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 21

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.
Post-impact dynamic response of sandwich plates with foam and non-metallic honeycomb core
(Sapienza Università di Roma, 2011) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz
A finite element (FE) model has been developed for analyzing the dynamic response of sandwich plates with a postimpact damage inducing core crushing, face sheet damage and core-to-face sheet debonding. Calculation of natural frequencies as well as simulation of strongly nonlinear transient dynamic response of impact-damaged sandwich plates is carried out with the ABAQUS code. The influence of parameters of impact-induced damage on dynamic behavior of sandwich plates with foam and nonmetallic honeycomb cores is discussed.
Free vibration of sandwich plates with impact-induced damage
(2009) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz
Free vibrations of impact-damaged sandwich plates with honeycomb and foam cores are studied. It is assumed that damages caused by impact events are to exist before the vibration start and to be constant during oscillations. The influence of the impact damage modes involving the core crushing (planar damage), face sheets fracture (indentation) and the core to face sheets interface degradation (debonding) on the natural frequencies and associated mode shapes of the sandwich plates was investigated using commercially available finite element code ABAQUS.
Finite element analysis of dynamic responses for honeycomb sandwich plates initially damaged by skin/core partial debonding
(Artes Graficas Torres S. L., Spain, 2008) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz
Dynamics of sandwich plates weakened by single/multiple debonding
(University of Zielona Góra Press, 2009) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz
The dynamic behavior of partially damaged at the skin/core interface sandwich plates with flexible honeycomb and polyvinyl chloride (PVC) foam cores are studied. The commercial finite element code ABAQUS is used to calculate natural frequencies and mode shapes of the sandwich plates with the debond zone. The effects of debonding size, debonding location and number of debonding on the modal parameters of damaged sandwich plates with various boundary conditions are investigated. The results of dynamic analysis illustrated that can be useful for analyzing practical problems related to the non-destructive damage detection of delaminated sandwich plates.
Dynamics and fracture of impacted sandwich composites under time varying loads: Numerical modelling and simulations
(CongressLine Ltd., Hungary, 2017) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz; Dimitrova, Svetlana
In this study, the dynamics and fracture of sandwich plates containing a pre-existing skin-to-core interfacial damage and subinterfacial core damage induced by an incident impact is examined. The dynamic response of sandwich plates with debonding that is allowed to be growing with a time, is simulated by using the finite element method within the ABAQUS code. The forced vibration analysis of impact-damaged sandwich plates is carried out accounting for contact and friction conditions within the debonded region in the simulations with ABAQUS. The damage mechanics approach implemented into ABAQUS via cohesive elements is used for modelling the debonding propagation under impulsive and harmonic loading. The influence of the skin-to-core debonding growth on the global nonlinear dynamics and strength of the sandwich plates is studied in detail.
Application of Homogenization FEM Analysis to Aluminum Honeycomb Core Filled with Polymer Foams
(2010) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz
The effect of polyvinyl chloride (PVC) foam filler on elastic properties of a regular hexagonal aluminum honeycomb core is studied. The unit cell strain energy homogenization approach based on the finite element method (FEM) within ABAQUS code is applied for prediction of effective material constants of the foam-filled honeycomb core. The developed FE model is then used to observe a three-dimensional stress state over the hexagonal unit cell and, thereby, to assess the influence of the foam-filling on the distribution of the local interfacial stresses.
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