The application relates to a stable node integral calculation method for explicitly analyzing
metal volume forming, which comprises the following steps: dividing a
problem domain into a triangular or tetrahedral grid, and dividing a grid integral domain into a plurality of non-overlapping node integral domains based on nodes in the triangular or tetrahedral grid; performing node domain
smoothing on the node integral domain based on triangular / tetrahedral strain components of the nodes, to obtain a smoothed domain; constructing an
hourglass control between the nodes and adjacent nodes in the smoothed domain, and calculating
hourglass forces between the nodes and the adjacent nodes; performing node integration on the nodes based on stress and deformation gradients of the nodes calculated by attributes of the nodes, to obtain original
internal forces of the nodes; superimposing the
hourglass forces borne by the nodes and the original
internal forces of the nodes, to obtain
internal forces of the stable node
integral method; and solving discrete motion equations in explicit dynamics based on the internal forces of the stable node
integral method, to obtain a dynamic response.