This paper presents a new method of contact plasticity analysis based on Galerkin vectors to solve the eigenstresses due to eigenstrain. The influence coefficients relating eigenstrains to eigenstresses thus can be divided into four terms the one due to the eigenstrains in the full space, others due to the mirrored eigenstrains in the mirror half space. Each term can be solved fast and efficient by using the three-dimensional discrete convolution and fast Fourier transform (DC-FFT) or the three-dimensional discrete correlation and fast Fourier transform (DCR-FFT). The new method is used to analyze the contact plastic residual stresses in half space.
A Fast Method for Solving Contact Plasticity in a Half Space
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Wang, Z, Jin, X, Liu, S, Keer, LM, Cao, J, & Wang, QJ. "A Fast Method for Solving Contact Plasticity in a Half Space." Proceedings of the ASME/STLE 2011 International Joint Tribology Conference. ASME/STLE 2011 Joint Tribology Conference. Los Angeles, California, USA. October 24–26, 2011. pp. 293-294. ASME. https://doi.org/10.1115/IJTC2011-61147
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