Trapping of a crack advancing through an elastic lattice

Colquitt, Daniel; Movchan, A. B.; Jones, I. S.; Movchan, N. V.

doi:10.1016/j.ijengsci.2012.06.016

Cited by 8 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From now on we use the normalised variables shown in (6) omitting the tildes for practicality. The numerical simulation is performed by running series of iterations.…”

Section: Numerical Set Upmentioning

confidence: 99%

“…Assuming that the crack tip moves by breaking of preceding springs only, i.e. without any breakage being detected ahead, we define an instantaneous crack speed (normalised by the equilibrium length a as in (6)) in the following way:…”

Section: Computation Of the Crack Speedmentioning

confidence: 99%

“…The proposed methods appeared to be extremely efficient in examining various fracture problems and capable of explaining various related phenomena [18,24,47]. In particular, apart from explaining trapping in various lattice structures [6,47], it was also instrumental in recognizing the role of the dissipation mechanism in fracture mechanics [21,43,47] in the description of a crack propagation in discrete and structural waveguides [3,4,25] and the analysis of the phase transitions and bistable structures [5,50,51,52]. The method is equally efficient for structures of distinct geometries (rectangular and triangle lattices), fracture modes, for both open cracks and bridge cracks [26,28], and both homogeneous and inhomogeneous structures [27,29,38].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic fracture of a discrete media under moving load

Gorbushin

Mishuris

2018

International Journal of Solids and Structures

View full text Add to dashboard Cite

Most of the research concerting crack propagation in discrete media is concerned with specific types of external loading: displacements on the boundaries, or constant energy fluxes or feeding waves originating from infinity. In this paper the action of a moving load is analysed on the simplest lattice model: a thin strip, where the fault propagating in its middle portion as the result of the moving force acting on the destroyed part of the structure. We study both analytically and numerically how the load amplitude and its velocity influence the possible solution, and specifically the way the fracture process reaches its steady-state regime. We present the relation between the possible steady-state crack speed and the loading parameters, as well as the energy release rate. In particular, we show that there exists a class of loading regime corresponding to each point on the energy-speed diagram (and thus determine the same limiting steady-state regime). The phenomenon of the "forbidden regimes" is discussed in detail, from both the points of view of force and energy. For a sufficiently anisotropic structure, we find a stable steady-state propagation corresponding to the "slow" crack. Numerical simulations reveal various ways by which the process approaches -or fails to approach -the steady-state regime. The results extend our understanding of fracture processes in discrete structures, and reveal some new questions that should be addressed.

show abstract

“…From now on we use the normalised variables shown in (6) omitting the tildes for practicality. The numerical simulation is performed by running series of iterations.…”

Section: Numerical Set Upmentioning

confidence: 99%

Section: Computation Of the Crack Speedmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic fracture of a discrete media under moving load

Gorbushin

Mishuris

2018

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…The influence of the micro-structure on a dynamic crack in a lattice was discussed in [18,19,20]. For a transient propagating crack, the crack edge emanates waves, which interact with the ambient medium.…”

Section: Introductionmentioning

confidence: 99%

Edge Waves and Localization in Lattices Containing Tilted Resonators

et al. 2017

View full text Add to dashboard Cite

The paper presents the study of waves in a structured geometrically chiral solid. A special attention is given to the analysis of the Bloch-Floquet waves in a doubly periodic high-contrast lattice containing tilted resonators. Dirac-like dispersion of Bloch waves in the structure is identified, studied and applied to waveguiding and wave-defect interaction problems. The work is extended to the transmission problems and models of fracture, where localisation and edge waves occur. The theoretical derivations are accompanied with numerical simulations and illustrations. * Corresponding author. Office 405,

show abstract

Thermal shock driven fracture in a structured solid: dynamic crack growth and nucleation

et al. 2016

View full text Add to dashboard Cite

In this paper we analyse the propagation of an edge crack into a thermoelastic lattice. The propagation within the micro-structured medium is driven by a periodic thermal shock acting on the boundary of the structure. A non standard numerical simulation has been developed which automatically computes the transient crack advance, embedding into the analysis thermal and inertial effects together with the non-linear evolution of the micro-structure. Velocity of propagation is considered for different critical elongation of the elastic ligaments within the lattice and the results are found to be in agreement with previous analytical predictions based on the dispersion properties of the lattice. Nucleation and coalescence are also detailed

show abstract

Trapping of a crack advancing through an elastic lattice

Cited by 8 publications

References 18 publications

Dynamic fracture of a discrete media under moving load

Dynamic fracture of a discrete media under moving load

Edge Waves and Localization in Lattices Containing Tilted Resonators

Thermal shock driven fracture in a structured solid: dynamic crack growth and nucleation

Contact Info

Product

Resources

About