I continued to explore the topic of prestressed concrete sleepers. In doing so, I came across two articles.
The first, “Finite Element Models of Prestressed Concrete Sleepers and Fastening Systems in North America,” from the University of Illinois at Urbana-Champaign, Urbana, IL, USA deals with a finite element model for concrete sleepers because, quote:
In North America, the American Railroad Engineering and Maintenance-of-way Association (AREMA)’s Recommended Practices, which has been developed empirically, has been widely adopted as a general design guideline for prestressed concrete sleeper and fastening system design (AREMA, 2012). Therefore, this study focuses on developing a finite element (FE) model of prestressed concrete sleepers and fastening systems to improve the knowledge and understanding of the mechanistic behaviors of the railroad infrastructure.
Source: https://railtec.illinois.edu/wp/wp-content/uploads/pdf-archive/Shin-et-al-2013-WCRR.pdf
Far more interesting is the article by Rail.One, Design of prestressed concrete sleepers, which has also been manufacturing prestressed concrete sleepers for the American market in Clinton, Iowa, since 2014.
The company has developed a new sleeper for the American market. In designing it, they took into account both AREMA and European standards, using the less favorable results in each case.
It was found that AREMA delivers greater moments under the rail seat than European standards (EN), and 17% less in the middle of the sleeper. This could explain the cracking of the sleepers in the middle, as well as the attempt to additionally prestress the middle of the sleeper using the method described in the OP.
The greater moment under the rail seat results from the fact that AREMA specifies the load as point-like, while EN standards provide for a flat introduction over the base area of the rail seat, which leads to a rounding of the moments.
Source: https://www.globalrailwayreview.com/article/2412/prestressed-concrete-sleepers/
Apparently, the problem of cracks can be solved quite normally with the usual prestressing.
Regards, Volker
PS: Rail.One has been producing concrete sleepers for 70 years.