This work is devoted to development and application of the statistical mechanics approaches to st... more This work is devoted to development and application of the statistical mechanics approaches to studying microstructural behavior of multi-component composites. The object of the study is heterogeneous materials consisting of more than two components. The aim is to develop analytical tools for the analysis of the microstructural stress and strain fields in multicomponent media taking into account geometrical and mechanical properties of components and basied on calculation of the statistical characteristics of the local fields of stress and strain in components. Research of the microstructure behavior of components of composites is based on the concept of representative volume elements. It is assumed that the components are homogeneous and isotropic. Information about the internal morphology of the representative volume is formalized by means of correlation functions of various orders. Characteristics of the deformation processes are the statistical moments (statistics) of stress and...
The problem of calculation of stress and strain fields in 3D matrix composites is considered. Ran... more The problem of calculation of stress and strain fields in 3D matrix composites is considered. Random structure of composites is described with set of multipoint moment functions. Boundary-value problem is reduced to integral-differential equation, which is solved in the second approximation. The method of obtaining of analytical expressions for stress and strain fields statistical characteristics is presented.
This study is focused on the deformation behaviour of composites formed by auxetic lattice struct... more This study is focused on the deformation behaviour of composites formed by auxetic lattice structures acting as a matrix based on the re-entrant unit-cell geometry with a soft filler, motivated by biomedical applications. Three-dimensional models of two types of the auxetic-lattice structures were manufactured using filament deposition modelling. Numerical finite-element models were developed for computational analysis of the effect of the filler with different mechanical properties on the effective Poisson’s ratio and mechanical behaviour of such composites. Tensile tests of 3D-printed auxetic samples were performed with strain measurements using digital image correlation. The use of the filler phase with various elastic moduli resulted in positive, negative, and close-to-zero effective Poisson’s ratios. Two approaches for numerical measurement of the Poisson’s ratio were used. The failure probability of the two-phase composites with auxetic structure depending on the filler stiffn...
This work is devoted to development and application of the statistical mechanics approaches to st... more This work is devoted to development and application of the statistical mechanics approaches to studying microstructural behavior of multi-component composites. The object of the study is heterogeneous materials consisting of more than two components. The aim is to develop analytical tools for the analysis of the microstructural stress and strain fields in multicomponent media taking into account geometrical and mechanical properties of components and basied on calculation of the statistical characteristics of the local fields of stress and strain in components. Research of the microstructure behavior of components of composites is based on the concept of representative volume elements. It is assumed that the components are homogeneous and isotropic. Information about the internal morphology of the representative volume is formalized by means of correlation functions of various orders. Characteristics of the deformation processes are the statistical moments (statistics) of stress and...
The problem of calculation of stress and strain fields in 3D matrix composites is considered. Ran... more The problem of calculation of stress and strain fields in 3D matrix composites is considered. Random structure of composites is described with set of multipoint moment functions. Boundary-value problem is reduced to integral-differential equation, which is solved in the second approximation. The method of obtaining of analytical expressions for stress and strain fields statistical characteristics is presented.
This study is focused on the deformation behaviour of composites formed by auxetic lattice struct... more This study is focused on the deformation behaviour of composites formed by auxetic lattice structures acting as a matrix based on the re-entrant unit-cell geometry with a soft filler, motivated by biomedical applications. Three-dimensional models of two types of the auxetic-lattice structures were manufactured using filament deposition modelling. Numerical finite-element models were developed for computational analysis of the effect of the filler with different mechanical properties on the effective Poisson’s ratio and mechanical behaviour of such composites. Tensile tests of 3D-printed auxetic samples were performed with strain measurements using digital image correlation. The use of the filler phase with various elastic moduli resulted in positive, negative, and close-to-zero effective Poisson’s ratios. Two approaches for numerical measurement of the Poisson’s ratio were used. The failure probability of the two-phase composites with auxetic structure depending on the filler stiffn...
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