There's loads. Which bit interests you?
The three players broadly speaking are Keynes, Hayek and Friedman. Keynes being the economist that favoured government involvement in building and managing the welfare state model.
Friedman's 1951 essay is worth reading. It's only short.
Link
This is the paragraph on the governments duty of care to provide safety nets. The dominant theory at the time was much more of a post WW2 strong regulated government and economy for all vibe tracing the instability of the 30s back to the Great Crash which arguably led to WW2. So even Friedman knew that not allowing the poor become too poor was a risk not just to them but to society. So while he believed in the markets, he saw the potential dangers.
"Finally, the government would have the function of relieving misery and distress. Our humanitarian sentiments demand that some provision should be made for those who “draw blanks in the lottery of life”. Our world has become too complicated and intertwined, and we have become too sensitive, to leave this function entirely to private charity or local responsibility. It is essential, however, that the performance of this function involve the minimum of interference with the market. There is justification for subsidizing people because they are poor, whether they are farmers or city-dwellers, young or old. There is no justification for subsidizing farmers as farmers rather than because they are poor. There is justification in trying to achieve a minimum income for all; there is no justification for setting a minimum wage and thereby increasing the number of people without income; there is no justification for trying to achieve a minimum consumption of bread separately, meat separately, and so on."
This is a not very glowing article from the Guardian in 2017 titled The Idea That Changed The World
here
The key moments were Chile in 1973, where he convinced the Yanks to 'help' Pinochet undo the regulation of the Chilean economy under the elected left wing governments and install a neoliberal policy.
Thatcher and Reagan embraced it and then I suppose the next big moment was the Clinton/Alan Greenspan era.