Cruelty to animals
The abuser may punish animals brutally, be insensitive to their pain or suffering, or neglect to care for the animals to the point of cruelty, e.g. not feeding them all day, leaving them in areas he/she knows will cause them suffering or distress.
There is a strong correlation between cruelty to animals and domestic violence which is still being researched.
Cruelty to children
The abuser's unrealistic expectations of their partner are often mirrored in their attitude toward children. He/she will think of children as 'small adults' and blame the children for not being responsible, having common sense or understanding.
He/she may expect children to be capable far beyond their ability (e.g. is angry with a two-year old for wetting their pants or being sick on the carpet, waking at night or being upset by nightmares) and will often meet out punishments for 'naughtiness' the child could not be aware of.
Abusers may tease children until they cry, or punish children way beyond what could be deemed appropriate. He/she may not want children to eat at the table, expect them to stay quiet, or keep to their room all evening while he/she is at home.
Since abusers want all your attention themselves, they resent your spending time with the children or any normal demands and needs the children may have. As above (cruelty to animals), there is a very strong link between domestic abuse and child abuse.