Hello,
As I studied once Capital theory in the early 20th century, particularly Clark, Fisher and Bohm-Bawerk theories, some appointments of what I remember of these studies...

It appears to me that all economics based in a production function disregard the causal link between production process. Moreover, even representative agent models does not fit well the problems that arise in changing technologies or process of production (as we see in Wicksell or Bohm-Bawerk works). And, last but not least, I think Clark can be credited to be the first one (at least in US) to disregard time in production, as he created the concept of a permanent fund of capital. In this view, material production could be disregarded as in equilibrium (static) the process of production which occurs in time could be seen as occurring in the same time period, i.e, could be represented  by a production function. We can see that in his major work The distribution of Wealth.

Regards,

Manoel Galdino