Is the husband's silence and smile considered a divorce when the wife jokingly said "Mom is in the trash" meaning she is neglected, and the wife understood from his silence that she has no value to him?

Divorce does not occur except with an explicit utterance or an implicit statement accompanied by the intention to effect it. Silence is not an utterance, and therefore it is not considered a divorce, even if it implies divorce or is understood as a lack of interest. One must avoid obsessive thoughts about divorce and the harm it entails for the wife, as living together honorably is an obligation.