Elastic surface simulation as part of the computational solution to dynamic problems of the theory of elasticity with account for the conditions that cause non-reflection from the boundaries of the computational domain

• Main Author: Nemchinov Vladimir Valentinovich
• Format: Article
• Language: English
• Published: Moscow State University of Civil Engineering (MGSU) 2012-10-01
• Series: Vestnik MGSU
• Subjects: isolines of stresses; characteristic equation; propagation of waves; semi-infinite domain; Rayleigh wave; finite element method; simulation
• Online Access: http://vestnikmgsu.ru/files/archive/issues/2012/9/ru/21.pdf

The author describes the application of certain conditions that deprive the boundaries of certain areas from reflecting properties. A numerical simulation of the elastic wave propagation pattern in the infinite media is to be incorporated into the study of the impact of seismic loads produced on buildings and structures. The problem of elimination of reflected waves from the set of boundaries in the course of calculation of dynamic problems of the theory of elasticity is quite important at this time. The study of interaction between elastic waves and various engineering facilities has been unfeasible for quite a long time. A well-known method of generating counter-propagating waves at the boundary is applied to compensate for the accumulation of longitudinal and transverse waves. The boundary ratio is derived for longitudinal, transverse and other types of waves, including conical surface Rayleigh waves, to check the performance of the proposed methodology. Longitudinal, transverse, and conical surface Rayleigh waves as the main carriers of the elastic energy fail to represent the relation. The problem is solved numerically through the application of the dynamic finite element method. The numerical solution is capable of taking account of the internal points of the area.