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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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.
Influence of the element type on the accuracy of creep-damage predictions in thin-walled structures
(Cracow University of Technology, 2001) Naumenko, Konstantin; Altenbach, Holm; Huang, Chunxiao; Burlayenko, Vyacheslav. N.
Based on the continuum creep-damage mechanics and the finite element analysis the long-term strength in thin-walled structures is estimated using the solid and the shell type finite elements available in ANSYS code. For this purpose the material model with a scalar damage parameter is incorporated into the ANSYS code with the help of a user defined material subroutine. The results based on the first order shear deformation beam equations are compared with the results of the finite element plane stress simulations. It is demonstrated that the shear correction factor and the distribution function of the transverse shear stress have to be modified within time-step calculations. For a rectangular plate in bending finite element analysis is performed based on the shell and the solid type finite elements. The differences in the edge-zone stress redistributions in the shell and the solid type models as well as the influence of boundary layer solutions on the long-term predictions are illustrated.
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 studies of the dynamic behaviour of sandwich plates initially weakened by the impact damage
(Left Grupa, Poland, 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 is investigated using commercially available finite element code ABAQUSᵀᴹ.
Influence of skin/core debonding on free vibration behavior of foam and honeycomb cored sandwich plates
(Lublin University of Technology, Poland, 2008) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz
The dynamic behavior of partially debonded at the skin/core interface sandwich plates with flexible cores is studied. The commercial finite element code ABAQUS is used to calculate natural frequencies and mode shapes of the debonded sandwich plates. 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 debonded sandwich plates.