Plane strain deformation of an initially unstressed elastic medium

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摘要

Selim and Ahmed [1] used the eigenvalue approach by assuming distinct eigenvalues to calculate the elastic deformation due to an inclined load at any point as a result of an inclined line load of initially stressed orthotropic elastic medium. They studied the plane strain problem and obtained the corresponding results for an unstressed orthotropic medium as a particular case. In the present paper, it is shown that all the eigenvalues do not remain distinct, but become repeated when the elastic medium is free from the initial compressive stresses. Further, the displacements and stresses for an unstressed elastic medium have been independently obtained. The variation of the displacements and stresses due to normal and tangential line load are also shown graphically.

论文关键词:Eigenvalue,Plane strain,Initial stress,Line load,Fourier transform

论文评审过程:Available online 19 April 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.03.112