Stress-strain state of a composite near rectangular inclusion

In this research we developed a technique for calculating the stress-strain state of a model construction from a thermoplastic composite material with an embedded piezoactuator. Numerical simulations of the model construction stress-strain state with different arrangement of piezoactuators: upper and middle,-were performed. Numerical simulations were carried out in a three-dimensional setting taking into account the complete technological scheme of laying and anisotropy of the properties of reinforcing layers. The results of numerical experiments revealed the areas of maximum stress. Recommendations for the MFC’s embedding into composite materials were formulated.

Elastic Field in a Semi-Infinite Solid due to Thermal Expansion or a Coherently Misfitting Inclusion

It is shown that the elastic field due to nonuniform temperature or a coherently misfitting inclusion in a semi-infinite region can be derived simply from the corresponding field in an infinite region. This follows from the work of Mindlin and Cheng [J. Appl. Phys. 21, 931 (1950)] but it is not necessary to calculate the thermoelastic potential itself. In particular, the displacement of the free surface is the same as that of the equivalent plane in an infinite solid, increased by a factor of 4(1−ν). The change in volume associated with the distortion of the surface is reduced by a factor of 2(1+ν)/3 from the free expansion of the inclusion. A rectangular inclusion is used to illustrate the theory.