Кафедра "Прикладна математика"

Постійне посилання колекціїhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/4610

Офіційний сайт кафедри http://web.kpi.kharkov.ua/apm

Від 1981 року кафедра має назву "Прикладна математика", первісна назва – кафедра теоретичної й математичної фізики.

Кафедра теоретичної й математичної фізики була заснована в 1947 році. Організатором і першим завідувачем цієї кафедри був відомий вчений-математик, фахівець із конструктивної теорії функцій, член-кореспондент Української Академії наук Наум Ілліч Ахієзер. У 1970 році кафедра цілком чітко взяла курс на дослідження прикладних питань математики, і ще тоді припускалося перейменування кафедри в кафедру "Прикладна математика".

Кафедра входить до складу Навчально-наукового інституту комп'ютерного моделювання, прикладної фізики та математики Національного технічного університету "Харківський політехнічний інститут".

У складі науково-педагогічного колективу кафедри працюють: 1 доктор технічних наук, 1 доктор фізико-математичних наук, 5 кандидатів технічних наук, 4 кандидата фізико-математичних наук; 2 співробітника мають звання професора, 8 – доцента, 1 – старшого наукового співробітника.

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Зараз показуємо 1 - 10 з 17

Finite element modelling and simulations of sandwich beam dynamics considering crack growth and contact
(ARSA Druk i Reklama, Lodz, Poland, 2019) Burlayenko, V. N.
Influence of Dynamic Loading on Fracture Behaviour of DCB Sandwich Specimen
(2019) Burlayenko, V. N.; Sadowski, Tomasz; Pietras, D.
Numerical simulations of dynamic fracture behaviour of a double cantilever sandwich beam subjected to uneven bending moments in plane conditions are carried out using the dynamic finite element analyses with the ABAQUSTM code. The strain energy release rate was evaluated by means of the finite element model developed within the two-dimensional (2-D) linear elastodynamic theory. This demonstrates the capability and the reliability of the finite element modelling as an extremely useful numerical tool for solving dynamic fracture mechanics problems. Also, the dynamic behaviour of fracture parameters and interface crack progression is discussed.
Numerical modal analysis of sandwich plates partially damaged due to impacts
(Національний технічний університет "Харківський політехнічний інститут", 2010) Burlayenko, V. N.; Sadowski, Tomasz
Dynamic responses of sandwich composite plates containing impactinduced damage are studied. A finite element formulation of the problem is developed by using the high-order sandwich plate theory. The finite element code ABAQUS is used to create a finite element model of the sandwich plate accounting for geometrical imperfections, stiffness changes and intermediate contact of detached plate parts caused by impact damage and to fulfil the free and forced vibration analyses.
Numerical modeling of dynamics of sandwich plates with partially damaged facesheet-to-core interface
(Apostrophe, 2011) Burlayenko, V. N.; Sadowski, Tomasz; Nazarenko, S. A.
A finite element (FE) model has been developed for analysis of the dynamic response of sandwich plates with partially damaged facesheet-to-core interface. The effect of intermittent dynamic contact between the fragments detached at the damaged interface is taken into account in the vibrating sandwich plate. The general mathematical statement of such non-linear elastodynamic problem for a cracked body is first formulated. Numerical results for the transient and steadystate dynamic responses of a foam-cored sandwich plate damaged by debonding are obtained by using the ABAQUS code. The influence of the strongly nonlinear local contact behavior on dynamics of the sandwich plate is examined.
FE modeling of dynamics of impact damaged sandwich plates with intermittent CONTACT in detached fragments
(Wydawnictwo-Drukarnia Liber Duo s.c., 2010) Burlayenko, V. N.; Sadowski, Tomasz
FE modeling of delamination growth in interlaminar fracture specimens
(Politechnika Lubelska, 2008) Burlayenko, V. N.; Sadowski, Tomasz
Interlaminar fracture specimens like Double Cantilever Beam (DCB), End Notched Flexural (ENF), Single Leg Bending (SLB) etc. are widely used for studying the interlaminar toughness of composite laminates. The aim of this paper is to analysis delamination specimens within the framework of a meso-level damage modeling of composite laminates. In this case interlaminar interface is assumed as a damageable homogeneous layer between adjacent layers of the specimen bulk material. The degradation of the interlaminar connection can be taken into account by means either of an appropriate damage initiation criterion and damage evolution law or using fracture mechanics approach. Onset and growth of the delamination pre-existing crack in the fracture specimens are simulated by using both modeling possibility within commercial finite element code ABAQUSᵀᴹ. Comparisons between numerical predictions of used different finite element models as well as available experimental data have been performed.
Finite-element free vibration and buckling analyses of sandwich plates with honeycomb and foam cores
(National Technical University "Kharkov Polytechnic Institute", 2007) Sadowski, Tomasz; Burlayenko, V. N.
The free vibration and linear buckling analyses of the sandwich flat panels has been considered. The commercial finite element ABAQUS software was used to calculate natural frequencies and bearing capacities of sandwich plates with honeycomb and foam cores. These problems were analysed to assess the role of the core on the natural frequencies and critical loads of sandwich plates. The calculated for sandwich plates results were compared with those for solid plates having the same weight. According to the comparative results the structural performance of the sandwich plates are discussed.
Analysis of structural performance of aluminium sandwich plates with foam-filled hexagonal cores
(2007) Sadowski, Tomasz; Burlayenko, V. N.
Creep damage anisotropy of thinwalled elements structures
(IPPT PAN, Poland, 2004) Morachkovsky, O. K.; Burlayenko, V. N.
The paper is devoted to the development and theoretical justification of an anisotropy creep damage material model. For the description of initial anisotropy and damage-induced anisotropy the second-order damage tensor has been used. The numerical method of anisotropy creep damage lifetime prediction in thin-walled elements of structures was elaborated on the basis of the proposed model and FE scheme. The results of anisotropy creep damage analysis in models of plates were discussed.
Thermal shock analysis of a functionally graded plate using finite element method
(Цифрова друкарня, 2016) Burlayenko, V. N.; Bhaskar, Atul