The Stepped Analysis of the Effect of the Saturation Coefficienton Dynamic Pore Responses

Белов, А. С.; Игумнов, Л. А.; Petrov, Andrey N.

doi:10.32326/1814-9146-2017-79-4-425-436

Cited by 3 publications

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“…Fig. 2 depicts numerical oscillation arising for the following parameters of the scheme: 500  N , 01 , 0  t and using uniform grids over intervals [17]. Fig.…”

Section: The Stepped Scheme Of Numerical Inversion Of Laplace Transformmentioning

confidence: 99%

Modified stepped scheme for modelling the dynamic behaviour of 3D poroviscoelastic solids

2018

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Abstract. The problem of the dynamic response of a soil medium under different kinds of loads is of significant importance in various areas of engineering, especially in connection with structures. The present paper is dedicated to the modification of the numerical approach for modelling the dynamic behaviour of three dimensional poroviscoelastic solids. The basic equations for fluid-saturated porous media proposed by Biot are modified by replacing the classical linear elastic model of the solid skeleton with the viscoelastic model. Classical models of viscoelasticity are employed, such as Kelvin-Voight model, standard linear solid model and model with weakly singular kernel. Boundary integral equations method is applied to solving three-dimensional boundary-value problems. Stepped schemes modifications based on the linear and quadratic approximation of function are employed. A numerical example of poroviscoelastic rod under Heaviside type load is provided. A problem of a poroviscoelastic cube with a cavity subjected to a normal internal pressure is considered. The comparison of dynamic responses when poroviscoelastic material is described by different viscoelastic models is presented.

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“…Fig. 2 depicts numerical oscillation arising for the following parameters of the scheme: 500  N , 01 , 0  t and using uniform grids over intervals [17]. Fig.…”

Section: The Stepped Scheme Of Numerical Inversion Of Laplace Transformmentioning

confidence: 99%

Modified stepped scheme for modelling the dynamic behaviour of 3D poroviscoelastic solids

2018

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Study of wave propagation in poroviscoelastic halfspace under normal harmonic load via BEM

Ipatov

Litvinchuk

2018

EPJ Web Conf.

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The present research is dedicated to a problem of a soil dynamics in case when media is subjected to a normal harmonic load. Such type of load may be observed for example because of working wind generator, and the aim is to create a model of possible impact. One of the most appropriate ways for soil modelling is the Biot model of poroelastic media and its enhancements. In this paper we treat a soil as a poroviscoelastic media. Our poroviscoelastic formulation is based on Biot theory of poroelasticity and correspondence principle applied to skeleton of porous material. Standard linear solid model is employed to describe viscoelastic media properties. Boundary integral equations method is applied to solving threedimensional boundary-value problems. The solution of the original problem is constructed in Laplace transforms, with the subsequent application of the algorithm for numerical inversion. To introduce BEdiscretization, we consider the regularized boundary-integral equation. Mixed boundary element discretization is introduced to obtain discrete analogues. Modified Durbin’s algorithm of numerical inversion of Laplace transform is used. Research is also dedicated to development of numerical modeling technique based on Boundary Element Method (BEM) in Laplace domain of solution three dimensional poroviscodynamic problems. Numerical example of a poroviscoelastic halfspace under harmonic load is considered. Viscoelastic model parameter influence on dynamic responses of boundary functions is studied. The comparison of transient responses is presented.

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Numerically-analytically studying fundamental solutions of 3-D dynamics of partially saturated poroelastic bodies

Игумнов¹,

Petrov²,

Белов³

et al. 2019

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The Stepped Analysis of the Effect of the Saturation Coefficienton Dynamic Pore Responses

Cited by 3 publications

References 1 publication

Modified stepped scheme for modelling the dynamic behaviour of 3D poroviscoelastic solids

Modified stepped scheme for modelling the dynamic behaviour of 3D poroviscoelastic solids

Study of wave propagation in poroviscoelastic halfspace under normal harmonic load via BEM

Numerically-analytically studying fundamental solutions of 3-D dynamics of partially saturated poroelastic bodies

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