Hiroki Hamano

Elastic-Plastic Analysis in Composite Materials with an Arbitrary Open Notch Meeting an Interface.

The elastic-plastic stress, strain and displacement fields at the tip of an arbitrary open notch meeting an interface for both plane stress and plane strain conditions are investigated analytically. The materials are assumed to be governed by the deformation theory of plasticity with linear strain hardening property. The governing eigenequation, which gives the order of stress singularities, is given in determinant form with traction-free boundary conditions and interface continuity conditions. Using the eigenfunction-expansion method, a solution is obtained for the magnitude of the notch tip singularities λ and the stress and the strain fields are computed for various open notch and material combinations. Mode I, Mode II and mixed-mode cases are discussed.