Ranjith Kunnath

Mahindra University · Department of Mechanical Engineering

Love waves are dispersive interfacial waves that are a mode of response for anti-plane motions of an elastic layer bonded to an elastic half-space. Similarly, Stoneley waves are interfacial waves in bonded contact of dissimilar elastic half-spaces, when the displacements are in the plane of the solids. It is shown that in slow sliding, long wavelen...

A numerical scheme is proposed for simulating dynamic antiplane fracture at an interface between a layer and a half-plane. The scheme is a spectral boundary integral equation method which relates the shear stress and the displacement discontinuity at the interface in the spectral domain. In previous studies, numerical schemes have been developed fo...

This paper presents a 3D spectral numerical scheme that can accurately model planar cracks of any shape residing on an interfacial plane between two elastic solids. The cracks propagate dynamically under the action of interfacial loads and interfacial constitutive laws. The scheme is a spectral form of the boundary integral equations (BIE) that rel...

Interfacial waves propagate along the interface between two elastic solids, and are the subject of basic interest to diverse scientific fields, like, seismology, geophysics, material science and composite structures. The focus of the present work is to analyse the interfacial waves arising due to frictional slipping between an elastic layer and an...

The effect of fault geometry on earthquake faulting is one of the most fundamental concerns in seismology. The present work formulates the influence of geometry on fault slip and stress in nonplanar faults. The slip over model space is expressed in representation integral containing displacement and the Green function of elasticity. Here, a weak-fo...

This paper presents a 3D spectral numerical scheme that can accurately model planar cracks of any shape residing on an interfacial plane between two elastic solids. The cracks propagate dynamically under the action of interfacial loads and interfacial constitutive laws. The scheme is a spectral form of the boundary integral equations (BIE) that rel...

Instabilities in dynamic antiplane frictional sliding on a planar interface between two elastic layers with dissimilar elastic properties are studied. At the interface, a rate-and state-dependent friction law with a positive instantaneous dependency on slip velocity and velocity weakening behaviour in the steady state is assumed to be in effect. Th...

A spectral formulation of the boundary integral equation method for antiplane problems is presented. The boundary integral equation method relates the slip and the shear stress at an interface between two half-planes. It involves evaluating a space-time convolution of the shear stress or the slip at the interface. In the spectral formulation, the c...

A spectral formulation of the boundary integral equation method for antiplane problems is presented. The boundary integral equation method relates the slip and the shear stress at an interface between two half-planes. It involves evaluating a space-time convolution of the shear stress or the slip at the interface. In the spectral formulation, the c...

Conventional models of the structure of the Earth, such as the Preliminary Reference Earth Model (PREM), assume a bonded interface between the crust and the upper mantle. The bonded contact model is consistent with the observation of Love waves during an earthquake. However, anomalies in the Love wave dispersion have been reported in the literature...

Conventional models of the structure of the earth, such as the Preliminary Reference Earth Model (PREM), assume a bonded interface between the crust and the upper mantle. The bonded contact model is consistent with the observation of Love waves during an earthquake. However, anomalies in the Love wave dispersion have been reported in the literature...

Interfacial wave solutions for a planar interface between two finite layers have been obtained within the framework of antiplane elasticity. Solutions are found to exist both for slipping contact and for bonded contact at the interface. Both the slip and bonded contact waves are found to be dispersive and multivalued. One family of slip and bonded...

It is shown that a slip wave solution exists for anti-plane sliding of an elastic layer on an elastic half-space. It is a companion solution to the well-known Love wave solution.

A spectral formulation of the boundary integral equation method applied to an interface between dissimilar elastic solids is presented. The boundary integral equations can be written in two equivalent forms: (a) The tractions can be written as a space-time convolution of the displacement continuities at the interface (Budiansky and Rice [1]) (b) Th...

The stability of dynamic anti-plane sliding at an interface between an elastic layer and an elastic half-space with dissimilar elastic properties is studied. Friction at the interface is assumed to follow a rate- and state-dependent law, with a positive instantaneous dependence on slip velocity and a rate weakening behavior in the steady state. The...

The stability of steady, dynamic, anti-plane slipping at a planar interface between two dissimilar anisotropic linear elastic solids is studied. The solids are assumed to possess a plane of symmetry normal to the slip direction, so that in-plane displacements and normal stress changes on the slip plane do not occur. Friction at the interface is ass...

The stability of steady, quasi-static slip at a planar interface between an anisotropic elastic solid and an isotropic elastic solid is studied. The paper begins with an analysis of anti-plane sliding at an orthotropic/isotropic interface. Friction at the interface is assumed to follow a rate- and state-dependent law. The stability to spatial pertu...

We study the stability of steady sliding between elastically deformable continua using rate and state dependent friction laws. That is done for both elastically identical and elastically dissimilar solids. The focus is on linearized response to perturbations of steady-state sliding, and on studying how the positive direct effect (instantaneous incr...

The mathematical well-posedness of the problem of dynamic stability to perturbations from a state of steady frictional sliding along a planar interface between solids with dissimilar elastic properties is studied. It has been recently discovered that this problem is often ill-posed when a Coulomb friction law is taken to act on the interface, i.e....

It has been shown recently that steady frictional sliding along an interface between dissimilar elastic solids with Coulomb friction acting at the interface is ill-posed for a wide range of material parameters and friction coecients. The ill-posedness is manifest in the unstable growth of interfacial disturbances of all wavelengths, with growth rat...

The stability of quasi-static frictional slip of a single degree of freedom elastic system is studied for a Dieterich-Ruina rate and state dependent friction law, showing steady-slate velocity weakening, and following the ageing (or slowness) version of the stale evolution law. Previous studies have been done for the slip version. Analytically dete...

In this work, the asymptotic fields near a crack tip propagating dynamically under plane strain conditions at a ductile-brittle interface are derived. The ductile material is taken to obey the J2 flow theory of plasticity with linear isotropic strain hardening. The asymptotic solution is assumed to be of the variable-separable form with a power sin...

In this work, dynamic crack growth along a ductile-brittle interface under anti-plane strain conditions is studied. The ductile solid is taken to obey the J 2 flow theory of plasticity with linear isotropic strain hardening, while the substrate is assumed to exhibit linear elastic behavior. Firstly, the asymptotic near-tip stress and velocity field...