Angular 5 Button Submit On Enter Key Press

try use keyup.enter or keydown.enter

  <button type="submit" (keyup.enter)="search(...)">Search</button>

In addition to other answers which helped me, you can also add to surrounding div. In my case this was for sign on with user Name/Password fields.

<div (keyup.enter)="login()" class="container-fluid">

You could also use a dummy form arround it like:

<mat-card-footer>
<form (submit)="search(ref, id, forename, surname, postcode)" action="#">
  <button mat-raised-button type="submit" class="successButton" id="invSearch" title="Click to perform search." >Search</button>
</form>
</mat-card-footer>

the search function has to return false to make sure that the action doesn't get executed.
Just make sure the form is focused (should be when you have the input in the form) when you press enter.

In case anyone is wondering what input value

<input (keydown.enter)="search($event.target.value)" />