Computation of Stress Intensity Factors.
WASHINGTON UNIV ST LOUIS MO CENTER FOR COMPUTATIONAL MECHANICS
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The performance characteristics of the generalized influence function method for the approximate computation of the amplitudes of the eigenfunctions of the equations of plane elasticity in the vicinity of sharp reentrant corners were evaluated. The eigenfunctions satisfy the equations of equilibrium, compatibility and stress-strain laws and the free-free boundary conditions at reentrant corners. The amplitudes of the eigenfunctions are called the generalized stress intensity factors. It is concluded that the generalized stress intensity factors can be computed to within one percent relative error with small computational effort. Therefore the essential characteristics of the elastic stress field in the neighborhood of reentrant corners can be determined with great precision. This computational technology is essential for the development of theories of crack initiation in metals and composites. Additional keywords fracturemechanics eigenvalues linearity. Author