The concept of the consistent viscous-spring artificial boundaries and viscous-spring boundary elements was proposed. The stiffness matrix and damp matrix of the 2D consistent artificial boundaries were deduced. The equivalent viscous-spring artificial boundary elements were developed by comparing the matrix of the general finite element and the consistent viscous-spring artificial boundaries. This method was applied to the uniform and layered half space problems. It was shown that the precision of viscous-spring boundary elements was the same as that of lumped viscous-spring artificial boundaries. The viscous-spring boundary elements were efficient and could be applied simply.
Chinese Journal of Geotechnical Engineering
viscous-spring artificial boundary
artificial boundary element
layered half space