THE THEORY OF MEDIA WITH DEFECT FIELDS AND MODELS OF DEFORMATION OF FUNCTIONAL LAYERS IN ISOTROPIC MATERIALS

S. A. Lurie; P. A. Belov; K. D. Kharchenko

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THE THEORY OF MEDIA WITH DEFECT FIELDS AND MODELS OF DEFORMATION OF FUNCTIONAL LAYERS IN ISOTROPIC MATERIALS

机译：各向同性材料中具有缺陷场的介质理论和功能层的变形模型

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The model of deformation of functional interphase layers is developed using the theory of media with defect-dislocation fields and the Mindlin-Toupin gradient theories. Variational equations of the models of media with defect fields and gradient theories of elasticity are presented. The theorems on equivalence of the theory of media with defects and the Mindlin-Toupin theory of inho-mogeneous medium, as well as between Mindlin-Toupin nonlocal models and classical models with variable properties are proven. The energy equivalence of variational models of defect media and media modeled within the gradient strain theory, on the one hand, and functional media with variable properties analyzed in the classical theory of elasticity, on the other hand, is established. As a result, deformation of media with defect fields and media with gradient localized interphase layers in the vicinity of the interface, special zones with changing boundary conditions, can be investigated as deformation of functional materials with variable properties that satisfy the classical theory of elasticity.

机译：利用具有缺陷位错场的介质理论和Mindlin-Toupin梯度理论建立了功能相间层的变形模型。提出了具有缺陷场的介质模型的变分方程和弹性梯度理论。证明了缺陷介质理论和非均质介质Mindlin-Toupin理论的等价定理，以及Mindlin-Toupin非局部模型和具有可变性质的经典模型之间的等价性。一方面建立了缺陷介质的变分模型和梯度应变理论中建模的介质的能量等效性，另一方面建立了经典弹性理论中分析的具有可变性质的功能介质的能量等效性。结果，可以研究具有缺陷场的介质的变形以及界面附近具有局部局部相变层的介质（边界条件不断变化的特殊区域）的变形，作为功能材料的变形，其特性可以满足经典的弹性理论。

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《International journal of nanomechanics science and technology》 |2015年第1期|1-16|共16页
作者
S. A. Lurie; P. A. Belov; K. D. Kharchenko;
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作者单位

Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, Russia;

Scientific Innovative Center "Institute of Research, Development and Transfer of Technologies", Moscow, Russia;

Moscow Aviation Institute (Technical Research University), Moscow, Russia;

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正文语种 eng
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modeling; defect fields; gradient theory of elasticity; scale effects; theory of interphase layer; modulus of elasticity; functional materials;

机译：造型;缺陷场;弹性梯度理论规模效应;相间层理论弹性模量功能材料;

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THE THEORY OF MEDIA WITH DEFECT FIELDS AND MODELS OF DEFORMATION OF FUNCTIONAL LAYERS IN ISOTROPIC MATERIALS

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