岩土力学
巖土力學
암토역학
ROCK AND SOIL MECHANICS
2013年
8期
2378-2384
,共7页
SH 波的散射%Green 函数%保角映射%夹杂与裂纹
SH 波的散射%Green 函數%保角映射%夾雜與裂紋
SH 파적산사%Green 함수%보각영사%협잡여렬문
scattering of SH-waves%Green’s function%conformal mapping%interaction of inclusion and crack
采用 Green 函数、保角映射等方法分析 SH 波上方垂直入射时弹性半空间中椭圆形弹性夹杂与任意方位裂纹的相互作用。首先,求解含椭圆形弹性夹杂的弹性半空间内任意一点承受时间谐和出平面线源荷载作用时的位移基本解,即 Green函数,再结合裂纹切割法构造裂纹,得到 SH 波上方垂直入射时椭圆夹杂和裂纹同时存在条件下的位移场与应力场。作为算例,给出大量的数值结果,探讨不同参数情况下弹性夹杂周边动应力集中系数(DSCF)、地表位移及裂纹尖端动应力强度因子(DSIF)的分布规律,结果表明不同参数的变化会对三者的分布带来一定的影响。
採用 Green 函數、保角映射等方法分析 SH 波上方垂直入射時彈性半空間中橢圓形彈性夾雜與任意方位裂紋的相互作用。首先,求解含橢圓形彈性夾雜的彈性半空間內任意一點承受時間諧和齣平麵線源荷載作用時的位移基本解,即 Green函數,再結閤裂紋切割法構造裂紋,得到 SH 波上方垂直入射時橢圓夾雜和裂紋同時存在條件下的位移場與應力場。作為算例,給齣大量的數值結果,探討不同參數情況下彈性夾雜週邊動應力集中繫數(DSCF)、地錶位移及裂紋尖耑動應力彊度因子(DSIF)的分佈規律,結果錶明不同參數的變化會對三者的分佈帶來一定的影響。
채용 Green 함수、보각영사등방법분석 SH 파상방수직입사시탄성반공간중타원형탄성협잡여임의방위렬문적상호작용。수선,구해함타원형탄성협잡적탄성반공간내임의일점승수시간해화출평면선원하재작용시적위이기본해,즉 Green함수,재결합렬문절할법구조렬문,득도 SH 파상방수직입사시타원협잡화렬문동시존재조건하적위이장여응력장。작위산례,급출대량적수치결과,탐토불동삼수정황하탄성협잡주변동응력집중계수(DSCF)、지표위이급렬문첨단동응력강도인자(DSIF)적분포규률,결과표명불동삼수적변화회대삼자적분포대래일정적영향。
Green’s function method and "conformal mapping" technology are used to analyze interaction of an elliptical elastic inclusion and a crack at arbitrary position under incident SH-waves from above. The fundamental solution to the displacement field for elastic half space containing an elliptical inclusion while bearing a time harmonic out-plane line source load at any point was firstly constructed, namely the suitable Green’s function. Combined with “crack-division” technology, a beeline crack was then created to derive the displacement field and stress field of elastic half-space containing an elliptical elastic inclusion and a crack. Lastly, numerous numerical examples are given to discuss distribution regularities of dynamic stress concentration factor (DSCF) around the elliptical inclusion, the horizontal surface displacement and dynamic stress intensity factor (DSIF) at crack tip under different parameters, and the results demonstrate that variation of different parameters can bring certain effect on them.