Crack propagation in elastic solids using the truss-like discrete element method (original) (raw)
Abraham FF, Brodbeck D, Rudge WE, Xu X (1997) A molecular dynamics investigation of rapid fracture mecahnics. J Mech Phys Solids 45: 1595–1619 ArticleCAS Google Scholar
Agwai A, Guven I, Madenci E (2011) Predicting crack propagation with peridynamics: a comparative study. Int J Fract 171(1): 65–78 Article Google Scholar
Aliabadi MH, Rooke DP (1991) Numerical fracture mechanics. Computacional Mechanics Publicactions and Kluwer, Southampton Book Google Scholar
Aliabadi MH, Saleh AL (2002) Fracture mechanics analysis of cracking in plain and reinforced concrete using the boundary element method. Eng Fract Mech 69: 267–280 Article Google Scholar
Anderson TL (2005) Fracture mechanics. fundamentals and applications. CRC Press, Boca Ratón Google Scholar
Barrios D’Ambra RL, Iturrioz I, Coceres H, Kosteski L, Tech TW, Cisilino A (2007) Cálculo del factor de intensidad de tensiones utilizando el método de los elementos discretos. Revista Sul-Americana de Engenharia Estrutural 4: 7–20 Google Scholar
Bathe KJ (1996) Finite element procedures. Prentice-Hall, New Jersey Google Scholar
Batra RC, Ching HK (2002) Analysis of elastodynamic deformations near a crack/notch tip by the Meshless Local Petrov-Galerkin (MLPG) method. Comput Model Eng Sci 3: 717–730 Google Scholar
Belytschko T, Lu YY, Gu L (1994) Element-free Galerkin methods. Int J Numer Methods Eng 37: 229–256 Article Google Scholar
Belytschko T, Lu YY, Gu L (1995) Crack propagation by element-free Galerkin methods. Eng Fract Mech 51: 295–315 Article Google Scholar
Belytschko T, Chen H, Xu J, Zi G (2003) Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Int J Numer Methods Eng 58: 1873–1905 Article Google Scholar
Brara A, Camborde F, Klepaczko JR, Mariotti C (2001) Experimental and numerical study of concrete at high strain rates in tension. Mech Mater 33: 33–45 Article Google Scholar
Chiaia B, Vervuurt A, Van Mier JG (1997) Lattice model evaluation of progressive failure in disordered particle composites. Eng Fract Mech 57(2/3): 301–318 Article Google Scholar
Cundall PA, Hart RD (1989) Numerical modelling of discontinua. Proc 1st US Conf Discrete Element Methods (Golden, CO), pp 1–17
Dalguer LA, Irikura K, Riera JD, Chiu HC (2001) The importance of the dynamic source effects on strong ground motion during the 1999 Chi-Chi, Taiwan, earthquake: brief interpretation of the damage distribution on buildings. Bull Seismol Soc Am 91/5: 1112–1127 Google Scholar
Das BM (1982) Principles of soil dynamics. El Paso, Texas Google Scholar
Falk ML, Needleman A, Rice JR (2001) A critical evaluation of dynamic fracture simulations using cohesive surfaces. J Phys IV 11: 43–52 Article Google Scholar
Freund LB (1998) Dynamic fracture mechanics. Cambridge University Press, Cambridge Google Scholar
Furuya Y, Noguchi H (1998) A combined method of molecular dynamics with micromechanics improved by moving the molecular dynamics region successively in the simulation of elastic–plastic crack propagation. Int J Fract 94: 17–31 ArticleCAS Google Scholar
Gao H (1996) A theory of local limiting speed in dynamic fracture. J Mech Phys Solids 44: 1453–1474 ArticleCAS Google Scholar
Guo YJ, Nairn JA (2004) Calculation of J-integral and stress intensity factors using the material point method. Comput Model Eng Sci 6: 295–308 Google Scholar
Ha YD, Bobaru F (2011) Characteristics of dynamic brittle fracture captured with peridynamics. Eng Fract Mech 78(6): 1156–1168 Article Google Scholar
Ha YD, Bobaru F (2010) Studies of dynamic crack propagation and crack branching with peridynamics. Int J Fract 162(1): 229–244 Article Google Scholar
Huespe AE, Oliver J, Sanchez PJ, Blanco S, Sonzogni V (2006) Strong discontinuity approach in dynamic fracture simulations. Mecánica Computacional 24: 1997–2018 Google Scholar
Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 24: 361–364 Google Scholar
Iturrioz I, Miguel LFF, Riera JD (2009) Dynamic fracture analysis of concrete or rock plates by means of the discrete element method. Lat Am J Solids Struct 6: 229–245 Google Scholar
Kalthoff JF, Winkler S (1987) Failure mode transition at high rates of shear loading. Int Conf Impact Load Dyn Behav Mater 1: 185–195 Google Scholar
Kosteski L, Barrios R, Iturrioz I. (2008) Determinación de parámetros fractomecánicos estáticos y dinámicos utilizando el método de los elementos discretos compuestos por barras. Revista Internacional Métodos numéricos para cálculo y diseño en ingeniería, Cimne 24: 323–343 Google Scholar
Kosteski L, Barrios R, Iturrioz I. (2009) Fractomechanics parameter calculus using the discrete element method with bars. Lat Am J Solids Struct 6: 301–321 Google Scholar
Kosteski L, Iturrioz I, Batista RG, Cisilino AP (2011) The truss-like discrete element method in fracture and damage mechanics. Eng Comput 28: 6–765787 Google Scholar
Kupfer HB, Gerstle KH (1973) Behaviour of concrete under biaxial stresses. J Eng Mech Div Am Soc Civ Eng 99: 853–866 Google Scholar
Miguel LFF, Riera JD, Iturrioz I (2008) Influence of size on the constitutive equations of concrete or rock dowels. Int J Numer Anal Methods Geomech 32/15: 1857–1881 Article Google Scholar
Miguel LFF, Iturrioz I, Riera JD (2010) Size effects and mesh independence in dynamic fracture analysis of brittle materials. Comput Methods Model Eng Sci 56: 1–16 Google Scholar
Munjiza A, Bangash T, John NWM (2004) The combined finite-discrete element method for structura failure and collapse. Eng Fract Mech 71: 469–483 Article Google Scholar
Murphy N, Ali M, Ivankovic A (2006) Dynamic crack bifurcation in PMMA. Eng Fract Mech 73: 2569–2587 Article Google Scholar
Nayfeh AH, Hefzy MS (1978) Continuum modeling of three-dimensional truss-like space structures. AIAA J 16/8: 779–787 Article Google Scholar
Needleman A (1987) A continuum model for void nucleation by inclusion debonding. J Appl Mech 54: 525–531 Article Google Scholar
Nishioka T (1998) On the dynamic J Integral in dynamic fracture mechanics. In: Cherepanov GP (eds) FRACTURE: a topical encyclopedia of current knowledge dedicated to alan arnold grith. Krieger Publishing Company, Malabar, pp 575– 617 Google Scholar
Oliver J, Huespe AE, Pulido MGD, Chaves E (2001) From continuum mechanics to fracture mechanics: the strong discontinuity approach. Eng Fract Mech 69: 113–136 Article Google Scholar
Rabczuk T, Belytschko T (2004) Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Int J Numer Methods Eng 61(13): 2316–2343 Article Google Scholar
Rabczuk T, Belytschko T (2007) A three dimensional large deformation meshfree method for arbitrary evolving cracks. Comput Methods Appl Mech Eng 196(29-30): 2777–2799 Article Google Scholar
Rabczuk T, Bordas S, Zi G (2007) A three-dimensional meshfree method for continuous multiplecrack initiation, nucleation and propagation in statics and dynamics. Comput Mech 40(3): 473–495 Article Google Scholar
Rabczuk T, Song JH, Belytschko T (2009) Simulations of instability in dynamic fracture by the cracking particles method. Eng Fract Mech 76: 730–741 Article Google Scholar
Rashid MM (1998) The arbitrary local mesh replacement method: an alternative to remeshing for crack propagation analysis. Comput Methods Appl Mech Eng 154: 133–150 Article Google Scholar
Ravi-Chandar K, Knauss WG (1984) An experimental investigation into dynamic fracture—I. Crack initiation and crack arrest. Int J Fract 25: 247–262 Article Google Scholar
Ravi-Chandar K, Knauss WG (1984) An experimental investigation into dynamic fracture – II. Microstructural aspects. Int J Fract 26: 65–80 Article Google Scholar
Ravi-Chandar K, Knauss WG (1984) An experimental investigation into dynamic fracture – III. Steady state crack propagation and crack branching. Int J Fract 26: 141–154 Article Google Scholar
Ravi-Chandar K, Knauss WG (1984) An experimental investigation into dynamic fracture – IV. On the interaction of stress waves with propagating cracks. Int J Fract 26: 189–200 Article Google Scholar
Remmers JJC, Borst R, Needleman A (2008) The simulation of dynamic crack propagation using the cohesive segments method. J Mech Phys Solids 56: 70–92 Article Google Scholar
Riera JD (1984) Local effects in impact problems on concrete structures. In: Proceedings, conference on structural analysis and design of nuclear power plants, vol 3. Porto Alegre, RS, Brasil, CDU 264.04:621.311.2:621.039
Riera JD, Iturrioz I (1995) Discrete element dynamic response of elastoplastic shells subjected to impulsive loading. Commun Numer Methods Eng 11: 417–426 Article Google Scholar
Riera JD, Iturrioz I (1998) Discrete element model for evaluating impact and impulsive response of reinforced concrete plates and shells subjected to impulsive loading. Nucl Eng Des 179: 135–144 ArticleCAS Google Scholar
Riera JD, Rocha MM (1991) A note on the velocity of crack propagation in tensile fracture. Revista Brasileira de Ciencias Mecânicas 12/3: 217–240 Google Scholar
Rinaldi A, Lai YC (2007) Statistical damage theory of 2D lattices: Energetics and physical foundations of damage parameter. Int J Plast 23: 1769–1825 Article Google Scholar
Rinaldi A, Krajcinovic D, Peralta P, Lai YC (2008) Lattice models of polycrystalline microstructures: A quantitative approach. Mech Mater 40: 17–36 Article Google Scholar
Rios RD, Riera JD (2004) Size effects in the analysis of reinforced concrete structures. Eng Struct 26: 1115–1125 Article Google Scholar
Rocha MM, Riera JD, Krutzik NJ (1991) Extension of a model that aptly describes fracture of plain concrete to the impact analysis of reinforced concrete. In: International conference on structural mechanics reactor technology (SMIRT 11) Tokyo, Japan
Schnaid F, Spinelli L, Iturrioz I, Rocha M (2004) Fracture mechanics in ground improvement design. Ground Improv UK 8: 7–15 Article Google Scholar
Sigmund O (1994) Materials with prescribed constitutive parameters: An inverse homogenization problem. Int J Solids Struct 31/17: 2313–2329 Article Google Scholar
Tabiei A, Wu J (2003) Development of the DYNA3D simulation code with automated fracture procedure for brick elements. Int J Numer Methods Eng 57: 1979–2006 Article Google Scholar
Williams ML (1957) On the stress distributions at the base of a stationary crack. J Appl Mech 24: 109–114 Google Scholar