Erode (verb)

1. To gradually wear away or weaken something, especially by the action of water, wind, or ice.
2. To gradually reduce or destroy something, especially by a gradual process.

Origin:

From latin ĕrōdere, from e- ("out") + rōdere ("to gna.w")

Examples:

1. The river's currents are eroding the banks.
2. The wind and sand eroded the stone statues.
3. The coastal erosion is causing the beach to shrink.
4. The constant criticism eroded her confidence.
5. The company's profits have been gradually eroding for years.