List of Journal Publications
2021
2.
Ponson, L., Shabir, Z., Abdulmajid, M., Giessen, E. Van Der, Simone, A.
Unified scenario for the morphology of crack paths in two-dimensional disordered solids Journal Article
In: PHYSICAL REVIEW. E, vol. 104, no. 5, 2021.
Abstract | BibTeX | Tags: cracks, generalized finite element method, Hurst exponent, roughness | Links:
@article{Ponson2021,
title = {Unified scenario for the morphology of crack paths in two-dimensional disordered solids},
author = {L. Ponson and Z. Shabir and M. Abdulmajid and E. Van Der Giessen and A. Simone},
doi = {10.1103/PhysRevE.104.055003},
year = {2021},
date = {2021-01-01},
journal = {PHYSICAL REVIEW. E},
volume = {104},
number = {5},
publisher = {American Physical Society},
abstract = {A combined experimental and numerical investigation of the roughness of intergranular cracks in two-dimensional disordered solids is presented. We focus on brittle materials for which the characteristic length scale of damage is much smaller than the grain size. Surprisingly, brittle cracks do not follow a persistent path with a roughness exponent ζ≈0.6-0.7 as reported for a large range of materials. Instead, we show that they exhibit monoaffine scaling properties characterized by a roughness exponent ζ=0.50±0.05, which we explain theoretically from linear elastic fracture mechanics. Our findings support the description of the roughening process in two-dimensional brittle disordered solids by a random walk. Furthermore, they shed light on the failure mechanism at the origin of the persistent behavior with ζ≈0.6-0.7 observed for fractures in other materials, suggesting a unified scenario for the geometry of crack paths in two-dimensional disordered solids.},
keywords = {cracks, generalized finite element method, Hurst exponent, roughness},
pubstate = {published},
tppubtype = {article}
}
A combined experimental and numerical investigation of the roughness of intergranular cracks in two-dimensional disordered solids is presented. We focus on brittle materials for which the characteristic length scale of damage is much smaller than the grain size. Surprisingly, brittle cracks do not follow a persistent path with a roughness exponent ζ≈0.6-0.7 as reported for a large range of materials. Instead, we show that they exhibit monoaffine scaling properties characterized by a roughness exponent ζ=0.50±0.05, which we explain theoretically from linear elastic fracture mechanics. Our findings support the description of the roughening process in two-dimensional brittle disordered solids by a random walk. Furthermore, they shed light on the failure mechanism at the origin of the persistent behavior with ζ≈0.6-0.7 observed for fractures in other materials, suggesting a unified scenario for the geometry of crack paths in two-dimensional disordered solids.
2011
1.
Shabir, Z., der Giessen, E. Van, Duarte, C. A., Simone, A.
The role of cohesive properties on intergranular crack propagation in brittle polycrystals Journal Article
In: MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, vol. 19, no. 3, 2011.
Abstract | BibTeX | Tags: brittle failure, cracks, GFEM, polycrystals | Links:
@article{Shabir2011,
title = {The role of cohesive properties on intergranular crack propagation in brittle polycrystals},
author = {Z. Shabir and E. Van der Giessen and C. A. Duarte and A. Simone},
doi = {10.1088/0965-0393/19/3/035006},
year = {2011},
date = {2011-01-01},
journal = {MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING},
volume = {19},
number = {3},
abstract = {We analyze intergranular brittle cracking of polycrystalline aggregates by means of a generalized finite element method for polycrystals with cohesive grain boundaries and linear elastic grains. Many random realizations of a polycrystalline topology are considered and it is shown that the resulting crack paths are insensitive to key cohesive law parameters such as maximum cohesive strength and critical fracture energy. Normal and tangential contributions to the dissipated energy are thoroughly investigated with respect to mesh refinement, cohesive law parameters and randomness of the underlying polycrystalline microstructure.},
keywords = {brittle failure, cracks, GFEM, polycrystals},
pubstate = {published},
tppubtype = {article}
}
We analyze intergranular brittle cracking of polycrystalline aggregates by means of a generalized finite element method for polycrystals with cohesive grain boundaries and linear elastic grains. Many random realizations of a polycrystalline topology are considered and it is shown that the resulting crack paths are insensitive to key cohesive law parameters such as maximum cohesive strength and critical fracture energy. Normal and tangential contributions to the dissipated energy are thoroughly investigated with respect to mesh refinement, cohesive law parameters and randomness of the underlying polycrystalline microstructure.
