Simulating the stress–strain state of a thin plate after a thermal shock

The paper is devoted to simulating the impact of a thermal shock on a thin homogeneous plate in the ANSYS package. The assessment of the stress–strain state is carried out and the dynamics of changes in the temperature field of the plate is determined. The obtained results were compared with the data of other authors and can be used when taking into account the thermal shock of large elastic elements of spacecraft.

STRESS CONCENTRATION IN A HOMOGENEOUS PLATE WITH A CIRCULAR HOLE REINFORCED BY AN INCLUSION FROM A FUNCTIONAL-GRADIENT MATERIAL

Computer simulation of the stress-strain state of a thin rectangular homogeneous isotropic plate with a circular hole, reinforced by an annular inclusion made of a functional-gradient material (FGM) has been carried out. The influence of the geometric (width) and mechanical (elastic modulus) parameters of the inclusion is investigated when various laws of change in the elastic modulus of the FGM are set on the stress concentration around the hole. Recommendations for the use of inclusions are given. If there is a "hard" annular inclusion in a homogeneous plate with a hole, it is expedient to use an FGM with a nonlinear law of change in the modulus of elasticity in comparison with an inclusion made of a homogeneous material. Despite the fact that the inclusion leads to a slight increase in the stress concentration factor in comparison with a homogeneous material, it makes it possible to increase the rigidity of the system as a whole. The width of FGM inclusions affects the nature of the stress distribution: the wider the inclusion, the more smoothly the stress redistribution in the main matrix occurs.

The boundary value contact problem of electroelasticity for piecewise-homogeneous piezo-electric plate with elastic inclusion and cut

In this paper a contact problem of the theory of electroelasticity for piecewise-homogeneous plate of piezo-electric material with infinite cut and elastic finite inclusion of variable bending rigidity is considered. By using methods of the theory of analytic function, the problem is reduced to a system of singular integro-differential equations with fixed singularity. Using an integral transformation, a Riemann problem is obtained, the solution of which is presented in explicit form.

Two-scale Reissner-Mindlin plate model

A two-scale plate model, in which the displacement assumption consists of the Reissner-Mindlin and warping parts, is presented. To reduce the modelling error of the classical Reissner-Mindlin model, the warping part is chosen so that the overall displacement satisfies the full 3D elasticity equations as well as possible. Pressure loaded isotropic homogeneous plate is used as an application example.

Lamb wave band structure in phononic crystal composed of multiple square stubs symmetric or anti-symmetric deposited on a homogeneous plate

This paper theoretically investigates the propagation of Lamb waves in a two-dimensional (2D) phononic crystal (PC) structure composed of multiple square stubs symmetric or anti-symmetric deposited on a thin homogeneous plate. The dispersion relations, the power transmission spectra and the displacement fields of the eigenmodes are studied by using the finite-element method (FEM). We investigate the effect of the distance between adjacent square stubs on the band gaps (BGs). The results show that the distance between adjacent square stubs can remarkably change the location and the width of the BGs. Meanwhile, we conducted a numerically study on the different results between the anti-symmetric and symmetric distribution of the scatterers. The band structure of the anti-symmetric structure PC is significantly different from the symmetric structure. In general, the distribution of the square stubs has an influence on the band structures. We further identify the physical mechanism of the distinction in the formation of the BG between the anti-symmetric and the symmetric model through the displacement fields of the eigenmodes. In addition, we find that the variation of the PC BGs in anti-symmetric and symmetric structure are sensitive to the distance between adjacent square stubs, which could be indispensable to practical applications such as BG tuning.