A novel deformation method for fast simulation of biological tissue formed by fibers and fluid

► Quasi-static solution for elastic deformations of soft tissues with fluid and fibers. ► The behavior similar to the stress tensor is obtained by the volume conservation. ► Comparison show similarities between the simulated deformations and ex vivo bovine liver. ► Suited to isotropic or anisotropic elasticity and linear or nonlinear stress-strain relationship. ► Deformations were shown to be independent of the mesh discretization.