TY - JOUR

T1 - On the mechanical interplay between Timoshenko and semirigid inclusions embedded in elastic bodies

AU - Khludnev, A. M.

AU - Popova, T. S.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - In the paper, an equilibrium problem for elastic bodies with a thin elastic Timoshenko inclusion and a thin semirigid inclusion is analyzed. The inclusions are assumed to be delaminated from elastic bodies, thus forming a crack between the inclusions and the elastic matrix. Nonlinear boundary conditions are imposed at the crack faces to prevent a mutual penetration between the crack faces. The inclusions have a joint point. A passage to a limit is investigated as a rigidity parameter of the elastic inclusion goes to infinity. The limit model is investigated. Junction boundary conditions are found at the joint point for the problem analyzed as well as for the limit problem.

AB - In the paper, an equilibrium problem for elastic bodies with a thin elastic Timoshenko inclusion and a thin semirigid inclusion is analyzed. The inclusions are assumed to be delaminated from elastic bodies, thus forming a crack between the inclusions and the elastic matrix. Nonlinear boundary conditions are imposed at the crack faces to prevent a mutual penetration between the crack faces. The inclusions have a joint point. A passage to a limit is investigated as a rigidity parameter of the elastic inclusion goes to infinity. The limit model is investigated. Junction boundary conditions are found at the joint point for the problem analyzed as well as for the limit problem.

KW - crack

KW - elastic body

KW - junction conditions

KW - nonlinear boundary conditions

KW - semirigid inclusion

KW - Timoshenko inclusion

KW - blunt nano crack

KW - time-harmonic plane wave

KW - SURFACE/INTERFACE

KW - CIRCULAR NANO-INHOMOGENEITIES

KW - ELECTROELASTIC WAVES

KW - NANOINHOMOGENEITIES

KW - ELASTIC MATRIX

KW - SURFACE STRESS

KW - BIEM

KW - BOUNDARY-ELEMENT ANALYSIS

KW - SCF

KW - SOLIDS

KW - Piezoelectricity

KW - 3-DIMENSIONAL NANOSCALE INHOMOGENEITIES

KW - ANTIPLANE SHEAR-WAVES

UR - http://www.scopus.com/inward/record.url?scp=85032815476&partnerID=8YFLogxK

U2 - 10.1002/zamm.201700068

DO - 10.1002/zamm.201700068

M3 - Article

AN - SCOPUS:85032815476

VL - 97

SP - 1406

EP - 1417

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 11

ER -