An algorithm based on total-elastic–incremental-plastic strain for large deformation plasticity

On some computational aspects for incremental sheet metal forming simulations

“…Contrary to the flow rule method, it does not take into account the normal to the yield surface but only the strain tensor to obtain the stress state [7]. The advantage of this method is that no iteration is necessary and the CPU time should be reduced.…”

An analysis of springback in sheet metal bending using finite element method (FEM)

“…Ramakrishnan et al [12] presented a constitutive relation for numerical simulation of finite strain elasto-plastic deformation. The constitutive relation, which is based on additive decomposition of velocity strains into elastic and plastic components, relates Cauchy stress to the Total-Elastic-Incremental-Plastic Strain, and is derived assuming J 2 plasticity.…”

“…The consistency aspect associated with the uniaxial equivalent of the triaxial state of stress has been properly taken into account. The variational finite element formulation and the other details of numerical implementation along with complete description of TEIP algorithm is presented in [12]. TEIP algorithm directly incorporates the material rotation in the constitutive equation without any trigonometric approximation as done in Jaumann rate type of methods [14] and this allows large rotation to be simulated with high accuracy.…”

“…In this investigation, the FEA of the bending process was performed using an in-house finite element code (RRL-FEM) capable of handling large deformation [12,13]. The constitutive relation used in the code is based on a TotalElastic-Incremental-Plastic Strain (TEIP) based algorithm.…”

“…The constitutive relation used in the code is based on a TotalElastic-Incremental-Plastic Strain (TEIP) based algorithm. The constitutive framework as well as the validity of the code have been described elsewhere [12]. The TEIP algorithm is specially capable of handling the elastic unloading accurately.…”