Analytical Description of Plastic Deformation Distribution in the Neck of a Flat Tensile Specimen

This work presents an analytical description of the non-uniform field distribution of plastic deformation in a flat specimen, which determines distortion of the specimen in the necking zone. The proposed method enables to be simulated the real non-uniform distributions of plastic deformation and neck distortion according to experimental measurements data. Analytical expressions are suitable for calculation of gradients and concentration of stress in the neck of a flat specimen made of real material, using well-known analytical and numerical methods: finite element methods, boundary element methods, relaxation element methods etc.