According to Material Documentation:

A linear progress indicator should always fill from 0% to 100% and never decrease in value.

It should be represented by bars on the edge of a header or sheet that appear and disappear.

To use a material Linear ProgressBar just use in your xml:

<ProgressBar
    android:id="@+id/my_progressBar"  
    style="@style/Widget.AppCompat.ProgressBar.Horizontal"
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"/>

Indeterminate

To create indeterminate ProgressBar set the android:indeterminate attribute to true.

<ProgressBar
    android:id="@+id/my_progressBar"  
    style="@style/Widget.AppCompat.ProgressBar.Horizontal"
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"
    android:indeterminate="true"/>

Determinate

To create determinate ProgressBar set the android:indeterminate attribute to false and use the android:max and the android:progress attributes:

<ProgressBar  
    android:id="@+id/my_progressBar"
    style="@style/Widget.AppCompat.ProgressBar.Horizontal"
    android:indeterminate="false"
    android:max="100"
    android:progress="10"/>

Just use this code to update the value:

ProgressBar progressBar = (ProgressBar) findViewById(R.id.my_progressBar);  
progressBar.setProgress(20);

Buffer

To create a buffer effect with the ProgressBar set the android:indeterminate attribute to false and use the android:max, the android:progress and the android:secondaryProgress attributes:

<ProgressBar  
    android:id="@+id/my_progressBar"
    style="@style/Widget.AppCompat.ProgressBar.Horizontal"
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"
    android:indeterminate="false"
    android:max="100"
    android:progress="10"
    android:secondaryProgress="25"/>

The buffer value is defined by android:secondaryProgress attribute.

Just use this code to update the values:

ProgressBar progressBar = (ProgressBar) findViewById(R.id.my_progressBar);
progressBar.setProgress(20);
progressBar.setSecondaryProgress(50);