Spade connector. I'm in the UK, there may be regional differences in the most widely used name. I think Lucar was a brand name, from their use in automotive products by the British firm Lucas. Faston seems common in the US.
In addition to Criggie's note about cable temperature, be aware that the colour of the plastic cover on the crimp section is significant; it indicates the range of wire size that can be crimped into it, so it is loosely linked to the current rating. Check the datasheets for your chosen manufacturer, or copy the existing rating. They are likely to be roughly standardized between manufacturers, but I wouldn't guarantee it.
These are known under many names, some of which refer to multiple types.
As seen above, these are known the female connectors are Push On, while the male is a Tab connector. Also known as Blade connectors, sometimes known as Spade connectors (But spade connectors are really Fork connectors). Tongue connectors is not uncommon. Quick Disconnects is a common term as well.
Male Fork and Blade connectors can fit in female blade connectors. Both ring and fork connectors can be used with screws.