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SOLUTION OF THE SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
STRESS INTENSITY FACTOR
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13 grid 13 radial lines 16 axial 2m x 2m axial and 13 axial displacement distribution axisymmetric BAR WITH PENNY-SHAPED boundary conditions circumferential displacement coefficient matrix containing a penny-shaped coupling vector crack edge crack opening displacement Crack Problems CRACKS UNDER UNIFORM Dimensionless axial displacement discussed in appendix equations 15 figure finite geometry Gyekenyesi Hartranft initial value vectors INTERNAL SURFACE CRACKS line method m x m matrix functions matrix integral series matrix series method of lines NIC NIC x NIC x NIC NICx NOC NOC NOC x NOC NOCx NONDIMENSIONALIZED normal stress distributions number of lines obtained ordinary differential equations particular integrals penny-shaped crack plane strain PLATE WITH INTERNAL radius second-order differential equations shear stress Sneddon SOLID CYLINDRICAL BAR solution vector solutions of equations stress and displacement stress intensity factor TENSION a 1.0 THREE-DIMENSIONAL ELASTIC STRESS three-dimensional problem UNIFORM NORMAL TENSION UNIFORM RADIAL TENSION variables x NIC NIC zero