Geodesic
Asymptotics of the bending of a thin connector under small loads
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 83-87

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We study the behaviour of a thin ligament considering geometric nonlinearity. We show that the stress concentration factor depends on the tensil load $N$. When the load is small enough $(N\sim\delta^\alpha,\alpha>2)$ the value of the stress concentration factor in the first approximation is the same as in the linear case. 
@article{VMUMM_1983_2_a18,
     author = {T. Ya. Ershova},
     title = {Asymptotics of the bending of a thin connector under small loads},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {83--87},
     publisher = {mathdoc},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a18/}
}
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T. Ya. Ershova. Asymptotics of the bending of a thin connector under small loads. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 83-87. http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a18/