地震孕育的包体总崩溃理论(一)--异性介质内嵌椭圆的应力场
THEORY OF COMPLETE FAILURE OF INCLUSION MATERIAL AT THE EARTHQUAKE SOURCE(1)--STRESS DISTRIBU TION OF AN ELLIPTICAL INCULUSION OF DIFFERENT METERIAL
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摘要: 本文推导了二维无限介质内嵌异性介质椭圆的弹性应力场分布.指出 B. T. Brady 在其包体地震理论中的两个错误,即远场双向压力下对剪切断层而言,包体内与椭圆短轴平行的应力不是张应力;而剪切力也不是位置的函数,它不是二次量值,不能忽略.Abstract: For a two-dimensional infinite medium containing an elliptical inclusion of different material, elastic stress distribution formulas are derived. It is pointed out that in the inclusion theory of B.T. Brady there are two errors, namely, (1) the stress component parallel to the minor axis within the elliptical inclusion is not a tensile stress, under far field compression in two directions; (2) shear stress within the inclusion is neither a function of position nor a second order quantity and thus can not be neglected.
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[1] Donnell, L. H., Stress concentrations due to elliptical discontinuities in plates under edge forces Theodore V. Karman Anniversary Volume, California Institute of Technology, Pasadena, Calif.293——309, 1941.
[2] Brady, B. T., Theory of earthquakes, I, A scale Independent theory of rock failure, Pure Appli Geophys. 112, 4, 1974.
[3] Мусхелишвили,Н.И.,Некоторые оснвые задаги математигеской теорий упругости AH CCCP 1954.(数学弹性力学的几个基本间题,赵惠元译,科学出版社,1958).
[4] Knott,J.F., Fundamental of fracture mechanics, Chapter 3,Landon Butterwarths, 1973.
[5] Jaeger,J,C., Elasticity, fracture and flow with engineering and geological applications, John Wiley and Sons,New York,1964.[1] Donnell, L. H., Stress concentrations due to elliptical discontinuities in plates under edge forces Theodore V. Karman Anniversary Volume, California Institute of Technology, Pasadena, Calif.293——309, 1941.
[2] Brady, B. T., Theory of earthquakes, I, A scale Independent theory of rock failure, Pure Appli Geophys. 112, 4, 1974.
[3] Мусхелишвили,Н.И.,Некоторые оснвые задаги математигеской теорий упругости AH CCCP 1954.(数学弹性力学的几个基本间题,赵惠元译,科学出版社,1958).
[4] Knott,J.F., Fundamental of fracture mechanics, Chapter 3,Landon Butterwarths, 1973.
[5] Jaeger,J,C., Elasticity, fracture and flow with engineering and geological applications, John Wiley and Sons,New York,1964.
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