Go to the calendar that you want to reshare in Outlook, right click on the calendar and go to the properties.
Remove the user you want to reshare your calendar with and click Apply, now add the same user again and click Apply and ok.
The user receives a new mail and can accept the invitation again, in Outlook click on accept.
The user can add this calendar in Outlook , and on a mobile phone? First accept the mail in Outlook after that you can add the shared calendar to your mobile phone.
See example for remove and add the user to share your agenda in Outlook.