Eu criei um layout da AppBar como este

<android.support.design.widget.AppBarLayout
    xmlns:app="http://schemas.android.com/apk/res-auto"
    xmlns:android="http://schemas.android.com/apk/res/android"
    android:id="@+id/appbar_layout"
    android:layout_height="@dimen/app_bar_height"
    android:layout_width="match_parent"
    android:fitsSystemWindows="true"
    android:theme="@style/ThemeOverlay.AppCompat.Dark.ActionBar"
    app:elevation="20dp">

    <android.support.design.widget.CollapsingToolbarLayout...>
</android.support.design.widget.AppBarLayout>

funciona e lança uma sombra no LinearLayout:

<LinearLayout
    xmlns:android="http://schemas.android.com/apk/res/android"
    android:layout_width="match_parent"
    android:layout_height="match_parent">

    <include layout="@layout/app_bar_large" />
</LinearLayout>

No entanto, quando eu o coloco no CoordinatorLayout, a sombra desaparece:

<android.support.design.widget.CoordinatorLayout
    xmlns:android="http://schemas.android.com/apk/res/android" 
    android:layout_width="match_parent"
    android:layout_height="match_parent">

    <include layout="@layout/app_bar_large" />
</android.support.design.widget.CoordinatorLayout>

Como posso fazer com que a appbar mostre sua sombra novamente?