The stress relaxation under large step equibiaxial elongation for low-density polyethylene with long-chain branches revealed that the time-strain separability holds in relaxation modulus G(B)(t, epsilon(B)), and damping function h(B)(epsilon(B)) exhibits weaker equibiaxial elongational strain epsilon(B) dependence than that predicted by the Doi-Edwards theory without the independent alignment approximation. Dependencies of damping function h(gamma) for step shear deformation and h(B)(epsilon(B)) on stretch ratio alpha of polymer contour length and orientation of a polymer chain in direction of the maximum orientation were evaluated, and it was found that the alpha dependencies of h(gamma) and h(B)(epsilon(B)) are different, whereas dependencies of h(gamma) and h(B)(epsilon(B)) on the orientation coincide fairly well. These results indicate that the damping is dominated by the chain orientation rather than a. This implies that withdrawal of long-chain branches into tube of a backbone chain occurs when the orientation of the long-chain branches is large and friction force against the branch point withdrawal is small. (C) 2009 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 47: 1275-1284, 2009