Research output: Contribution to journal › Article › peer-review
An outer layer method for solving boundary value problems of elasticity theory. / Mashukov, V. I.
In: Numerical Analysis and Applications, Vol. 10, No. 3, 01.07.2017, p. 237-243.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 9913146