AnimatedPhysicalModel

bool _first = true;

@override
Widget build(BuildContext context) {
  return Column(
    mainAxisAlignment: MainAxisAlignment.center,
    children: <Widget>[
      AnimatedPhysicalModel(
        duration: const Duration(milliseconds: 500),
        curve: Curves.fastOutSlowIn,
        elevation: _first ? 0 : 6.0,
        shape: BoxShape.rectangle,
        shadowColor: Colors.black,
        color: Colors.white,
        borderRadius: _first
          ? const BorderRadius.all(Radius.circular(0))
          : const BorderRadius.all(Radius.circular(10)),
        child: Container(
          height: 120.0,
          width: 120.0,
          color: Colors.blue[50],
          child: FlutterLogo(
            size: 60,
          ),
        ),
      ),
      SizedBox(height: 20,),
      RaisedButton(
        child: const Text('Click Me!'),
        onPressed: () {
          setState(() {
            _first = !_first;
          });
        },
      ),
    ],
  );
}