Application of Flow Theory Relations for Solving Problems of Steady-State Crack Growth

To represent local displacement fields in the problem of steady-state growth a crack, which contains plate incompressible material, strain intensity formula is used form polynomial second degree. The case plane deformation for an elastoplastic material considered. solution obtained by method asymptotic expansions. Numerical analysis carried out first term expansion. aim work process obtaining analytical solutions to applied problems theory plasticity: finding components stress and tensors. paper considers variant expansions its application distribution stress-strain state specimen with crack. has some advantages over numerical approach studying vicinity It allows establish exact quantitative relationships between radial component, angle, tensor. Another advantage this possibility compiling mechanical characteristics object at design stage. A system differential equations been developed that V 0 derivatives up third order. An example crack tip steel sample, computer method, given. diagram constructed 40. research results can be construct as well predict further direction development.