damnit1
How old are your children and who does the lion's share of childcare? I mean the routine: - homework supervision, getting toys tidied, bath time, bed time, making sure they have the correct packed lunch/clean school uniform/PE kit/swimming kit/ world book day costume, dealing with how long they spend on playstation/watch tv, sorting out the sibling squabbles etc etc
If very young, do they sleep through the night? If not who gets up to them most often? How do you manage the cleaning/shopping/cooking etc?
Who gets up when they ask for a drink, knock over a cup, need a wee (or whatever depending on age) just after you have sat down to a meal?
Children are incredibly delightful and rewarding but at the same time can be extremely emotionally draining, leaving you with little resource for anything else!
Can you demonstrate your love for her by taking on more of these tasks on a regular basis. Could your wife just be totally worn out?
One way of noticing what is happening is to note when your wife actually sits down to rest in the evening - how often does she do this and for how long? Are you regularly sitting down to computer/tv or going to gym when she is still busy with chores/household stuff?
What would happen if you said nothing, but matched her in time and energy - ie if she is still busy in the evening doing child or household stuff, you continued to work alongside her in a friendly and companionable way, taking on some of the tasks until they were all finished? I'd suggest this as an experiment - try it for 6 weeks and see what happens!
If your wife was posting on here, would she possibly be writing something like OneHandFLapping?
^"I was just like your wife, OP. I was emotionally hooked up with my children, and at the same ime felt trapped by them. And that does something to your sex drive. Plus my DH treated me like an ineffective domestic skivvy, and whined about sex until I dreaded him coming near me. I especially didn't want meals out, or weekends away, because I knew that to him, they just meant sex.
I too would chat animatedly to friends - they were my lifeline."^
Looking at it from another angle, is 6 weeks really that long to go without sex? OK I'm not an expert (by any means), or a bloke (!), but really....?