Incremental extended finite element method for thermal cracking of mass concrete at early ages

다국어 초록 (Multilingual Abstract)

Thermal cracks are cracks that commonly form at early ages in mass concrete. During the concrete pouring process, the elastic modulus changes continuously. This requires the time domain to be divided into several steps in order to solve for the temperature, stress, and displacement of the concrete. Numerical simulations of thermal crack propagation in concrete are more difficult at early ages. To solve this problem, this study divides crack propagation in concrete at early ages into two cases: the case in which cracks do not propagate but the elastic modulus of the concrete changes and the case in which cracks propagate at a certain time. This paper provides computational models for these two cases by integrating the characteristics of the extended finite element algorithm, compiles the corresponding computational programs, and verifies the accuracy of the proposed model using numerical comparisons. The model presented in this paper has the advantages of high computational accuracy and stable results in resolving thermal cracking and its propagation in concrete at early ages.

참고문헌 (Reference)

1 Elena, B., "XFEM with equivalent eigenstrain for matrix– inclusion interfaces" 53 (53): 893-908, 2014

2 Liu G., "XFEM for thermal crack of massive concrete" 12 : 261-294, 2013

3 Waller, V., "Using the maturity method in concrete cracking control at early ages" 26 (26): 589-599, 2004

4 Bordas S., "Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment" 75 (75): 943-960, 2008

5 Kim, J. K., "Thermal analysis of hydration heat in concrete structures with pipe-cooling system" 79 (79): 163-171, 2001

6 Zhu, B. F., "Thermal Stress and Temperature Control of Mass Concrete" China Electric Power Press 1998

7 Sneddon, I. N., "The distribution of stress in the neighborhood of a crack in an elastic solid" 187 (187): 229-260, 1946

8 Atluri, S. N., "The Meshless Local Petrov-Galerkin (MLPG) Method" Tech Science Press 2002

9 Liu W. K., "Reproducing kernel particle methods in fluids" 38 (38): 1655-1679, 1995

10 Zhu, B. F., "On pipe cooling of concrete dams" 41 (41): 505-513, 2010

11 Golebiewska Herrmann, A., "On energy-release rates for a plan crack" 48 (48): 525-528, 1981

12 Himanshu, P., "Numerical simulation of bi-material interfacial cracks using EFGM and XFEM" 8 (8): 9-36, 2012

13 Wang, J., "Numerical analysis of crack propagation in tension specimens of concrete considered as a 2D multicracked granular composite" 30 (30): 11-21, 1997

14 Sfantos, G. K., "Multi-scale boundary element modelling of material degradation and fracture" 196 (196): 1310-1329, 2007

15 Stolarska, M., "Modeling crack growth by level sets in the extended finite element method" 51 (51): 943-960, 2016

16 Linder, C., "Finite elements with embedded strong discontinuities for the modeling of failure in solids" 72 (72): 1391-1433, 2007

17 Linder, C., "Finite elements with embedded branching" 45 (45): 280-293, 2009

18 Dvorkin, E. N., "Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions" 30 (30): 541-564, 2010

19 Schutter, G. D., "Finite element simulation of thermal cracking in massive hardening concrete elements using degree of hydration based material laws" 80 (80): 2035-2042, 2002

20 Jiachun Wang, "Evaluation of early age mechanical properties of concrete in real structure" 사단법인 한국계산역학회 12 (12): 53-64, 2013

21 Belytschko T., "Element-free Galerkin methods" 37 (37): 229-256, 1994

22 Belytschko T., "Elastic crack growth in finite elements with minimal remeshing" 45 (45): 601-620, 1999

23 Belytschko, T., "Dynamic crack propagation based on loss of hypertonicity and a new discontinuous enrichment" 58 (58): 1873-1905, 2003

24 Aliabadi, M. H., "Boundary element formulations in fracture mechanics" 50 (50): 83-96, 1997

25 Pan, E., "Boundary element analysis of three-dimensional cracks in anisotropic solids" 48 (48): 211-237, 2000

26 Zhenyang Zhu, "An improvement on the concrete exothermic models considering self-temperature duration" 사단법인 한국계산역학회 19 (19): 659-666, 2017

27 Zuo, Z., "An extended finite element method for pipe embedded plane thermal analysis" 102 : 52-64, 2015

28 Dong, Y. W., "An extended finite element method for modeling hydraulic fracturing in gravity dam" 42 (42): 1361-1367, 2011

29 Hanen Jrad, "An extended finite element method for modeling elastoplastic FGM plate-shell type structures" 국제구조공학회 68 (68): 299-312, 2018

30 Jiang, Y., "An edge-based smoothed XFEM for fracture in composite materials" 179 (179): 179-199, 2013

31 Simpson, R. N., "A two-dimensional isogeometric boundary element method for elastostatic analysis" 209-212 (209-212): 87-100, 2012

32 Zhenyang Zhu, "A new method solving the temperature field of concrete around cooling pipes" 사단법인 한국계산역학회 11 (11): 441-462, 2013

33 Moës, N., "A finite element method for crack growth without remeshing" 46 (46): 131-150, 1999