A complex-variable method for two-dimensional internal stress problems and its applications to crack growth in nonelastic materials. I. Theory. (English) Zbl 0604.73099
A systematic method based on an nonanalytic complex calculus is developed for two-dimensional internal stress problems. The method is employed to derive the internal stress due to a field of nonelastic strain, which can be nonzero at infinity, in an infinite uncracked or cracked body.
MSC:
74R05 | Brittle damage |
74S30 | Other numerical methods in solid mechanics (MSC2010) |
74G70 | Stress concentrations, singularities in solid mechanics |