Title of article :
A development in the finite volume method for the crack growth analysis without global remeshing
Author/Authors :
Amraei, A. Department of Civil Engineering - University of Guilan, Rasht, Iran , Fallah, N. Department of Civil Engineering - University of Guilan, Rasht, Iran
Abstract :
Crack growth analysis has remained one of the challenging problems in the fracture mechanics of structures. On the other hand, the fatigue crack growth is a common phenomenon in the components of structures like airplanes, navies and fluid storages where the fracture due to crack should be considered in the design of these structures. In this paper, the finite volume method (FVM) is extended for the modeling of static and fatigue crack propagation for two-dimensional problems. In the present method, due to the crack growth, no global remeshing is needed where only a cell dividing near the crack tip can be used which is easy to implement during the analysis. The accuracy of the method is studied by solving several benchmark problems and the results obtained are compared with the available analytical and numerical results. It is observed that the results obtained have good accuracy comparing with the references results.
Farsi abstract :
ﺗﺤﻠﯿﻞ رﺷﺪ ﺗﺮك ﺑﻪ ﺻﻮرت ﯾﮑﯽ از ﻣﺴﺎﺋﻞ دﺷﻮار در ﻣﮑﺎﻧﯿﮏ ﺷﮑﺴﺖ ﺳﺎزهﻫﺎ ﺑﺎﻗﯽ ﻣﺎﻧﺪه اﺳﺖ. از ﻃﺮﻓﯽ، رﺷﺪ ﺗﺮك ﺧﺴﺘﮕﯽ، ﭘﺪﯾﺪه اي ﻣﺘﺪاول در ﺳﺎزهﻫﺎﯾﯽ ﻫﻤﭽﻮن ﺑﺎل ﻫﻮاﭘﯿﻤﺎﻫﺎ، ﮐﺸﺘﯽﻫﺎ و ﻣﺨﺎزن ﻣﺎﯾﻌﺎت ﻣﯽﺑﺎﺷﺪ. ﻟﺬا ﺑﺮرﺳﯽ اﺛﺮ ﺷﮑﺴﺖ ﻧﺎﺷﯽ از اﯾﻦ ﻧﻮع ﺗﺮك ﺧﻮردﮔﯽ در ﻃﺮاﺣﯽ اﯾﻦ ﮔﻮﻧﻪ ﺳﺎزهﻫﺎ ﺿﺮورﯾﺴﺖ. در اﯾﻦ ﺗﺤﻘﯿﻖ روش ﺣﺠﻢ ﻣﺤﺪود ﺑﺮاي ﻣﺪل ﻧﻤﻮدن ﭘﺨﺶ ﺗﺮك اﺳﺘﺎﺗﯿﮑﯽ و ﺧﺴﺘﮕﯽ در ﻣﺴﺎﺋﻞ دو ﺑﻌﺪي ﺗﻮﺳﻌﻪ داده ﻣﯽﺷﻮد. در روش ﺣﺎﺿﺮ ﻧﯿﺎزي ﺑﻪ ﻣﺶ ﺑﻨﺪي ﻣﺠﺪد ﮐﻞ ﻣﺴﺎﻟﻪ در ﻫﺮ ﻣﺮﺣﻠﻪ از رﺷﺪ ﺗﺮك ﻧﯿﺴﺖ، و ﻓﻘﻂ ﺳﻠﻮل ﻫﺎي واﻗﻊ در ﻧﻮك ﺗﺮك ﺗﻘﺴﯿﻢ ﻣﯽﮔﺮدﻧﺪ و اﯾﻦ اﻣﺮ ﺑﻪﺳﺎدﮔﯽ در ﻃﯽ آﻧﺎﻟﯿﺰ ﺻﻮرت ﻣﯽﮔﯿﺮد. دﻗﺖ روش ﭘﯿﺸﻨﻬﺎدي ﺑﺎ ﺣﻞ ﭼﻨﺪﯾﻦ ﻣﺴﺎﻟﻪ ﻣﻄﺎﻟﻌﻪ ﻣﯽﮔﺮدد. ﻧﺘﺎﯾﺞ ﺣﺎﺻﻞ ﺑﺎ ﻧﺘﺎﯾﺞ ﺗﺤﻠﯿﻠﯽ و ﻧﺘﺎﯾﺞ ﻋﺪدي ﻣﻮﺟﻮد ﻣﻘﺎﯾﺴﻪ ﺷﺪه و ﻣﺸﺎﻫﺪه ﻣﯽﺷﻮد ﮐﻪ اﯾﻦ ﻧﺘﺎﯾﺞ داراي دﻗﺖ ﺧﻮﺑﯽ در ﻣﻘﺎﯾﺴﻪ ﺑﺎ ﻧﺘﺎﯾﺞ ﻣﺮﺟﻊ ﻣﯽ ﺑﺎﺷﺪ
Keywords :
Crack Growth , Interaction Integral , Finite Volume , Moving Least Squares
Journal title :
International Journal of Engineering