The Solution of Non-Axisymmetric Problems in Transversely Isotropic Elastic Subgrade with Laplace Transform
Based on the essential equations of transversely isotropic Mechanics in rectangular coordinates, the elastic controlling equations of transversely isotropic problems is transformed into a linear Constant coefficient homogeneous state equation by using double-Laplace transform and its differential properties. Then a general method is given for transversely isotropic elastic subgrade under arbitrary loading by means of the theory of the state space. The results of this paper are close to the calculation results of the finite element method and Bossinesq, as it showing this method is feasible. This paper gives a new method for transversely isotropic elastic subgrade.
Y. K. Wang and E. Wang, "The Solution of Non-Axisymmetric Problems in Transversely Isotropic Elastic Subgrade with Laplace Transform", Applied Mechanics and Materials, Vols. 90-93, pp. 2353-2357, 2011