"wreaking damage" is correct and usable in written English.
You can use it when referring to an action or behavior that has had a destructive impact. For example: "The tornado caused havoc, wreaking damage across the entire city."
Typhoon Bopha last year flattened three coastal towns on the southern island of Mindanao, killing 1,100 people and wreaking damage estimated at $1.04bn.
After days of ruinously heavy storms in southern Louisiana, rain-swollen rivers and creeks continued wreaking damage across the state, inundating neighborhoods and submerging roads and highways.
There can be no doubt that climate change is happening; it has already started wreaking damage, and is set to do much more.
From the animated "Powerpuff Girls" to the ABC series "Alias," in which Jennifer Garner plays a deadly secret agent in stretch fabrics, women are wreaking damage in ways previously reserved for the hairier sex.
Mr Aso's approval ratings have risen from abysmal lows, helped by his robust stance in the face of a rocket that North Korea fired over Japan on April 5th.Yet Mr Aso has benefited most from the main opposition leader, Ichiro Ozawa, wreaking damage on his own Democratic Party of Japan (DPJ).
Haiyan smashed into the southern Phillippines, killing 6,000 people and wreaking massive damage.
THE great economic quake of '08 rattled Detroit mightily, wreaking severe damage to the foundation of the American auto industry.
In many places around the world, jellyfish populations are sharply increasing, stinging more people and wreaking economic damage.
But the resulting dearth of females is already wreaking social damage, which can only worsen.Demographers have long puzzled over India's skewed sex ratio.
The planet would warm by searing 10C if all fossil fuels are burned, according to a new study, leaving some regions uninhabitable and wreaking profound damage on human health, food supplies and the global economy.
But on Sunday, Mr. Mbeki's two-and-one-half-hour keynote speech to the party's conference dwelled heavily on political corruption, a virus that he warned is wreaking "repulsive" damage on the A.N.C.
