The article gives the differential equation of bending of a thin plate at nonlinear creep. This equation is suitable for arbitrary dependencies between stresses and creep deformations. Derivation of the equation is based on simplifying hypotheses Kirchhoff-Loves technical theory of plate bending. Solution is made numerically by finite difference method. Calculations were performed in mathematical package MATLAB. As the material was taken epoxy polymer EDT-10, for which is valid the physical law of Maxwell-Gurevich. It is shown that with the growth of displacements the maximum stresses in the polymer plate decrease.

The problem of stability of the polymer rod in creeping was solved by energy method in the form of Timoshenko and Ritz. Possible displacements of the points were given in the form of a trigonometric series with undetermined coefficients. Results obtained numerically using complex Matlab under different constraint equations between creep deformations and stresses. There are shown the necessity of taking into account the "junior" component of high-elastic deformation by using the Maxwell-Gurevich equation.

The article proposes the simplified method for determining stresses in massive monolithic foundation slabs arising from the heat release of concrete during the hardening process. The proposed technique makes it possible to reduce a three-dimensional problem to a one-dimensional one based on the features of the distribution of stresses and strains in the structures under consideration, identified during finite element modeling in a three-dimensional setting. The resulting resolving equations take into account the creep and shrinkage of concrete, the coefficient of reinforcement of the structure. The strength and deformation characteristics of concrete are assumed as functions of the degree of maturity of the concrete, which in turn is determined by the time and temperature of curing. Approbation of the developed model is carried out by comparison with the calculation in a three-dimensional setting in the ANSYS software package. The influence of creep and contraction shrinkage of concrete, the degree of concrete maturity and the coefficient of reinforcement on the stress-strain state of structures is investigated.

The method of the steel structures diagnosis is considered with nondestructive test by truncated cone indentation. Recently, great interest in the nondestructive evaluating of the steel mechanical properties at real structures is developed in many applied problems. Dynamic indentation method is one of the most effective because of compatibility and accuracy. For this purpose static and dynamic problem of axisymmetric elasticplastic truncated cone indentation is solved and the results are compared with finite element analysis and experimental data. The method of nondestructive evaluating of mechanical characteristics is suggested and devise of the realization of the method is tested at real structures.

Abstract. The problem of optimization of building structures is considered in architectural bionic modeling on the bionic principle basis. It is possible to get a reliable and durable constructions by studying the structure and the laws of organization of natural objects. Modern architects have created unique buildings using the bionic approach. There are such properties as symmetry, asymmetry, self-similarity and fractality used in the modern architecture. Using the methods of fractal geometry in the design of architectural forms allows finding a variety of constructive solutions.