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Vol 71, No 6 (2016)
- Year: 2016
- Articles: 5
- URL: https://journals.rcsi.science/0027-1330/issue/view/10006
Article
Application of the asymptotic homogenization method to find the expansion coefficient of a water-saturated porous medium during freezing processes
Abstract
An approach is proposed to determine the effective relative expansion coefficient of a porous medium filled with water during its freezing. This approach is based on an asymptotic homogenization method. An explicit formula is derived to find the expansion coefficient in the case of open pores. In the case of closed pores, the expansion coefficient is a second-rank tensor. Its determination requires to solve the so-called local problems in a representative volume element. The proposed approach can be used to determine the effective expansion coefficient during the freezing of water in the soil. Its efficiency is confirmed for model and realistic geological structures.
127-131
Properties of a nonlinear viscoelastoplastic model of Maxwell type with two material functions
Abstract
General qualitative properties of quasistatic curves for creep, relaxation, strain, and others are studied analytically. These curves are obtained on the basis of a one-dimensional constitutive relation of Maxwell type. Some constraints are proposed for the material functions to adequately describe the typical properties of experimental curves for a wide class of viscoelastoplastic materials. The applicability of the proposed model to describe, in particular, the superplastic deformation is analyzed. The effects that cannot be described in the framework of this model are found and its applicability range is revealed.
132-136
The homogenization method of Bakhvalov–Pobedrya in the composite mechanics
Abstract
The role of Professor Pobedrya in the development of the homogenization method in the mechanics of composite materials with periodic structure is discussed. A generalization of the homogenization method is proposed to the case of heterogeneous bodies whose structure is not periodic.
137-141
Orientation instability of shear flow of a nematic liquid crystal
Abstract
The instability of shear flow of a nematic liquid crystal layer is studied. The case when the orientation vector and the flow velocity vector are parallel is considered. It is shown that the orientation instability of this flow is possible if the anchoring boundary condition is weak and if the splay-bend constants in the Frank energy are taken into account. For this type of instability, periodic structures are possible to appear. Their wave vector belongs to the plane of flow and is perpendicular to the velocity vector. The medium parameters are estimated on the basis of the existence condition for this instability. The period of the appearing periodic structures is evaluated.
142-144
A suppression method for thermomechanical stresses during the laser processing of structural elements
Abstract
A method to reduce thermomechanical stresses during the laser processing of a beam-like specimen along its side surface and a thin disk along its central circular hole is considered. Some analytical temperature expressions are obtained in both these cases. The problems of determining thermal stresses during the heating of specimens with consideration of heat transfer on their surfaces are solved. The solutions obtained with heat transfer and without it are compared. It is shown that the side surface blowing can be used to suppress the fracture of heated specimens.
145-148