Struve function – Knowledge and References

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Integral and Integro-Differential Equations

Published in K.T. Chau, Theory of Differential Equations in Engineering and Mechanics, 2017

where Hv is the Struve function, which is a particular solution of a nonhomogeneous Bessel equation. It is useful for solving problems with singular behavior at the axis of symmetry. This is closely related to Hankel transform.H-transform

Surface effect in nanoscale adhesive contact

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Journal Information

Published in The Journal of Adhesion, 2021

Ning Jia, Yin Yao, Zhilong Peng, Shaohua Chen

Here, , and are the bulk surface energy density, the bulk shear modulus and Poisson ratio of the elastic half-space, respectively. represents an intrinsic length reflecting the surface effect. and are the Struve function and Bessel function of the second kind of order , respectively. The bar “-” emphasizes the solution at . Equation (10) could reduce to the classical solution if the parameter is set to be zero.[34] In contrast to the existing models, the bulk surface energy density serves as a critical parameter to characterize the surface property of the indented material instead of the previously used surface residual stress and surface elastic constants.[13,14,20,21] More details of the derivation of Equation (10) can be found in Ref.[34]