The house is jointly owned and he can indeed come and go as he likes.
Indeed, if you lock him out he is entitled to break in and charge you for the damage.
He would be better using the locksmith to minimise that damage but charge you for it.
He would also be well advised to get the police to attend so that you cannot allege violence.
If he is threatening violence on the other hand you can apply to court for a non-molestation order to prevent him coming within 100 m of you and an occupation order for him to move out of the house.
Here are the government webpages on exactly this subject. https://www.gov.uk/injunction-domestic-violence
There doesn't actually have to be physical violence per se because there can be coercive behaviour for example as you will read in this excellent article: https://rightsofwomen.org.uk/get-information/violence-against-women-and-international-law/domestic-violence-injunctions/
However it’s only going to give you a short-term solution because he’s going to want the property sold.
No one can be compelled to continue to own a property which they no longer wish to own and they are able to force a sale through the courts if necessary.
The remedy is to make an application to court for an order for sale under section 14 of the Trusts of Land Appointment of Trustees Act (the Act).
Anyone wishing to sell may find that a strongly worded letter from a solicitor threatening a court application and an application for costs, may focus the mind without actually having the need to get to court.
Check house insurance to see if there is legal expenses cover that would pay for the legal cost of taking the matter to court.
If I were advising anyone who has received a letter threatening an application to court under the Act and an application for legal costs, I would tell them to get the agents sign up immediately and cooperate with the sale because if they make the court application, they are likely to get it and they are likely to get costs awarded against them.
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