Machines. Technologies. Materials.
Vol. 19 (2025), Issue 1, pg(s) 11-17

MACHINES

A Novel Hybrid Iterative Approach for Defining Plane Stress and Strain States

  • 1 Department of Mechanics, Faculty of Mechanical Engineering, Polytechnic University of Tirana

Abstract

The definition of plane stress and strain states plays a crucial role in engineering, as recognizing these states within a structure enables the optimization of its design. This article introduces a novel hybrid wave method for analysing a circular disc geometry, with potential extensions to other geometric configurations. The method involves applying wave forces corresponding to the external loads, which then propagate through the structure and reflect back at the contours to satisfy static equilibrium conditions. The process is conceptualized in two phases while the first phase involves the application of forces where the second phase accounts for the arrival and reflection of waves at the contour boundaries. In each case, the static equilibrium at the contours is maintained by considering the reflection of the stress waves, or return waves. By incorporating these return waves and ensuring the boundary conditions are met, this approach facilitates the determination of stress at any given point within the structure.

Keywords

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