{"id":7387,"date":"2026-05-23T08:51:11","date_gmt":"2026-05-23T06:51:11","guid":{"rendered":"https:\/\/ustarch.sav.sk\/sk\/departments\/mechanics\/thermoelastic-damping-in-piezothermoelastic-nanobeam-resonators-within-the-framework-of-the-deformation-gradient-theory-with-microinertia-and-nonclassical-heat-conduction\/"},"modified":"2026-05-23T08:51:11","modified_gmt":"2026-05-23T06:51:11","slug":"thermoelastic-damping-in-piezothermoelastic-nanobeam-resonators-within-the-framework-of-the-deformation-gradient-theory-with-microinertia-and-nonclassical-heat-conduction","status":"publish","type":"page","link":"https:\/\/ustarch.sav.sk\/sk\/mechanics\/thermoelastic-damping-in-piezothermoelastic-nanobeam-resonators-within-the-framework-of-the-deformation-gradient-theory-with-microinertia-and-nonclassical-heat-conduction\/","title":{"rendered":"Thermoelastic damping in piezothermoelastic nanobeam resonators within the framework of the deformation gradient theory with microinertia and nonclassical heat conduction"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-7385 alignleft\" src=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/mech1-300x133.jpg\" alt=\"\" width=\"300\" height=\"133\" srcset=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/mech1-300x133.jpg 300w, https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/mech1-1024x455.jpg 1024w, https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/mech1-768x342.jpg 768w, https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/mech1-1536x683.jpg 1536w, https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/mech1.jpg 1920w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>Small resonators are often used in modern micro- and nanodevices due to their favorable physical properties. Among the various energy dissipation mechanisms, thermoelastic damping (TED) plays a dominant role in determining their performance. However, classical TED models cannot capture size effects accurately. Therefore, in [1-3], a theoretical analysis of TED in piezoelectric micro- and nanocarriers was performed based on the gradient theory of piezoelectricity for transversely isotropic dielectrics with microinertia effect. The theory considers the influence of microinertia, piezoelectric effect, and material microstructure on coupled fields in dielectrics. To take into account the microinertia effect, the kinetic energy is represented by both the velocity vector and the velocity gradient tensor, while the theory with the non-classical Lord\u2013Shulman heat conduction law is used to describe the finite thermal propagation rate. As an illustrative example, the free vibration of simply supported piezothermoelastic beams with isothermal boundary conditions is analyzed. The influence of beam thickness, thermal relaxation time, number of vibration modes, initial temperature, microlength scale parameter and dynamic microinertia parameter on TED in piezoelectric resonators is discussed. The findings show that simultaneous consideration of thermal relaxation time and static and dynamic micro-length scale parameters significantly affects TED and thermoelastic behavior of microbeams. This study has practical significance for the design of highly efficient thermoelastic devices and systems.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Small resonators are often used in modern micro- and nanodevices due to their favorable physical properties. Among the various energy dissipation mechanisms, thermoelastic damping (TED)&#8230;<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":5001,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-7387","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages\/7387","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/comments?post=7387"}],"version-history":[{"count":0,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages\/7387\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages\/5001"}],"wp:attachment":[{"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/media?parent=7387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}