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- Title
Mixed Plane Problems in Linearized Solid Mechanics: Exact Solutions.
- Authors
Guz, A. N.; Guz, I. A.
- Abstract
The paper analyzes the exact solutions to mixed plane problems of linearized solid mechanics in cases of statics, dynamics, stability, and fracture. The exact solutions have a universal form for compressible and incompressible, elastic and plastic bodies and account for stresses and displacements expressed in terms of analytical functions of complex variables. To obtain these solutions, the use is made of complex variable theory, in particular, the Riemann–Hilbert methods and Keldysh–Sedov formula. When the initial (residual) stresses tend to zero, the exact solutions go over into the corresponding exact solutions of classical linear solid mechanics, which are based on the complex representations due to Muskhelishvili, Lekhnitskii, and Galin
- Subjects
QUANTUM theory; ANALYTICAL mechanics; SOCIAL evolution; BASES (Linear topological spaces); ELLIPTIC functions; VECTOR topology
- Publication
International Applied Mechanics, 2004, Vol 40, Issue 1, p1
- ISSN
1063-7095
- Publication type
Article
- DOI
10.1023/B:INAM.0000023808.08859.48