From Wiktionary, the free dictionary
cave in third-person singular simple present caves in present participle caving in simple past and past participle caved in
To collapse inward or downward .
Synonyms: cave break crush give way stave stave in The roof caved in under the weight of the snow.
He caved-in the side of the barrel with a single well-placed kick.
( figurative ) relent ; to grant approval against one's initial will.
Synonyms: cave assent give in give up relinquish yield comply acquiesce After he asked me a few times, I finally caved in and had a slice of cake.
2022 December 14, Christian Wolmar, “Productivity should play no part in pay negotiations”, in RAIL , number 972 , page 46 :Eventually the NUR overplayed its hands with an all-out strike. And when Peter Parker, the then-chairman of BR, who was well regarded among his staff, called their bluff by threatening to close down the entire network, they caved in .
to collapse inward or downward
Chinese:
Mandarin: 落磐 ( luòpán )
Danish: falde sammen styrte sammen
Dutch: afkalven (nl)
Finnish: sortua (fi) , romahtaa (fi)
French: s’effondrer (fr) , cabosser (fr)
Galician: afundir (gl)
German: einbrechen (de) , zusammenbrechen (de)
Japanese: 凹む (ja) ( へこむ, hekomu ) , 倒れる (ja) ( たおれる, taoreru ) , 窪む (ja) ( くぼむ, kubomu )
Khmer: ស្រុត (km) ( srot )
Norwegian:
Bokmål: gi etter (no) , kollapse bryte sammen knele (no)
Romanian: prăbuși (ro)
Russian: обваливаться (ru) ( obvalivatʹsja ) , обрушаться (ru) ( obrušatʹsja )
to relent, comply, lose willpower, etc.
Albanian: please add this translation if you can
Armenian: please add this translation if you can
Belarusian: паддавацца impf ( paddavacca ) , паддацца pf ( paddacca ) , даваць слабіну impf ( davacʹ slabinu ) , даць слабіну pf ( dacʹ slabinu )
Chinese:
Mandarin: 屈服 (zh) ( qūfú )
Danish: bryde sammen kollapse
Esperanto: please add this translation if you can
Estonian: please add this translation if you can
Finnish: myöntyä (fi) , taipua (fi) , alistua (fi) , antaa myöten (fi)
French: s’effondrer (fr)
German: nachgeben (de)
Hungarian: please add this translation if you can
Latvian: please add this translation if you can
Lithuanian: please add this translation if you can
Norwegian:
Bokmål: gi opp (no) , kapitulere resignere
Polish: uginać się impf ugiąć się pf
Romanian: ceda (ro)
Russian: уступaть ( ustupatʹ ) , прогибаться (ru) ( progibatʹsja ) , сдаваться (ru) ( sdavatʹsja ) , поддаваться давлению ( poddavatʹsja davleniju ) , давать слабину ( davatʹ slabinu )
Slovak: please add this translation if you can
Spanish: ceder (es)
Turkish: please add this translation if you can
Ukrainian: please add this translation if you can
cave in plural cave ins
Misspelling of cave-in . 
