The stress–strain curves of polycrystalline silver are measured by an Instron tensile test machine controlled by a computer registering 20 points per second of the load-elongation curve. The large number of the measured points makes it possible to perform a detailed analysis of the mathematical structure of the stress–strain curves. An equation for the possible functions suitable to describe the curves is established. It is shown that a limiting value of the functions satisfying this equation describes the stress–strain curves practically exactly.