Influence of Rigid Boundary and Initial Stress on the Propagation of Love Wave

• 作者: Amares Chattopadhyay Dinesh K. Majhi Shishir Gupta Sumit K. Vishwakarma
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Love WAVES INITIAL Stress HETEROGENEOUS HALF-SPACE RIGID Boundary Phase Velocity
• 年，卷（期）: 2011,（5）
• 页码范围: 586-594
• 页数: 9页
• 分类号: O1

摘要

In the present paper we study the effect of rigid boundary on the propagation of Love waves in an inhomogeneous substratum over an initially stressed half space, where the heterogeneity is both in rigidity and density. The dispersion equation of the phase velocity has been derived. It has been found that the phase velocity of Love wave is considerably influenced by the rigid boundary, inhomogeneity and the initial stress present in the half space. The velocity of Love waves have been calculated numerically as a function of KH (where K is a wave number H is a thickness of the layer) and are presented in a number of graphs.