Generalized eigenfunctions and local integral characteristics for quasi-static propagation of cracks in anisotropic materials. (Verallgemeinerte Eigenfunktionen und lokale Integralcharakteristiken bei quasi-statischer Rissausbreitung in anisotropen Materialien.) (English) Zbl 1181.35286

Berichte aus der Mathematik. Aachen: Shaker; Kassel: Univ. Kassel, Inst. für Analysis und Angewandte Mathematik (Diss. 2008) (ISBN 978-3-8322-8142-7/pbk). v, 235 p. (2009).
The thesis contains 7 parts: 1. Mathematical and physical preliminaries; 2. Foundation of Kondratiev’s theory; 3. Eigenfunctions of the operators of the theory of elasticity; 4. Linear mathematical theory of fracture; 5. Numerical calculation of the stress intensivity factor; 6. Numerical calculation of the free energy matrix; 7. Numerical examples.


35Q74 PDEs in connection with mechanics of deformable solids
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
74A45 Theories of fracture and damage
35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids