Finite strain contact problem of cylinder embedded in body

The problem studied in this work is that of a uniform, uniaxial tensile load applied to an infinite body with a smooth, circular rigid inclusion. The body surrounding the rigid shaft is a linear elasto-plastic, work-hardening material. The aluminum alloy, 2024 T4, is used to characterize the material parameters of the infinite body. The problem of analysis of displacements, stresses, and strains in elements made of this body subject to arbitrarily large deformations under the conditions of plane strain is formulated in terms of the finite element method. The constant strain triangular element is used. The method of solution to this problem may be applied to any other cylindrical shape of the rigid inclusion in the infinite body.