TY - JOUR
T1 - The plane mixed problem for an elastic semi-strip under different load types at its short edge
AU - Menshykov, Oleksandr
AU - Reut, Olena
AU - Reut, Viktor
AU - Vaysfeld, Natalya
AU - Zhuravlova, Zinaida
PY - 2018/8
Y1 - 2018/8
N2 - The mixed problem for the fixed semi-strip is investigated in this article for the three cases of the applied mechanical load. The solution of the boundary problem is reduced to the solution of the singular integral equation (SIE) with regard to the unknown displacements derivative. Three cases of SIE are investigated: when the mechanical load is applied on the center of the semi-strips edge, when the mechanical load is distributed near the left lateral side and when the mechanical load is distributed on the whole semi-strip's edge. In the first case SIE is solved by the using of the orthogonal polynomials method. In the second and third cases the corresponding transcendental equations to SIE are constructed, and the SIE are solved with the help of the generalized method. The stress state of the semi-strip is investigated for the three cases.
AB - The mixed problem for the fixed semi-strip is investigated in this article for the three cases of the applied mechanical load. The solution of the boundary problem is reduced to the solution of the singular integral equation (SIE) with regard to the unknown displacements derivative. Three cases of SIE are investigated: when the mechanical load is applied on the center of the semi-strips edge, when the mechanical load is distributed near the left lateral side and when the mechanical load is distributed on the whole semi-strip's edge. In the first case SIE is solved by the using of the orthogonal polynomials method. In the second and third cases the corresponding transcendental equations to SIE are constructed, and the SIE are solved with the help of the generalized method. The stress state of the semi-strip is investigated for the three cases.
KW - Fixed singularity
KW - Generalized method
KW - Orthogonal polynomials method
KW - Semi-strip
KW - Singular integral equation
UR - http://www.scopus.com/inward/record.url?scp=85048742428&partnerID=8YFLogxK
U2 - 10.1016/j.ijmecsci.2018.05.049
DO - 10.1016/j.ijmecsci.2018.05.049
M3 - Article
AN - SCOPUS:85048742428
SN - 0020-7403
VL - 144
SP - 526
EP - 530
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
ER -