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楔形空间中任意形状孔洞对平面SH波的散射:IBEM求解
  • ISSN号:0254-7805
  • 期刊名称:《固体力学学报》
  • 时间:0
  • 分类:TU435[建筑科学—岩土工程;建筑科学—土工工程]
  • 作者机构:[1]天津城建大学天津市软土特性与工程环境重点实验室,天津300384, [2]天津市地震工程研究所,天津300384, [3]天津大学土木工程系,天津300072
  • 相关基金:国家自然科学基金项目(51278327)和“973”计划项目(2011CB013603)资助.
中文摘要:

采用间接边界元法(IBEM),求解了楔形空间中任意形状孔洞对平面SH波的散射问题.基于单层位势理论,首先在孔洞表面及其附近楔形空间表面上施加虚拟均布荷载,以构造散射波场.进而由自由表面零应力条件,建立方程求解得到虚拟荷载密度.总波场由楔形空间自由波场和散射波场叠加得到.研究表明:IBEM方法能够精确高效求解楔形空间中弹性波散射问题.楔形空间孔洞对波的散射特征依赖于波入射角、无量纲入射波频率、楔形夹角、孔洞位置及其形状;孔洞周围波的相干效应十分显著,空间表面位移幅值及孔边动应力集中因子比半空间情况放大一倍有余,分别达到8.5和10.0;该研究为楔形空间中更为复杂的P、SV波散射问题求解奠定了基础.

英文摘要:

The scattering of plane SH waves by an arbitrary shaped cavity in a wedge-shaped space is investigated by using the indirect boundary element method (IBEM) in this contribution. According to the theory of single-layer potential,the scattering wave field can be constructed by applying virtual uniform load on the free surfaces of cavity and the wedge-shape space. Then the density of virtual load can be solved by applying the zero-stress condition on the free surfaces. The total wave field is obtained by the superposition of free-wave field and scattering-wave field in wedge-shaped space,indicating that the IBEM can solve accurately and efficiently the diffraction of elastic wave in wedge shaped space. Results show that (1) the scattering of waves depends on the angle of incidence, the frequency of the incident wave, the shape and location of cavity and the angle of the wedge; (2) the waves interface effect around the cavity in wedge space seems more significant, and the wedge space surface displacement amplitude and stress concentration factor on cavity surface can reach 8.5 and 10.0 respectively which are twice more than that of the case of half space. This study provides a potential method to analyze the scattering of P and SV waves in wedge-shaped space.

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期刊信息
  • 《固体力学学报》
  • 北大核心期刊(2011版)
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会
  • 主编:方岱宁
  • 地址:武汉华中科技大学南一楼西北508室
  • 邮编:430074
  • 邮箱:amss@mail.hust.edu.cn
  • 电话:027-87543737
  • 国际标准刊号:ISSN:0254-7805
  • 国内统一刊号:ISSN:42-1250/O3
  • 邮发代号:38-44
  • 获奖情况:
  • 获得第二届全国优秀科技期刊三等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国化学文摘(网络版),荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊(2004版),中国北大核心期刊(2008版),中国北大核心期刊(2011版),中国北大核心期刊(2014版),中国北大核心期刊(2000版)
  • 被引量:6186