Usage patterns
心身を鍛えるto train/strengthen both mind and body
You can train your mind and body through martial arts.
心身ともに〈形容詞〉both mentally and physically (state)
I became exhausted both mentally and physically after the long business trip.
心身の健康を保つto maintain physical and mental health
A regular lifestyle helps maintain physical and mental health.
心身に負担をかけるto put strain on mind and body
Excessive work puts strain on both the mind and body.