Publications related to Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

A Further Study on Wave Propagation Across a Single Joint with Different Roughness

As a key dynamic feature of the rock mass, joint results in wave attenuation when a stress wave propagates across it. An experimental study has obtained the relation between the transmission coefficient and the contact area ratio of joints with different t ...

Springer Wien2016

Analytical analysis of slow and fast pressure waves in a two-dimensional cellular solid with fluid-filled cells

Vladimir Dorodnitsyn, Bart Van Damme

Wave propagation in cellular and porous media is widely studied due to its abundance in nature and industrial applications. Biot's theory for open-cell media predicts the existence of two simultaneous pressure waves, distinguished by its velocity. A fast w ...

Acoustical Soc Amer Amer Inst Physics2016

Wave propagation in periodic buckled beams. Part II: Experiments

Alessandro Spadoni, Florian Paul Robert Maurin

Buckled periodic beams possess a geometrically nonlinear, load-deformation relation and intrinsic length scales such that stable, nonlinear waves are possible. In part I of this paper, a model has been derived that predict compressive/rarefaction, superson ...

Elsevier Science Bv2016

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Timothée Noé Pouchon, Assyr Abdulle

A family of effective equations that capture the long time dispersive effects of wave propagation in heterogeneous media in an arbitrary large periodic spatial domain

\Omega \subset \mathbb{R}^d

over long time is proposed and analyzed. For a wave equatio ...

MATHICSE2016

The Velocity of the Propagating Wave for General Coupled Scalar Systems

Nicolas Macris, Rafah El-Khatib

We consider spatially coupled systems governed by a set of scalar density evolution equations. Such equations track the behavior of message-passing algorithms used, for example, in coding, sparse sensing, or constraint-satisfaction problems. Assuming that ...

Ieee2016

Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Timothée Noé Pouchon, Assyr Abdulle

A family of effective equations that capture the long time dispersive effects of wave propagation in heterogeneous media in an arbitrary large periodic spatial domain Omega subset of R-d is proposed and analyzed. For a wave equation with highly oscillatory ...

World Scientific Publ Co Pte Ltd2016

Wave propagation in periodic buckled beams. Part I: Analytical models and numerical simulations

Alessandro Spadoni, Florian Paul Robert Maurin

Periodic buckled beams possess a geometrically nonlinear, load-deformation relationship and intrinsic length scales such that stable, nonlinear waves are possible. Modeling buckled beams as a chain of masses and nonlinear springs which account for transver ...

Elsevier Science Bv2016

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

Morphological component analysis for sparse regularization in plane wave imaging

Jean-Philippe Thiran, Yves Wiaux, Dimitris Perdios, Eric Bezzam, Rafael Eduardo Carrillo Rangel, Marcel Arditi, Adrien Georges Jean Besson

Classical ultrasound image reconstruction mainly relies on the well-known delay-and-sum (DAS) beamforming for its simplicity and real-time capability. Sparse regularization methods propose an alternative to DAS which lead to a better inversion of the ill-p ...

Ieee2016

Experimental Study on Wave Propagation Across a Rock Joint with Rough Surface

Xin Chen, Jian Zhao, Yang Zou

Joints are an important mechanical feature of rock masses. Their effect on wave propagation is significant in characterizing dynamic behaviors of discontinuous rock masses. An experimental study on wave propagation across artificial rock joint was carried ...

Springer Wien2015

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

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A Further Study on Wave Propagation Across a Single Joint with Different Roughness

Analytical analysis of slow and fast pressure waves in a two-dimensional cellular solid with fluid-filled cells

Wave propagation in periodic buckled beams. Part II: Experiments

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

The Velocity of the Propagating Wave for General Coupled Scalar Systems

Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Wave propagation in periodic buckled beams. Part I: Analytical models and numerical simulations

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Morphological component analysis for sparse regularization in plane wave imaging

Experimental Study on Wave Propagation Across a Rock Joint with Rough Surface

Analytical analysis of slow and fast pressure waves in a two-dimensional cellular solid with fluid-filled cells

The Velocity of the Propagating Wave for General Coupled Scalar Systems

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Wave propagation in periodic buckled beams. Part II: Experiments

A Further Study on Wave Propagation Across a Single Joint with Different Roughness

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Morphological component analysis for sparse regularization in plane wave imaging

Experimental Study on Wave Propagation Across a Rock Joint with Rough Surface

Wave propagation in periodic buckled beams. Part I: Analytical models and numerical simulations