A semi-analytical artificial boundary for time-dependent elastic wave propagation in two-dimensional homogeneous half space

作者：Liu, Tianyun^*; Zhao, Chongbin; Zhang, Chuhan; Jin, Feng

来源：Soil Dynamics and Earthquake Engineering, 2010, 30(11): 1352-1360.

DOI：10.1016/j.soildyn.2010.06.010

• PERFECTLY MATCHED LAYER
• INFINITE ELEMENTS
• UNBOUNDED-DOMAINS
• DYNAMIC-ANALYSIS
• COUPLED METHOD
• P-WAVE
• SCATTERING
• MEDIA
• EQUATION
• FINITE

This paper presents a time-dependent semi-analytical artificial boundary for numerically simulating elastic wave propagation problems in a two-dimensional homogeneous half space A polygonal boundary is considered in the half space to truncate the semi-infinite domain, with an appropriate boundary condition imposed. Using the concept of the scaled boundary finite element method, the wave equation of the truncated semi-infinite domain is represented by the partial differential equation of non-constant coefficients The resulting partial differential equation has only one spatial coordinate variable and time variable. Through introducing a few auxiliary functions at the truncated boundary, the resulting partial differential equations are further transformed into linear time-dependent equations This allows an artificial boundary to be derived from the time-dependent equations. The proposed artificial boundary is local in time, global at the truncated boundary and semi-analytical in the finite element sense Compared with the scaled boundary finite element method, the main advantage in using the proposed artificial boundary is that the requirement for solving a matrix form of Lyapunov equation to obtain the unit-impulse response matrix is avoided, so that computer efforts are significantly reduced The related numerical results from some typical examples have demonstrated that the

• 出版日期2010-11
• 单位中南大学; 清华大学