Instability dynamics in three-dimensional fracture: An atomistic simulation

Abraham, Farid F.; Schneider, David J.; Land, Bruce R.; Lifka, David; Skovira, Joseph; Gerner, Jennifer L.; Rosenkrantz, Marcy E.

doi:10.1016/s0022-5096(97)00017-3

Cited by 61 publications

(24 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In contrast, the crack behavior in the anharmonic crystal is controlled by the local wave speeds, which play an important role in the dynamic behavior of crack propagation. A similar dependence has been identified in a related phenomenon where hyperelasticity plays an important role in whether a solid will undergo brittle fracture or ductile failure at the crack tip (18,19). The local wave speed represents the nonlinear, hyperelastic, material properties near cohesive failure of atomic bonds while the conventional elastic (shear and longitudinal) wave speeds represent the material properties under infinitesimal deformation and can differ significantly from the harmonic wave speeds.…”

mentioning

confidence: 55%

Simulating materials failure by using up to one billion atoms and the world's fastest computer: Brittle fracture

Abraham

Walkup

Gao

et al. 2002

Proc. Natl. Acad. Sci. U.S.A.

Self Cite

128

View full text Add to dashboard Cite

We describe the first of two large-scale atomic simulation projects on materials failure performed on the 12-teraflop ASCI (Accelerated Strategic Computing Initiative) White computer at Lawrence Livermore National Laboratory. This is a multimillion-atom simulation study of crack propagation in rapid brittle fracture where the cracks travel faster than the speed of sound. Our finding centers on a bilayer solid that behaves under large strain like an interface crack between a soft (linear) material and a stiff (nonlinear) material. We verify that the crack behavior is dominated by the local (nonlinear) wave speeds, which can be in excess of the conventional sound speeds of a solid.

show abstract

mentioning

confidence: 55%

Simulating materials failure by using up to one billion atoms and the world's fastest computer: Brittle fracture

Abraham

Walkup

Gao

et al. 2002

Proc. Natl. Acad. Sci. U.S.A.

Self Cite

128

View full text Add to dashboard Cite

show abstract

“…In the case yϭ͓111͔ the crack was seen to grow in the directions Ϯ(2y ជ Ϫx ជ )ϭϮ͓330͔ giving even further evidence of this preferred orientation. Originally, the preference for these crystal orientations was found by Abraham et al 46 and they explained this to happen, since a crack seems to favor the maximum surface energy path.…”

Section: Crack Propagation In Thin Systemsmentioning

confidence: 92%

Molecular-dynamics study of copper with defects under strain

Heino¹,

Häkkinen

Kaski³

1998

Phys. Rev. B

View full text Add to dashboard Cite

Mechanical properties of copper with various types of defects have been studied with the moleculardynamics method and the effective-medium theory potential both at room temperature and near zero temperature. The loading has been introduced as constant rate straining and the dynamics of the process region of fracture is purely Newtonian. With the model three types of defects were studied: point defects, grain boundary, and an initial void serving as a crack seed. Point defects were seen to decrease the system strength in terms of fracture stress, fracture strain, and elastic modulus. Due to random microstructure, highly disordered systems turned out to be isotropic, which on the other hand seems to increase the elastic modulus. In the case of a grain boundary, the elastic modulus was found to be significantly less than the bulk value of the system. In addition, the critical strain for crack initiation seems to be less at the grain boundary than in the bulk. In the case of an initial void, we studied stress concentration, dislocation propagation, and crack propagation in thin systems. The stress concentration was found to be in surprisingly good agreement with continuum predictions. Dislocation and crack were propagated with a velocity much below the speed of sound and they preferred the ͗110͘ crystal orientation.

show abstract

“…The largest MD simulations of dynamic fracture that we are aware of were carried out by Abraham et al (1997b) who studied the response of a 3D notched solid under tension using more than 10 8 atoms. In their simulations, the interatomic interactions were modeled by the LJ potential, a parallel computational strategy based on a spatial-decomposition algorithm described in Section 9.6.2.3 was utilized, and the simulations were carried out at an initial temperature of zero.…”

Section: Large Size and Scalable Molecular Dynamics Simulation Of Framentioning

confidence: 99%

Heterogeneous Materials

2003

Interdisciplinary Applied Mathematics

View full text Add to dashboard Cite

Mechanics and Materials R.V. KohnSystems and Control S.S. Sastry, P.S. Krishnaprasad Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics.The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other. This is done, firstly, by encouraging the ways that mathematics may be applied in traditional areas, and well as point towards new and innovative areas of applications; and, secondly, by encouraging other scientific disciplines to engage in a dialog with mathematicians outlining their problems to both access new methods and suggest innovative developments within mathematics itself.The series will consist of monographs and high-level texts from researchers working on the interplay between mathematics and other fields of science and technology.

show abstract

Instability dynamics in three-dimensional fracture: An atomistic simulation

Cited by 61 publications

References 8 publications

Simulating materials failure by using up to one billion atoms and the world's fastest computer: Brittle fracture

Simulating materials failure by using up to one billion atoms and the world's fastest computer: Brittle fracture

Molecular-dynamics study of copper with defects under strain

Heterogeneous Materials

Contact Info

Product

Resources

About