Simulation of fracture of elasto-platic solids with cracks under conditions of out-of plane deformation

5th All-Russian Conference with International Participation POLAR MECHANICS

地球科学;力学

Kurguzov, V.D.^1

Lavrentyev Institute of Hydrodynamics, SB RAS, Novosibirsk, Russia^1

关键词: Anti-plane deformations;    Elastoplastic materials;    Mode III fractures;    Out-of-plane deformations;    Plastic zone width;    Quasi-brittle fracture;    Sequential analysis;    Stress field singularities;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/193/1/012038/pdf
DOI  :  10.1088/1755-1315/193/1/012038

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The paper considers a tearing mode crack (mode III fracture) propagation in elasto-plastic materials having ultimate strain. The fracture process of such material has been described in the modified Leonov-Panasyuk-Dugdale model with using an extra parameter such as the plastic zone width (the pre-fracture zone width. The two-parameter criterion of quasi-brittle fracture for mode III cracks in elasto-plastic material has been derived for conditions of the low-scale yielding in the presence of a stress field singularity of the field in the vicinity of a crack. The deformation fracture criterion has been deduced for the initial crack tip, whereas the force criterion has been deduced for tangential stresses with account for their averaging at the tip of a model crack. The lengths of initial and model cracks differ by the length of the pre-fracture zone. The sequential analysis of application possibility of the proposed strength criterion has been performed when determining fracture loads for solids with tearing mode cracks. Fracture diagrams of quasi-brittle fracture under conditions of antiplane deformation have been plotted for a band with an edge crack.