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- W2905984234 abstract "The paper consists of two parts united by the central idea of the random field of the microstructure of the material. The first part addresses a discrete static approach to describing the localization effect of plastic deformation known with the help of finite-element analysis under the assumption that the deformation of each of the grains obeys a bilinear law with a normal distribution of the yield stress over the grains. The result is a surface relief in the form of diagonally directed strips, which allows one to treat the deformed surface as Panin’s “chessboard”. The second part is concerned with a dynamic continuum approach to the description of the random microstructure of materials. The problem of the propagation of stochastic waves modeled by waves in media with random elastic and mass properties is solved by means of the integral decomposition of the wave amplitude over the wave numbers." @default.
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- W2905984234 date "2018-01-01" @default.
- W2905984234 modified "2023-10-12" @default.
- W2905984234 title "Discrete and continual approaches to the description of random microstructure of materials" @default.
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- W2905984234 doi "https://doi.org/10.1063/1.5084347" @default.
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