MELBOURNE (Reuters) - Jennifer Brady battled through her frustrations to overhaul friend and United States team mate Jessica Pegula 4-6 6-2 6-1 and reach her maiden Australian Open semi-final on Wednesday. Brady, the 22nd seed, was a picture of anguish early in the clash on a stifling day at Rod Laver Arena but gradually dialled in her power game before crushing Pegula in the final set. Brady reached her second Grand Slam semi-final after making the last four at last year’s U.S. Open. With world number one Ash Barty shocked by Karolina Muchova in the early quarter-final on Wednesday, Brady has a golden chance to reach her maiden Slam final.