Press forming apparatus and production method of press formed product

A production method of a press formed product, comprising:

• clamping a blank between a die and a blank holder;
• and
• pushing the blank by a punch in a press direction, wherein
• the punch includes a punch top surface intersecting with the press direction, a punch shoulder continuing to the punch top surface, a punch side surface continuing to the punch shoulder and connected to the punch top surface via the punch shoulder,
• the punch shoulder includes a first curved portion that is concavely curved inward of the punch when viewed from a side of the punch side surface,
• the blank holder is positioned next to the first curved portion when viewed from the press direction,
• the blank holder includes a holder top surface intersecting with the press direction, a holder shoulder continuing to the holder top surface on a side of the first curved portion and including a second curved portion corresponding to the first curved portion, and a holder side surface continuing to the holder shoulder and connected to the holder top surface via the holder shoulder,
• the die is positioned next to the first curved portion when viewed from the press direction,
• the die includes a pressing surface facing the holder top surface, a die shoulder continuing to the pressing surface on a side of the first curved portion and including a third curved portion corresponding to the first curved portion, and a die side surface continuing to the die shoulder and connected to the pressing surface via the die shoulder, and
• when viewed from the press direction, at least one of the pressing surface and the holder top surface is shorter than the punch shoulder in terms of a length along an extending direction of the punch shoulder.