TY - JOUR

T1 - Acoustic properties of a layered porous elastic structure saturated with a Maxwell fluid

AU - Starovoitova, B. N.

AU - Starovoitov, V. N.

N1 - Funding Information: by Russian Foundation for Basic Research (Grants 15-01-

PY - 2017/10/22

Y1 - 2017/10/22

N2 - We consider a one-dimensional layered structure that consists of an elastic material and a Maxwell fluid. It is assumed that the width of the layers is small compared with the size of the domain, where the problem is being solved. By employing the Nguetseng two-scale convergence technique, we have homogenized the equations that describe the mechanical system. For the homogenized equation, the limit cases of the Maxwell fluid with the small viscosity and with the small relaxation time are considered. The question of existence of the travelling wave solution for the homogenized equation is investigated.

AB - We consider a one-dimensional layered structure that consists of an elastic material and a Maxwell fluid. It is assumed that the width of the layers is small compared with the size of the domain, where the problem is being solved. By employing the Nguetseng two-scale convergence technique, we have homogenized the equations that describe the mechanical system. For the homogenized equation, the limit cases of the Maxwell fluid with the small viscosity and with the small relaxation time are considered. The question of existence of the travelling wave solution for the homogenized equation is investigated.

KW - HOMOGENIZATION

KW - CONVERGENCE

UR - http://www.scopus.com/inward/record.url?scp=85033226575&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/894/1/012089

DO - 10.1088/1742-6596/894/1/012089

M3 - Article

AN - SCOPUS:85033226575

VL - 894

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012089

ER -