Vol.8, No 2, 2010 pp. 201 - 210
UDC
624.01:519.711(045)=111
DOI: 10.2298/FUACE1002201B
MATHEMATICAL MODELING OF MATERIALLY NONLINEAR PROBLEMS IN STRUCTURAL ANALYSES
(PART II – APPLICATION IN CONTEMPORARY SOFTWARE)
Zoran Bonić, Todor Vacev, Verka Prolović,
Marina Mijalković, Petar Dančević
University of Niš, Faculty of Civil Engineering and Architecture, Serbia
The paper presents application of nonlinear material models in the software package Ansys. The development of the model theory is presented in the paper of the mathematical modeling of material nonlinear problems in structural analysis (part I - theoretical foundations), and here is described incremental-iterative procedure for solving problems of nonlinear material used by this package and an example of modeling of spread footing by using Bilinear -kinematics and Drucker-Prager mode was given. A comparative analysis of the results obtained by these modeling and experimental research of the author was made. Occurrence of the load level that corresponds to plastic deformation was noted, development of deformations with increasing load, as well as the distribution of dilatation in the footing was observed. Comparison of calculated and measured values of reinforcement dilatation shows their very good agreement.
Key words:
material models, nonlinearity, Bilinear kinematic, Drucker Prager, experiment.
MATEMATIČKO MODELIRANJE MATERIJALNO NELINEARNIH PROBLEMA U ANALIZI KONSTRUKCIJA
(II DEO – PRIMENA U SAVREMENOM SOFTVERU)
U radu je data primena nelinearnih modela materijala u softverskom paketu Ansys. Razvoj teorije modela je predstavljen u radu pod nazivom matematičko modeliranje nelinearnih problema materijala u analizi konstrukcija (deo I – teorijske osnove), a ovde je opisana inkrimentalno-iterativna procedura za rešavanje problema materijalne nelinearnosti koja se koristi u ovom paketu i dat primer modeliranja temelja samca korišćenjem Bilinearno-kinematičkog i modela Drucker-Pragera. Urađena je komparativna analiza rezultata dobijenih primenom ovih modela sa eksperimentalnim istraživanjima autora ovog rada. Uočen je nivo opterećenja koji odgovara pojavi plastičnih deformacija, njihov razvoj sa porastom opterećenja kao i raspodela dilatacija u temelju. Poređenje tako sračunatih i izmerenih vrednosti dilatacija armature pokazuje njihovo veoma dobro slaganje.
Ključne reči:
modeli materijala, nelinearnost, Bilinearno kinematički, Drucker Prager, eksperiment