Assessments of Solutions of the Uniform Elastic Boundary Value Problem in the Tip Area of a Boundary Wedge-Shape Notch

Abstract

AbstractAssembled structures are distinguished in junction areas of elements of materials with different mechanical properties, under impacts of forced deformations, breaking along the contact line (surface) of the elements, by stress–strain state (SSS). A study of SSS in areas with wedge-shape boundary notches, of the junction of structural elements under impact of forced breaking deformations is a vital practical problem of the engineering design. The stress–strain state in boundary wedge-shape notch areas is obtained experimentally on photoelasticity method models and distinguished by significant stress gradients. In experiments, the interference stripes pattern in such areas is poorly legible. Theoretical studies of SSS in irregular boundary point area are generally reduced to solving of the singular uniform elastic boundary value problem. The complexity of the SSS in irregular boundary point area determines the demand for a complex approach to the study, including experimental data extrapolation method development and solution assessment of the boundary value in the irregular boundary point area. It is the purpose of the study described herein to evaluate the solution of the uniform elastic boundary value problem in the tip area of a wedge-shape notch of the boundary. The area, in which the solution assessment of the elastic value problem is given, is determined by photoelasticity method model.KeywordsCorner zone of the boundary of structureStress–strain statePhotoelasticity methodAssessments of solutions