title: ÐÐ¾Ð½ÐµÑÐ½Ð¾-ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð´Ð¾Ð¼ÐµÐ½Ð½Ð¾Ð¹ ÑÑÑÑÐºÑÑÑÑ ÑÐµÐ³Ð½ÐµÑÐ¾ÑÐ»ÐµÐºÑÑÐ¾ÑÐ¿ÑÑÐ³Ð¾Ð³Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° Ð¿ÑÐ¸ ÑÐ¸ÐºÐ»Ð¸ÑÐµÑÐºÐ¾Ð¼ Ð½Ð°Ð³ÑÑÐ¶ÐµÐ½Ð¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Finite element modeling of the evolution of the domain structure of a ferroelectroelastic material under cyclic loading
Creators: name: ÐÐ°Ð¼ÑÐ¸Ñ, ÐÐ»ÐµÐºÑÐµÐ¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÐÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¼ÐµÑÐ¾Ð´
ÑÐµÐ³Ð½ÐµÑÐ¾ÑÐ»ÐµÐºÑÑÐ¾ÑÐ¿ÑÑÐ³Ð¸Ðµ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ñ
Ð³Ð¸ÑÑÐµÑÐµÐ·Ð¸Ñ
Ð´Ð¾Ð¼ÐµÐ½Ð½Ð°Ñ ÑÑÑÑÐºÑÑÑÐ°
ÑÐ¸ÐºÐ»Ð¸ÑÐµÑÐºÐ°Ñ Ð½Ð°Ð³ÑÑÐ·ÐºÐ°
ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐµ Ð¼Ð¾Ð´ÑÐ»Ð¸
ferroelectroelastic materials
hysteresis
domain structure
cyclic load
effective module

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description: This work is devoted to the study of compatible domain structures of ferroelectroelastic materials described earlier in the literature, based on direct mathematical modeling of domain evolution using the finite element method. The following tasks were solved: 1. Finite element models of existing periodic structures of rank 2 ferroelectroelastic materials were constructed. 2. A formulation of the boundary-value electromechanical problem for an elementary representative volume of a domain structure was proposed. 3. Effective modules of the domain structure models were found. 4. The hysteresis curves were obtained. 5. A significant sensitivity of the influence of the domain structure on the hysteresis ordering of a single-crystal ferroelectroelastic material has been established. During the work, several scenarios of the evolution of domain structures within the periodic cell of a single crystal were studied under the application of an external load in three orthogonal directions. A systematic analysis of several types of boundary conditions for solving the boundary-value electromechanical problem was carried out, and the most effective ways used in carrying out multivariate finite element calculations were proposed. The influence of domain structures on the behavior of a single-crystal ferroelectroelastic material was analyzed both for evaluating effective linear modules (linear problems) and for determining hysteresis curves (a nonlinear evolutionary problem). As a result of the work, the patterns describing the dependence of the electromechanical properties of a single-crystal material on the initial domain state were revealed.