Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation

1. Introduction
Zohar Yosibash

2. An Introduction to the p- and hp-Versions of the Finite Element Method
Zohar Yosibash

3. Eigenpair Computation for Two-Dimensional Heat Conduction Singularities
Zohar Yosibash

4. GFIFs Computation for Two-Dimensional Heat Conduction Problems
Zohar Yosibash

5. Eigenpairs for Two-Dimensional Elasticity
Zohar Yosibash

6. Computing Generalized Stress Intensity Factors (GSIFs)
Zohar Yosibash

7. Thermal Generalized Stress Intensity Factors in 2-D Domains
Zohar Yosibash

8. Failure Criteria for Brittle Elastic Materials
Zohar Yosibash

9. A Thermoelastic Failure Criterion at the Micron Scale in Electronic Devices
Zohar Yosibash

10. Singular Solutions of the Heat Conduction (Scalar) Equation in Polyhedral Domains
Zohar Yosibash

11. Extracting Edge-Flux-Intensity Functions (EFIFs) Associated with Polyhedral Domains
Zohar Yosibash

12. Vertex Singularities for the 3-D Laplace Equation
Zohar Yosibash

13. Edge EigenPairs and ESIFs of 3-D Elastic Problems
Zohar Yosibash

14. Remarks on Circular Edges and Open Questions
Zohar Yosibash

15. Definition of Sobolev, Energy, and Statically Admissible Spaces and Associated Norms
Zohar Yosibash

16. Analytic Solution to 2-D Scalar Elliptic Problems in Anisotropic Domains
Zohar Yosibash

17. Asymptotic Solution at the Intersection of Circular Edges in a 2-D Domain
Zohar Yosibash

18. Proof that Eigenvalues of the Scalar Anisotropic Elliptic BVP with Constant Coefficients Are Real
Zohar Yosibash

19. A Path-Independent Integral and Orthogonality of Eigenfunctions for General Scalar Elliptic Equations in 2-D Domains
Zohar Yosibash

20. Energy Release Rate (ERR) Method, its Connection to the J-integral and Extraction of SIFs
Zohar Yosibash

Nyckelord: Mathematics, Computational Mathematics and Numerical Analysis, Theoretical and Applied Mechanics, Appl.Mathematics/Computational Methods of Engineering