Automatically Computing the Displacements and Stresses Induced by Three-Dimensional Arbitrarily Shaped Loads in a Transversely Isotropic Medium

摘要

Since the planes of foundations are not usually regularly shaped, and the loads are often applied on the anisotropic materials, such as transversely isotropic soils or rocks, calculating the induced displacements and stresses by an arbitrarily shaped load for a transversely isotropic medium is rather tedious and time consuming. Hence, how to estimate those values correctly and quickly by computer was the major objective in constructing the fast anisotropic displacements and stresses (FADAS). FADAS is based on the solutions of displacements and stresses in a transversely isotropic half space subjected to three-dimensional buried right-angled triangular loads, which were derived by the first writer. Utilizing these solutions, the displacements and stresses for a general triangular region at any point can be obtained by superposition. An illustrative example is given to demonstrate a few features of FADAS, and to elucidate how to compute the vertical displacement induced by a uniform vertical circular load in an equivalent medium. Results from FADAS reveal that the usage of it is correct, easy, and very fast to offer a good tool for practitioners.