Elastic/plastic Finite Element Analysis of a Single Edge-Cracked Beam Subjected to Mode I Tensile Loading.

摘要

A thorough analysis of the stresses, strains and displacements surrounding the crack tip of a single edge-cracked beam subjected to Mode I tensile loading was performed by constructing various two-dimensional finite element models. Of particular interest in the analysis was: (1) determination of the Mode I stress intensity factor in the elastic models and (2) examination of the size and character of the plastic zone in the elastic-perfectly plastic models. The finite element program used in the investigation was BOPACE-3D (The Boeing Plastic Analysis Capability for Engines). In order to model the singularity effects at the crack tip, special crack tip elements were utilized immediately surrounding the crack tip. Different crack tip elements were used for the elastic models and the elastic-perfectly plastic models. Both coarse and fine-grid meshes were evaluated in the analysis. The finite element model results are compared to various other solutions. Results for the elastic models are compared to available empirical solutions while the elastic-perfectly plastic results are examined with regard to extent and character of the elastic-plastic region. (Author)