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 47

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.
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.
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.