"Likewise, husbands, live with your wives in an understanding way, showing honor to the woman as the weaker vessel, since they are heirs with you of the grace of life, so that your prayers may not be hindered.” 1 Peter 3:7
Why use four different articles to discuss one topic? I'm glad you asked. If you neglect to live with your wife in an understanding way, neglect to show honor to your wife as the weaker vessel, or neglect to acknowledge your wife as an heir with you of the grace of life then God will neglect to hear your prayers. I came to experience this first-hand in the early years of my marriage.
I can admit I was not the best husband, and I’m still far from the perfect husband. After much prayer and fasting my wife and I got married at 20 years old after being a couple a little over a year. The first year was actually really good because we were still in the “honeymoon” phase, but as life took it’s toll we were in for a rude awakening. About the second year of our marriage my wife started seeing a counselor because she felt depressed. Her entire family was moving out of the area, her job was very stressful, a family member was on the verge of dying, and on top of that we were still getting used to marriage. 
I never had to lead a wife who was depressed, and boy did I lead! I led us into problem after problem because I thought she just wanted to be selfish and lazy. I was not living with my wife in an understanding way I was living with my wife in an unloving way. I would pray and pray or should I say complain and complain to God about how she needed to be fixed. All along I was the one that needed to fix my heart on God and the Gospel of Jesus Christ. 
We did make it through those times, and it was by God's grace. One day I was pleading to God to show me how to love my wife through her depression, and I was led to 1 Peter 3 where I mediated on verses 1-7 for a few weeks! This is when I began to see my error, and stared to understand God's silence towards me.
Husbands, if God seems to be silent towards your prayers then one place you can examine is how you're treating your wife. Are you living with your wife in an understanding way, are you showing honor to her as the weaker vessel, and lastly are you treating her as a coheir of the grace of life? If you don't know the answers to these questions you can start by asking God to reveal them to you, you can ask your spouse (I'm sure she'll let you know if she hasn't already), and you can do a combination of things like seek wise counsel from your pastor, friends, or family. I'm always here if you'd like to chat as well! 
Thank you for taking time to read this article!