Frictional sliding modes along an interface between identical elastic plates subject to shear impact loading

Çöker, Demirkan; Lykotrafitis, George; Needleman, A.; Rosakis, Ares J.

doi:10.1016/j.jmps.2004.11.003

Cited by 59 publications

(64 citation statements)

References 70 publications

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“…Studies of rupture along homogeneous interfaces (Andrews, 1976;Harris and Day, 1993;Coker et al, 2005;Liu and Lapusta, 2008;Lu et al, 2009) are not affected by the stress-distortions described in this paper, as long as they do not employ horizontally confined boundaries (which practically introduce a material interface at the edge of the model). Likewise simulations with bimaterials are not affected, if the fault separates two semi-infinite half-spaces as in Cochard and Rice (2000).…”

Section: The Source Of the Stress Heterogeneitiesmentioning

confidence: 99%

“…We study numerical solutions of the 2D wave equation where the penalty method is used to enforce the contact boundary conditions (Perić and Owen, 1992;Laursen and Simo, 1993;Wriggers, 2006). The penalty method was also employed by Coker et al (2005); Povirk and Needleman (1993) and Shi et al (2008) in their implementation of elastoplasticity along homogeneous interfaces and in Olsen-Kettle et al (2008); Langer et al (2010) and Langer et al (2012) along bimaterial interfaces. For the confined and horizontally unconfined configurations our simulations allow slip at the central 150 mm of the fault.…”

Section: Dynamic Rupturementioning

confidence: 99%

“…The dissimilar stiffness matrices of the two materials involved lead to a bending effect towards the edges of the model. Laboratory setups with impact loading (Coker et al, 2005;Lambros and Rosakis, 1994;Rosakis et al, 1998) and other experiments without preloading prior to nucleation are not affected by this distortion.…”

Section: The Source Of the Stress Heterogeneitiesmentioning

confidence: 99%

See 2 more Smart Citations

Stress heterogeneities in earthquake rupture experiments with material contrasts

Langer¹,

Weatherley²,

Olsen-Kettle³

et al. 2013

Journal of the Mechanics and Physics of Solids

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We investigate significant heterogeneous stresses along bimaterial interfaces in laboratory and numerical experiments. These stresses, partially induced by model or experimental configuration, affect the supershear transition length and rupture speed, mode and directivity in uniaxial compression tests and dynamic rupture experiments with bimaterial interfaces. Using numerical simulations we show that normal and tangential stresses at the fault are distorted by the different stress-strain relationships of the materials. This distortion leads to altered supershear transition lengths, higher rupture potencies and amplifies the preference for rupture in the direction of slip of the slower and more compliant material. We demonstrate how this stress-distortion can be decreased in laboratory experiments by using larger specimen samples and in numerical models by using periodic boundary conditions.

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Section: The Source Of the Stress Heterogeneitiesmentioning

confidence: 99%

Section: Dynamic Rupturementioning

confidence: 99%

Section: The Source Of the Stress Heterogeneitiesmentioning

confidence: 99%

See 1 more Smart Citation

Stress heterogeneities in earthquake rupture experiments with material contrasts

Langer¹,

Weatherley²,

Olsen-Kettle³

et al. 2013

Journal of the Mechanics and Physics of Solids

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“…A frictional constitutive relation is prescribed along the centerline and the material is taken to be linear elastic. The friction constitutive law used is a modified version of the Prakash-Clifton rate-and statedependent law (Coker, et al 2004) characterized by the relation,…”

Section: Formulation and Numericsmentioning

confidence: 99%

Crack-like and Pulse-like Dynamic Frictional Sliding

Rosakis¹,

Needleman²,

Lykotrafitis³

et al. 2007

Earthquakes and Acoustic Emission

Self Cite

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Numerical and experimental investigation of frictional sliding under dynamic loading conditions is discussed. The configuration analyzed consists of two plates of Homalite (an elastic birefringent polymer material) connected along a planar interface. The plates are characterized as isotropic elastic materials and the interface is characterized by a rate-and state-dependent frictional law that also accounts for dependence on normal stress variations. The calculations are carried out within a framework where two constitutive relations are used: a volumetric constitutive relation between stress and strain and a surface constitutive relation that characterizes the frictional behavior of an interface. The propagation speeds of the sliding tip are found to be of the order of the longitudinal wave speed. Frictional sliding is found to occur in modes that involve uniform sliding behind the rupture front, an isolated slip pulse, multiple slip pulses or a combination of these modes. The dependence of the sliding mode on the initial compressive stress, the impact velocity and the friction parameters is described. Numerical results compare favorably with experimental observations in terms of intersonic sliding tip speed, crack-like and pulse-like sliding modes and the stress fields at the sliding tip. INTRODUCTIONFrictional sliding along an interface between two deformable solids is a basic problem of mechanics that arise in a variety of contexts including, for example, material processing, deformation and failure of fiber reinforced composites and earthquake dynamics. The classical Coulomb type of frictional relation relates the shear stress to the normal stress by a proportionaliy constant µ which can have a dependence on the relative sliding velocity. However, Adams (1995) and Ranjith and Rice (2001) showed that the problem of frictional sliding along an interface between two elastic solids, with sliding governed by Coulomb friction, is unstable to perturbations and hence ill-posed for a significant range of values of µ. Rate-and state-dependent models of friction have been introduced (Dieterich, 1979;Rice and Ruina, 1983;Ruina, 1983) that phenomenologically characterize the surface evolution and provide a representation of the transition from static to dynamic friction at constant normal load. For varying normal stress, Prakash and Clifton (1993) added an additional state variable to account for their observation of a delay in the change in shear traction following a sudden change in the normal traction. The use of these friction laws regularizes the sliding friction problem of elastic bodies with changing normal stress and make it a well-posed problem. We report on the implementation of a rate-state friction model in a finite-element code to simulate the frictional sliding behavior of two elastic solids under dynamic loading conditions. The computational results of dynamic sliding are compared with experimental observations.

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“…In [13], frictional sliding along an interface between two identical isotropic elastic plates under impact shear loading was investigated experimentally and numerically. The plates are held together by a compressive stress and one plate is subject to edge impact near the interface.…”

Section: Research Accomplishmentsmentioning

confidence: 99%

The Mechanics of Failure at Connections: Size Effects and Scaling

Needleman¹

2005

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing, data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)Brown University Division of Engineering Box D, Providence, RI 02912 SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)Office of Naval Research 495 Summer Street, Room 627 Boston, MA 02210-2109 PERFORMING ORGANIZATION REPORT NUMBERn/a SPONSOR/MONITOR'S ACRONYM(S) ONR SPONSOR/MONITOR'S REPORT NUMBER(S)n/a DISTRIBUTION/AVAILABILITY STATEMENTApproved for Public Release; distribution is Unlimited SUPPLEMENTARY NOTES ABSTRACTThe integrity of engineering structures is often limited by the fracture resistance at connections. This is particularly the case when materials having large differences in mechanical properties are joined. Research directed at the direct calculation of fracture at interfaces and connections under dynamic loading conditions was carried out. The accomplishments under this grant include: 1.showing that the ductile-brittle transition temperature for welds as measured in the Charpy impact test is a structural not a material property; 2. predicting intersonic crack growth along an interface in excellent agreement with experiment; 3. developing a partition of unity based methodology applicable when crack growth is discontinuous; 4. finding a 3-dimensional effect that leads to brittle cleavage failure under impact loading earlier than predicted by a two dimensional plane strain analysis; and 5. analyses and experiments that reveal the rich phenomenology that occurs under dynamic factional sliding including a variety of pulse-like modes and the supersonic propagation of trailing pulses with much of the predicted phenomenology also seen in experiments. SUBJECT TERMS

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Frictional sliding modes along an interface between identical elastic plates subject to shear impact loading

Cited by 59 publications

References 70 publications

Stress heterogeneities in earthquake rupture experiments with material contrasts

Stress heterogeneities in earthquake rupture experiments with material contrasts

Crack-like and Pulse-like Dynamic Frictional Sliding

The Mechanics of Failure at Connections: Size Effects and Scaling

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