Quasi-brittle fracture of foam-polystyrene plates with hole
Issue title: 11th International Conference on Fracture (ICF11), Torino, Italy, 20–25 March 2005. Mini-Symposium – “Complexity, Scaling and Non-linearity in the Mechanics of Advanced Materials”
Affiliations: Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Lavrentyev Avenue, 15, Novosibirsk 630090, Russia
Abstract: Experiments were performed to determine the quasi-brittle fracture of foam-polystyrene plates of trademark PSB-25 involving some holes, cuts and also without them. The plates of dimensions 1×1 m and thickness 5 cm are used. The ultimate strength of material, Young's modulus, Poisson's ratio, pre-fracturing strain and critical coefficient of stress intensity were determined. All holes in plates are made as central holes having circular, elliptic and square shapes. A major axis of elliptic holes is located both normally to the stretching directions and at angle 45° to this direction. To analyze experimental data, a numerical algorithm is used because the relation among the sizes of holes and plates does not correspond to the known problems on stress concentrations for infinite planes. Using the gradient fracture criterion as the base and the boundary element method (the fictitious stress method), the above computational strength algorithm is constructed. The experimental data are compared with the calculation results. The application of classic strength criterion resulted in lower evaluations of critical stresses and loads. In comparison with the classical criterion, the use of the gradient fracture criterion leads to better agreement between numerical estimates and experimental data.
Keywords: Fracture, foam-polystyrene plates, stress concentration, gradient fracture criterion, experimental data, numerical evaluations, the boundary element method
