TY - JOUR
T1 - The stress concentration factor for slightly roughened random surfaces
T2 - Analytical solution
AU - Medina, H.
AU - Hinderliter, B.
PY - 2014/5/15
Y1 - 2014/5/15
N2 - We derive an analytical solution to the stress concentration factor ( kt) for slightly roughened random surfaces. Topology is assumed to possess Gaussian distribution of heights and auto correlation length, ACL. For our development, we combine Gao's first-order perturbation method, the Hilbert transform, and an energy conservation principal related to the Parseval theorem.The root-mean-square (RMS) value of kt results in a function of the ratio RMS-roughness to ACL. The derived formula agrees with experimental results previously reported. The results provide insight for more efficient design.
AB - We derive an analytical solution to the stress concentration factor ( kt) for slightly roughened random surfaces. Topology is assumed to possess Gaussian distribution of heights and auto correlation length, ACL. For our development, we combine Gao's first-order perturbation method, the Hilbert transform, and an energy conservation principal related to the Parseval theorem.The root-mean-square (RMS) value of kt results in a function of the ratio RMS-roughness to ACL. The derived formula agrees with experimental results previously reported. The results provide insight for more efficient design.
KW - Analytical solution
KW - Random rough surfaces
KW - Stress concentration factor
UR - http://www.scopus.com/inward/record.url?scp=84896492729&partnerID=8YFLogxK
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U2 - 10.1016/j.ijsolstr.2014.02.011
DO - 10.1016/j.ijsolstr.2014.02.011
M3 - Article
AN - SCOPUS:84896492729
SN - 0020-7683
VL - 51
SP - 2012
EP - 2018
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 10
ER -