The phrase "brings pressure bear" is not a common phrase, but it can be explained phonetically. "Brings" is spelled as /brɪŋz/, with the voiced "z" sound at the end. "Pressure" is spelled as /ˈprɛʃər/, with the first syllable pronounced with an "sh" sound. "Bear" is spelled as /bɛr/, with the "e" pronounced as a short vowel sound. Altogether, the phrase can be pronounced as /brɪŋz ˈprɛʃər bɛr/ and may imply the idea of someone or something going through a challenging situation.