Stress–Strain State of Angular Areas of Structures

Abstract

In angle-shaped areas of combined structures, a complex stress–strain state (SSS) occurs stipulated not only by the geometry of the boundary cut-out, but also by rupture of the forced deformations coming to the vertex of the wedge-shape boundary notch. For the stress analysis (SA) of the wedge-shape boundary notches elements of the similarity theory and of the dimensional analysis. Problem solution of the elasticity theory for the complex area in one of the subareas of which forced deformation occurs is obtained experimentally on polymer models by photoelasticity method. The breach of the forced deformations comes to an irregular point of the boundary area, the vertex of the wedge-type notch. The objective of the paper is the study of the SA of structure’s angular areas based on the theoretical and experimental approach using elements of the similarity theory and of the continual photoelasticity method. The combined usage of the elements of the similarity theory and of the experimental problem solution allows for unveiling the specifics of the tension distribution in the wedge-type boundary notch area. A conclusion is made on similarity and uniformity of the stress in the wedge-shape boundary notch area.KeywordsStress stateAngular areas of structure boundaryElements of similarity theoryPhotoelastic methodIsochromatic orders