Following is my raster file and mask shapefile
I use QGIS 1.8.0 to clip the raster with shapefile by GDAL tools, but after I run warp in GDAL tools it's just give me no data in the output GeoTiff.
I think the extent and projection of the Geotiff do not match. The extent is:
-10.0000000000000000,36.0000000000000000 : 19.0000000000000000,54.0000000000000000
which looks like degrees for the South Western part of Europe. But the projection is given as North Pole LAEA Europe, which has metres as units. So your raster is only a small spot in the northern ice region, far away from your clip vector data.
You have to run
gdalwarp -s_srs EPSG:4326 -t_srs EPSG:4326 M_0.tif M_1.tif
to change the projection without reprojecting the raster data. In second run I applied the Clipping. This is what I got: