Is the wife obliged to inform her husband of the reasons for her request for divorce? And is her psychological state or illogical reasons taken into consideration when divorce occurs? And does divorce occur simply by the husband divorcing his wife?

Divorce is in the hands of the husband, not the wife. So, if the husband divorces his wife while being fully aware, by choice, and without compulsion, his divorce takes effect. The husband should not rush into divorce, and he should ascertain the reasons for his wife's request for divorce and strive for reconciliation, and treat her if she is afflicted with obsessive thoughts.