(CNN) -- Defending women's champion Serena Williams made light work of Russia's Anna Chakvetadze defeating her 6-0 6-1 in just 49 minutes out on Court two.
The win keeps Williams on course for a 13th Grand Slam title and sets up a third round meeting with Dominika Cibulkova.
Danish third seed Caroline Wozniacki won 6-4, 6-3 against Taiwan's Chang Kai-Chen who was playing at her first Wimbledon Championships.
Wozniacki's win sets up a third round clash with Russian Anastasia Pavlyuchenkova.
Earlier on on Court 1, 16th seed Maria Sharapova overcame the challenge from Iouna Raluca Olaru winning comfortably 6-1 6-4 on court number one to ease into the third round.
Sharapova is joined in the last 32 by Polish seventh seed Agnieszka Radwanska and Italian 10th seed Flavia Pennetta.
But the 23rd seed and former Wimbledon semi-finalist Zheng Jie is out after being defeated 4-6 6-2 2-6 by Petra Kvitova.
Svetlana Kuznetsova also bowed out of the tournament. The former French Open champion was beaten 6-4, 2-6, 6-4 by Australia's Anastasia Rodionova.