Elasto-Plastic Problem for a Cracked Plate
Elasto-plastic deformation of a center-cracked circular plate has been considered, displacements on its boundary being given. The use is made of the Leonov-Panasyuk-Dugdale’s crack model [1,2]. The problem is reduced to the singular integral equation with a discontinuous right-side. Numerical and approximate analytical solutions have been obtained and compared between themselves. The stable/unstable crack growth was shown to depend on the proximity of the crack to the plate boundary. The relationship between the solution of the problem for the infinite plate and the one presented is established and its practical applications are indicated.
KeywordsStress Intensity Factor Plastic Zone Circular Plate Singular Integral Equation Crack Model
Unable to display preview. Download preview PDF.
- 2.Leonov, M.Ya.; Panasyuk, V.V.: Propagation of minute cracks in solids. Prikladnaya Mekh. 16 (1959) 64–70.Google Scholar
- 5.Kantorovich, L.V. Functional analysis and applied mathematics. Uspiekhi Matematicheskikh Nauk 3, H6, (1948).Google Scholar
- 6.Gakhov, F.D. Boundary problems. Moscow: Fizmatgiz 1962.Google Scholar