Development of Methods for Mathematical and Computer Modeling of Physically Nonlinear Mechanical Processes Research Group

1. Research Team

Principal Investigator: Prof. Oleksiy Larin

Prof. Dmytro Breslavsky 

Prof. Oleg Morachkovsky 

Prof. Oksana Tatarinova

Prof. Volodymyr Mietielov

Ms. Alyona Senko 

Mr. Serhii Bondar 

2. Key Projects

Development of a method for evaluating high-temperature deformation and degradation of properties in structural elements of turbomachinery (Funded by Ministry and of Education and Science of Ukraine, 2024-2026) :

The main objective of the project is to develop a method for calculating the stress-strain state and assessing the possibility of loss of operational qualities due to degradation of physical and mechanical properties and fracture of structural elements of gas turbine engines and steam and gas turbines. Research and development include: mathematical formulations of problems for determining the stress-strain state and the possibility of fracture at high temperatures in cases of: corrosive influences and surfaces; wear of structural elements; low-intensity impact effects. For each of the above cases, a modification of the calculation method is created, based on finite element modeling for boundary value problems and integration over time using finite difference methods. The basis of each component of the method are developed or modernized equations of state with the formulation of the corresponding evolution equations for structural parameters. The calculation method is built with implementations in research and specialized software. Results of determining the stress-strain state and the distribution of hidden latent damage under corrosive influences and surface wear, including moderate cyclic impact influences, in structural elements of turbomachinery will be obtained.

Development of method for the calculations of cyclic creep and long term strength of turbines and gas turbine engines structural elements (Funded by Ministry of Education and Science  of Ukraine, 2022-2023):

The object of the study is creep and long-term strength of structural elements of turbines and gas turbine engines. The purpose of the project is to develop a method for calculating cyclic creep and long-term strength of structural elements of gas turbine engines and turbines. Models for finite element modeling of creep of structural elements of turbines and gas turbine engines have been developed. Cycles of numerical analysis of creep and accumulation of hidden damage in models of rotors, blades and blade roots under static and cyclic loading have been carried out. Cyclic overloads, multi-cycle fatigue, partial fracture during operation have been taken into account. An experimental unit for testing creep and long-term strength of specimens and models has been developed and manufactured. 

Numerical investigations of the influence of different factors on the form’s varying  projects of the reactor vessel internals in the conditions of thermal and irradiation fields (Funded by National Scientific CenterKharkiv Institute for Physics and Technics National Academy of Sciences of Ukraine, 2023):

The object of research and development is the structural elements of the nuclear reactor vessel internals: the baffle, fuel rods, fastening elements. The purpose of the work is to numerically study the influence of anisotropy and degradation of material properties, load cyclicity on the deformation of the elements of the internal devices of the reactor under the action of thermal and radiation fields. A mathematical formulation of the problems of determining the stress-strain state and the level of hidden damage in the structural elements of the NPP is provided. New approaches have been created, methods for numerical modeling of the processes of long-term deformation of models of structural elements of the NPP nuclear reactor, such as the baffle, fuel rods when in contact with the tube sheet, fastening elements have been improved. A computational analysis of the stress-strain state of a baffle model has been performed taking into account thermoelastic deformation, irradiation creep, irradiation swelling and hydrogen embrittlement. An analysis of swelling anisotropy and creep and damage properties for the deformed state and time to completion of hidden damage accumulation of structural elements with stress concentrators was carried out. The results of solving the elastoplastic problem of contact between fuel rod and tube sheet surfaces were obtained and a method for assessing wear at the contact site was proposed. 

SPS NATO GrantComposite Metamaterials for Aerospace StructuresCoMetA2023-2025:

The investigations are carried out in the direction of numerical and experimental studies of the physical and mechanical properties of the inner layer of three-layer panels, which is built from hexachiral chiral unit cells, and on the basis of the obtained data to conduct a numerical analysis of the deformed state of the three-layer plates under static and impact loading. 

Investigation of thermal influence on errors in orientation systems used in aerospace engineering  2024-2025 :

The project is devoted to the development of a method for determining and minimizing the influence of thermal fields on the occurrence of errors in the orientation systems of spacecraft. Artificial satellites of the Earth (AES) whose on-board orientation determination system includes fiber-optic gyroscopes (FOG) are considered. During orbital motion, the spacecraft is differently affected by solar radiation, which causes non-stationary thermal conditions for the operation of on-board equipment. During rapid heating or cooling, significant temperature gradients occur in the structural elements of devices, which can lead to thermal deformation. The project investigates the influence of non-stationary thermal fields on orientation determination errors due to thermal effects in FOG and deformation of the supporting structure. Determination of thermal fields and the deformed state of device elements is performed thanks to numerical modelling based on the Finite Element Method (FEM). The obtained characteristics of the thermal and deformed state are used in the operation of algorithms for minimizing device errors, which will be developed in the project. The result of the research will be the development of a methodology for the design of the layout of the on-board equipment of the satellite in order to increase the accuracy of determining the orientation due to the minimization of the thermal effect on the operation of the equipment.

3. Contact Information

Department of MMI , NTU “KhPI”

Principal Investigator Contact:

Prof. Oleksiy Larin

Email: