Application of complex variables and pseudo-stress function to power-law materials and stress analysis of single inclusion in power-law materials subjected to simple tension and pure shear. (English) Zbl 0647.73015
Complex variable techniques and the pseudo-stress function are used to obtain the stress distribution in power-law materials containing a single rigid inclusion subjected to either a uniaxial tensile stress or a simple shear stress. It is argued that certain discrepancies with a former investigator’s results, especially in a neighborhood of the inclusion surface, are to be attributed to a different treatment of stress singularities. The influence of the strain-rate hardening exponent on the stress field (in particular, on the stress concentration factor) is also considered.
Reviewer: P.Podio-Guidugli
MSC:
74C99 | Plastic materials, materials of stress-rate and internal-variable type |
74E05 | Inhomogeneity in solid mechanics |
74G70 | Stress concentrations, singularities in solid mechanics |
74S30 | Other numerical methods in solid mechanics (MSC2010) |
74B10 | Linear elasticity with initial stresses |
74H99 | Dynamical problems in solid mechanics |