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Information × Registration Number 0224U000191, 0123U103235 , R & D reports Title Effect of nano-, micro-, and meso-nonhomogeneities in the macro-scale thermomechanical performance of compositestructure members popup.stage_title Head Tokovyi Yurii V., Доктор фізико-математичних наук Registration Date 03-01-2024 Organization Institute of Applied Problems of Mechanics and Mathematics named after Ya. S. Pidstryhach of the National Academy of Sciences of Ukraine popup.description2  This project work aims to develop research methods and optimize the thermal stress state of non-homogeneous structural elements that function under thermodynamic and electromechanical loads. With the use of modern methods developed in scientific schools of Ukrainian and Slovak project executors in the fields of thermomechanics of heterogeneous structures and non-classical theories of continuum mechanics, approaches have been developed to assess the influence of accumulated nano-, micro-, and meso-inhomogeneities on macro-indicators, taking into account size effects, which cannot be to be carried out using averaging methods. Using a continuum-thermodynamic approach, an advanced theory of electrothermoelasticity is proposed by taking into account non-diffusive and non-convective mass flows associated with changes in the microstructure of the material (local mass displacement), non-classical law of heat conduction, polarization inertia and flexodynamic effect. The governing gradient-type equations, kinematic expression for the non-classical heat flow, and the generalized momentum balance equation are derived. It is shown that the non-classical law of heat conduction is determined by a phenomenological expression that connects entropy and heat flows. By taking into account the inertia of polarization and the dynamic terms of flexoelectricity, the rheological components of the equation for polarization were obtained. The theory developed in this study predicts the dynamic flexoelectric effect in isotropic dielectrics and provides a basis for studying electro-thermo-mechanical coupling phenomena in materials of arbitrary symmetry, including isotropic centrosymmetric crystals. Product Description popup.authors Yuzvyak Mykola popup.nrat_date 2024-01-03 Close
R & D report
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Head: Tokovyi Yurii V.. Effect of nano-, micro-, and meso-nonhomogeneities in the macro-scale thermomechanical performance of compositestructure members. (popup.stage: ). Institute of Applied Problems of Mechanics and Mathematics named after Ya. S. Pidstryhach of the National Academy of Sciences of Ukraine. № 0224U000191
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Updated: 2026-03-27