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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

Citations:

Zbl 0604.73100
Full Text: DOI