The Penny-Shaped Crack on an Interface

Willis, J. R.

doi:10.1093/qjmam/25.3.367

Cited by 111 publications

(58 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Both the patch stiffness k and the effective shear modulus G * depend on the elastic constants on both sides of the sliding interface. The effective patch modulus is calculated by taking derivatives of the strain energy function of Willis (1972) as described by Aki and Richards (2002) (11), we may define the stiffnesses of the ice and bed as k i ≡ τ / D i and k b ≡ τ / D b . The total stiffness is then given by 1 / k = 1 / k b + 1/k i .…”

Section: The Elastic Responsementioning

confidence: 99%

Tremor during ice-stream stick slip

Lipovsky¹,

Dunham²

2016

The Cryosphere

View full text Add to dashboard Cite

Abstract. During the 200 km-scale stick slip of the Whillans Ice Plain (WIP), West Antarctica, seismic tremor episodes occur at the ice-bed interface. We interpret these tremor episodes as swarms of small repeating earthquakes. The earthquakes are evenly spaced in time, and this even spacing gives rise to spectral peaks at integer multiples of the recurrence frequency ∼10-20 Hz. We conduct numerical simulations of the tremor episodes that include the balance of forces acting on the fault, the evolution of rate-and statedependent fault friction, and wave propagation from the fault patch to a seismometer located on the ice. The ice slides as an elastic block loaded by the push of the upstream ice, and so the simulated basal fault patch experiences a loading velocity equal to the velocity observed by GPS receivers on the surface of the WIP. By matching synthetic seismograms to observed seismograms, we infer fault patch area ∼10 m 2 , bed shear modulus ∼20 MPa, effective pressure ∼10 kPa, and frictional state evolution distance ∼1 µm. Large-scale slip events often occur twice daily, although skipped events have been increasing in frequency over the last decade. The amplitude of tremor (recorded by seismometers on the ice surface) is greater during the double wait time events that follow skipped events. The physical mechanism responsible for these elevated amplitudes may provide a window into nearfuture subglacial conditions and the processes that occur during ice-stream stagnation.

show abstract

Section: The Elastic Responsementioning

confidence: 99%

Tremor during ice-stream stick slip

Lipovsky¹,

Dunham²

2016

The Cryosphere

View full text Add to dashboard Cite

show abstract

“…Since then, Miura, Sakamoto, Kobayashi, Pramudita and Tanabe, Mechanical Engineering Journal, Vol.5, No.3 (2018) [DOI: 10.1299/mej. penny-shaped cracks at the interface between bi-material elastic regions have been studied by a number of investigators (Mossakovskii and Rybka, 1964;Kassir and Bregman, 1972;Willis, 1972;Lowengrub and Sneddon, 1974). Lowengrub (1960) and Collins (1961) extended Sneddon's method to a finite thickness layer with a penny-shaped crack.…”

Section: Introductionmentioning

confidence: 99%

An analytical solution for the axisymmetric problem of a penny-shaped crack in an elastic layer sandwiched between dissimilar materials

Miura

Sakamoto

Kobayashi

et al. 2018

Mechanical Engineering Journal

View full text Add to dashboard Cite

“…Previously, two-dimensional interfacial crack problems were analyzed by Salganik [1] and many other researchers [2]- [9]. Also, several important three-dimensional interfacial crack problems were treated by some researchers for a penny-shaped interfacial crack [10]- [15], an elliptical crack [16], and a crack in a finite body [17]; however, usually they are considered under specific material combinations. In other words, closed form solutions of stress intensity factors (SIFs) are only available for a penny shaped interfacial crack [17], and a deep external interfacial crack [18] under any combination of materials.…”

Section: Introductionmentioning

confidence: 99%

Stress Intensity Factor for a Planar Interfacial Crack in Three Dimensional Bimaterials

Noda

Takase

2009

JCST

View full text Add to dashboard Cite

In this paper, stress intensity factors for a three dimensional planar interfacial crack are considered on the idea of the body force method. The formulation leads to a system of singular integral equation, whose unknowns are three types of crack opening displacements. The unknown body force densities are approximated by the products of the fundamental density functions and power series; here, the fundamental density functions are chosen to express singular stress fields due to a two-dimensional interface crack exactly. The calculation shows that the present method gives rapidly converging numerical solutions. It is found that the stress intensity factors K I and K II are determined by bimaterials constant ε alone, independent of elastic modulus ratio and Poisson's ratio.

show abstract

The Penny-Shaped Crack on an Interface

Cited by 111 publications

References 0 publications

Tremor during ice-stream stick slip

Tremor during ice-stream stick slip

An analytical solution for the axisymmetric problem of a penny-shaped crack in an elastic layer sandwiched between dissimilar materials

Stress Intensity Factor for a Planar Interfacial Crack in Three Dimensional Bimaterials

Contact Info

Product

Resources

About