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              <text>Nonlocal thermoelastic waves inside nanobeam resonator subject to various loadings</text>
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              <text>Kernel functions; memory influence term; nano-beam; non-local effect; ramp type heating; time-delay; time-dependent load</text>
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              <text>The present article focuses on the new meticulous model based on the postulate of memory-dependent derivatives to analyze the thermo-mechanical interactions inside the nano-beam-based machined resonators. Also, the size effect on dynamic responses of thermoelastic vibrations of homogeneous and isotropic nano-beam is considered. The fundamental expressions are formulated in the frame of non-local generalized thermoelasticity with paired relaxation times by operating the results of Euler-Bernoulli beam theory, non-local effect, and memory-dependent derivative. The proposed model is applied to study the nano-beam-based machined resonator subjected to the ramp-type heating and exponentially decaying time-dependent load. Closed-form solutions of the physical fields are examined by applying the Laplace transform mathematical mechanism. However, the coherence of the new thermal conductivity framework, a collation has been bestowed among the results obtained in the presence or absence of the memory-dependent derivative; also, the size effect is analyzed on the significant parameters of nano-beam such as deflection, temperature, displacement as well as bending moment. Moreover, the prominent influence of the distinct affecting parameters such as constituents of memory-dependent derivative (kernel function and time delay) and ramping time parameter with an applied load on the physical fields have been investigated with the help of quantitative results.  2022 Taylor &amp;amp; Francis Group, LLC.</text>
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              <text>Tiwari R.; Saeed A.M.; Abouelregal A.; Singhal A.; Salem M.G.</text>
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              <text>Mechanics Based Design of Structures and Machines, Vol-52, No. 1, pp. 215-238.</text>
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              <text>Taylor and Francis Ltd.</text>
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              <text>2024-01-01</text>
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              <text>&lt;a href="https://doi.org/10.1080/15397734.2022.2104312" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1080/15397734.2022.2104312&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135176302&amp;amp;doi=10.1080%2F15397734.2022.2104312&amp;amp;partnerID=40&amp;amp;md5=a2c44bcd932dc646c0bb9feb2d52fffe" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135176302&amp;amp;doi=10.1080%2f15397734.2022.2104312&amp;amp;partnerID=40&amp;amp;md5=a2c44bcd932dc646c0bb9feb2d52fffe&lt;/a&gt;</text>
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              <text>ISSN: 15397734</text>
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              <text>Tiwari R., Department of Mathematics, Nitishwar College, A constituent unit of Babasaheb Bhimrao Ambedkar Bihar University, Bihar, India; Saeed A.M., Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia; Abouelregal A., Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt; Singhal A., Department of Computational Sciences, School of Sciences, Christ (Deemed to be University) Delhi NCR, Uttar Pradesh, Ghaziabad, India; Salem M.G., Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt</text>
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