Day two of the 2015 US Open saw the bottom half of the Ladies' draw get underway, with four seeded players' tournaments ending prematurely as they crashed out in round one.

However, the majority of matches followed the script, with the remaining 12 seeds progressing on what was a tough day for the qualifiers.

Generally good day for the seeds

Despite the failings of a few, it was a good day for the big guns at Flushing Meadows.

The first section of the bottom half of the draw, in fact, has all four of its seeds in the second round, as Petra Kvitova, Anna Karolina Schmiedlova, Andrea Petkovic and Garbine Muguruza all progressed.

Petkovic was the only player who was forced to go all the way, with 21-year-old Caroline Garcia, who was a seed at this year's Wimbledon, losing in the decider to the German. However, Petkovic's compatriots in the section did not fair well, the other three all eliminated by the seeds - Kvitova overcame qualifier Laura Siegemund, Schmiedlova defeated Julia Görges, and Muguruza dispatched of Carina Witthöft.

The second section of this side of the draw also has all four of its seeds remaining, with Sara Errani comfortably beating qualifier Mayo Hibi 6-0 6-1; Samantha Stosur victorious against Timea Babos, Flavia Pennetta coming through after three sets aganst Jarmila Gajdošová, and Caroline Wozniacki defeating American wildcard Jamie Loeb.

Though the seeds stumbled further down the draw, Victoria Azarenka and Angelique Kerber both kept their cool as they came through comfortably against Lucie Hradecká and Alexandra Dulgheru, respectively.

Sabine Lisicki was another comfortable victor, the 24th seed defeating qualifier Aliaksandra Sasnovick 6-1 6-4, whilst Simona Halep was helped by the retirement of her opponent, Marina Erakovic, albeit after she had already raced 6-2 3-0 ahead.

A 2015 Grand Slam finalist is amongst those on the wrong end of upsets

As aforementioned, however, it was not all smooth sailing for the seeds, with four falling at the first hurdle on day two.

Lucie Safarova's exit was the big story, this year's French Open finalist defeated by Lesia Tsurenko - and comfortably too, the Ukranian coming out victorious by a 6-4 6-1 scoreline. Safarova's predicted third round opponent was another of the seeds who crashed out, Irina-Camelia Begu defeated in three sets this time by Olga Govortsova. The Belarussian took the first set 6-1, before Begu replied by bageling her opponent, but Govortsova was victorious in the decider's tiebreak.

Right at the bottom of the draw, Japan's promising 23-year-old Kurumi Nara caused a shock as she defeated Alize Cornet in three sets - coming from a set down to do so as well. In the same section, 14th seed Timea Bacsinszky was also eliminated, the Swiss losing in straight sets, albeit both very different - Barbora Strýcová taking the first 7-5, before cruising to victory with a bagel in the second.

Mixed bag for Brits

After Heather Watson crashed out on day one, Britain's only other two representatives in the draw were in action on Tuesday - Laura Robson and Johanna Konta.

Robson was continuing her return from injury, having spent 16 months out to have wrist surgery, and the 21-year-old showed glimpses of her promise against her first round Russian opponent, Elena Vesnina, taking the first set 6-3.

However, she was unable to maintain this level throughout, losing the second set 6-3, before the decider almost went all the way, only for Vesnina to produce the goods when it mattered, winning it 7-5 to take the match.

In stark contrast, British qualifier Konta put on what Judy Murray described as her "best ever performance" to defeat America wildcard Louisa Chirico brilliantly, winning 6-3 6-0 in a dominant performance. The 24-year-old will face ninth seed and 2015 Wimbledon finalist Muguruza in round two.

Americans endure a similarly varied day

Like the Brits, the Americans on show at Flushing Meadows had a mixed day on Tuesday as well, with three of the seven in action emerging victorious.

Two of these seven played each other, with qualifier Shelby Rogers facing wildcard Sachia Vickery in the bottom section of the draw. It was the former who emerged victorious, rather comfortably too, taking the match 6-2 6-2 with relative ease.

Joining Rogers in the second round are Nicole Gibbs, the wildcard defeating Spaniard Lourdes Dominguez Lino in three sets, and Varvara Lepchenko, who was even more convincing than her two victorious compatriots in a 6-1 6-1 win.

Crashing out with Vickery, however, were Loeb and Chirico, who were defeated by Wozniacki and Konta, respectively, as aforementioned; and Christina McHale, who fell in three sets to Petra Cetkovska, despite taking the first.

All three remaining Americans face tough tests in round two - the toughest falling to Gibbs, who plays fifth seed Kvitova. Her two compatriots, on the other hand, face players who caused upsets in round one, with Lepchenko clashing with Safarova's conqueror, Tsurenko, and Rogers set to play Nara, who beat Cornet.

Tough day for the qualifiers

Though the likes of Rogers and Konta made it through on day two, the majority of qualifiers struggled, with only four present in the second round.

Jelena Ostapenko made it through, the Latvian overcoming Annika Beck to set up a meeting with 16th seed Errani, whilst Kateryna Bondarenko will play Halep after beating Yulia Putintseva.

However, as well as Siegemund, Hibi and Sasnovich, who were all eliminated by seeds, three more qualifiers crashed out in the bottom half, in much more winnable encounters too.

Tereza Mrdeža was one of these, the Croatian falling 6-2 6-2 to Evgeniya Rodina, whilst, in the same section, Alexandra Panova fell to Monica Niculescu in three sets. Maria Sakkari was the sixth and final qualifer to be eliminated on Tuesday, the Greek falling at the hands of Wang Qiang in straight sets.

Round three now throws up some interesting matches

These results have set up some intriguing clashes for round three, with one of the most eye-catching being that which sees Konta play Muguruza.

Karin Knapp, currently ranked 33rd, her career best, will present a tough task for 11th seed Kerber though, whilst another Italian sitting at her all-time highest in the rankings, Camila Giorgi, will be a good challenge for Lisicki.