Abstract
An isotropic elastic plate weakened by a hole and arbitrary system of cracks is considered. Using the principle of equal strength and minimization of stress intensity factors a theoretical analysis is made of the equistrong hole shape. A criterion and a method for solving the inverse problem of fracture prevention for the plate with a hole under the action of given system of external loads are proposed. A closed system of algebraic equations allowing minimization of the stress state and stress intensity factors depending on geometrical and mechanical characteristics of the plate is obtained. The obtained optimal hole shape provides an increase in the load-bearing capacity of the plate.
Highlights
Stress concentration is one main factor determining strength and durability of constructions
We consider that machine parts must have high strength with minimum weight, the modern tendency to clarify the calculation of the optimal design of these structural elements for strength becomes clear
As a criterion for determining the optimal hole shape (the function ρ(θ)) we accept the condition of equal strength on the contour of the hole with additional conditions that the stress intensity factor equals zero at the cracks tips
Summary
Stress concentration is one main factor determining strength and durability of constructions. A great number of responsible scientists and engineers focused on stress concentration research in different structural elements and finding ways to reduce it. A large number of responsible components of modern constructions and machines are characterized by the availability of various holes, grooves, etc Such typical structural elements are widely used in very different fields of mechanical engineering: in cosmic, rocket, and nuclear engineering, aircrafts industry, shipbuilding, automotive industry, and so on. Minimization of maximum circumferential stress σθ on the hole contour is an urgent problem and is of great practical and theoretical interest Achievement of this goal will help to increase the service ability of plates. The goal of the study is to develop a mathematical model for a plate with a hole and cracks enabling the calculation of the optimal shape of the hole for given loading regimes
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
