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SARATOV, March 30, Eduard Demyanets. Scientists of the Saratov State Technical University have developed a new mathematical model that will help in the design and creation of devices with nanoelements in the space and aviation industries , according to the press service of the university.
«Scientists of the scientific team of the Department of Mathematics and Modeling of the Physical-Technical Institute of the SSTU have developed an economical and correct iterative method for calculating the stress-strain state of nanoplates… According to scientists, the developed new mathematical model of nonlinear nanoplates and effective methods for analyzing partial differential equations have a wide scientific and practical significance in the design and creation of sensitive elements of nanoelectromechanical systems, as they more accurately describe the actual operating conditions of devices,” the university noted.
The authors of the technique explained that the correctness of the method is ensured by the theorems of convergence of the method of variable elasticity parameters and the method of variational iterations.
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"Thin-walled spatial structures are used in many areas of aerospace and space technology, instrument making when creating devices with nanoelements in the form of plates, which are often subjected to significant static loads leading to plastic deformations … Solutions obtained for the elastoplastic bending of plates, taking into account nanoeffects, Hardly ever. The method of variational iterations — the extended Kantorovich method — was not used, and this work is the first attempt in this direction,» the university emphasized.
It is specified that the authors of the development were university professors Vadim Krysko, Maxim Zhigalov, Anton Krysko and graduate student Alexei Tebekin, and scientific research was carried out in cooperation with the Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences.