University of South Bihar, Gaya, Bihar, India

autor

Kumar A.

• Department of Mathematics, T D PG College, U.P., India

autor

Singhal A.

• School of Sciences, Christ (Deemed to be University), Delhi NCR, India

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).