Printed circuit board stress strain strength analysis using the particle approach

Abstract

Traditionally, the load-carrying printed circuit boards are applied as an electrical engineering device. At the same time, the promising nanosatellites are using them as the spacecraft load-bearing structural elements. The printed circuit board is able to accommodate a relatively heavy solar cell, rotating gyroscopes and a folding antenna. Load-carrying board strength calculation is a complicated task, as a large number of stress concentrators and structural defects are effecting its surface. This makes it difficult to use the traditional concept of “stress at a point” applicable in continuous and differentiable media. In this regard, the paper proposes to introduce the concept of the “model rupture-start time moment for a given particle pair”. Calculations show that even slow loading of the model under consideration leads to extremely intense particles motion, i.e. the static loading hypothesis does not work. To analyze strength of the board under consideration, the Cauchy problem with initial conditions was formulated. The problem solution convergence based on the number of particles in the model was analyzed. The paper shows that the convergence rate is quite high, and to solve the problem under consideration it is sufficient to take a model containing about 100 particles.