TY - JOUR

T1 - An outer layer method for solving boundary value problems of elasticity theory

AU - Mashukov, V. I.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - In this paper, an algorithm for solving boundary value problems of elasticity theory suitable for solving contact problems and those whose deformation domain contains thin layers is presented. The solution is represented as a linear combination of auxiliary and fundamental solutions to the Lame equations. The singular points of the fundamental solutions are located in an outer layer of the deformation domain near the boundary. The linear combination coefficients are determined by minimizing deviations of the linear combination from the boundary conditions. To minimize the deviations, a conjugate gradient method is used. Examples of calculations for mixed boundary conditions are presented.

AB - In this paper, an algorithm for solving boundary value problems of elasticity theory suitable for solving contact problems and those whose deformation domain contains thin layers is presented. The solution is represented as a linear combination of auxiliary and fundamental solutions to the Lame equations. The singular points of the fundamental solutions are located in an outer layer of the deformation domain near the boundary. The linear combination coefficients are determined by minimizing deviations of the linear combination from the boundary conditions. To minimize the deviations, a conjugate gradient method is used. Examples of calculations for mixed boundary conditions are presented.

KW - boundary integral equations

KW - conjugate gradient method

KW - elasticity theory

KW - outer layer

KW - two-dimensional problems

UR - http://www.scopus.com/inward/record.url?scp=85029164438&partnerID=8YFLogxK

U2 - 10.1134/S1995423917030053

DO - 10.1134/S1995423917030053

M3 - Article

AN - SCOPUS:85029164438

VL - 10

SP - 237

EP - 243

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 3

ER -