Irregular lattice model for quasistatic crack propagation

By John E. Bolander, Natarajan Sukumar. 2005

196 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/70136e9f4c27efd3ee02a88ce00a1a4f2db6b6ac

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Meso-scale approach to modelling the fracture process zone of concrete subjected to uniaxial tension (2009, methodology): “With a specially designed constitutive model, the results obtained with this approach were shown to be mesh-independent [6].”
Discrete element method simulations of fracture in concrete under uniaxial compression based on its real internal structure (2018, background): “…2008; Kim and Abu Al-Rub, 2011; Shahbeyk et al., 2011; Skarz_yński et al., 2015; Skarz_yński and Tejchman, 2010, 2016) and discrete models (e.g. Bolander and Sukumar, 2005; Carol et al., 2001; Chen and Konietzky, 2014; Cusatis et al., 2006; Dupray et al., 2009; Groh et al., 2011; Hentz et…”
Meso-scale modelling of the size effect on the fracture process zone of concrete (2011, methodology): “obtained with this approach were shown to be independent of the size of the elements (Bolander and Sukumar, 2005).”
Numerical integration over arbitrary polygonal domains based on Schwarz–Christoffel conformal mapping (2009, unknown): “n-gon elements‡ can also be used as transition elements and simplify meshing or to describe the microstructure of polycrystalline alloys [36] in a rather straightforward manner.”
Influence of aggregate size and volume fraction on shrinkage induced micro-cracking of concrete and mortar (2008, background): “In recent years, one type of discrete lattice approach based on the Voronoi tessellation has been shown to be very suitable for fracture simulations [5, 6].”
A lattice approach to model flow in cracked concrete (2008, background): “A special type of lattice model for the mechanical response and mass transport was proposed recently, which has been shown to result in mesh-independent and accurate description of the continuum response [5, 6, 4].”
Lattice Element Models and Their Peculiarities (2017, background): “Failure of homogeneous solids with reinforced fiber inclusions can be found in [24, 26].”
Cohesive fracture model for functionally graded fiber reinforced concrete (2010, methodology): “Based on the traction–separation relationship, crack propagation phenomena in FRC materials have been investigated by employing several analytical or numerical methods such as a semi-analytical model [31], a stress intensity factor (LEFM) approach [30], a series of nonlinear springs [26], and an irr”