ELASTOPLASTIC ANALYSIS OF A FINITE PLATE WITH AN ECCENTRIC CRACK LOADED BY TWO PAIRS OF CONCENTRATED TENSILE FORCES

It is commonly known that the situation of eccentric crack in finite plate is more common than that of centric crack in finite plate. The near crack line analysis method is thusly used to simplify its solutions and reduce its mathematical difficulty. The analytical solutions for an eccentric crack in a finite plate loaded by two pairs of concentrated tensile forces are obtained, which includes the unit normal vector of the elastic-plastic boundary near the crack line, the elastic-plastic stress fields near crack line and the law of the plastic zone along the crack line with external loads. The solutions are sufficiently precise near the crack line in elastic-perfectly plastic materials.