Multiaxial ratcheting with advanced kinematic and directional distortional hardening rules

Efficient implicit integration for finite-strain viscoplasticity with a nested multiplicative split

“…(30) Here, ε is a suitable scalar and P is a suitable second-rank tensor. 8 The scalar ε is determined such that det( n+1 C i ) = 1. In some publications, the authors suggest the correction of diagonal terms in n+1 C i to enforce the incompressibility.…”

Efficient time stepping for the multiplicative Maxwell fluid including the Mooney‐Rivlin hyperelasticity

“…Plasticity models with a nonlinear kinematic hardening may operate with backstresses; the evolution of the backstresses can be described using the Maxwell element as well. [15][16][17][18][19] A generalization of this approach to plasticity with the yield surface distortion is reported in other works. 20,21 Some advanced models of shape memory alloys 22,23 and anisotropic creep 24 include the Maxwell fluid as an important constituent.…”

Numerical and experimental study of an interference fitted joint using a large deformation Chaboche type combined isotropic–kinematic hardening law and mortar contact method

“…Ratcheting has been observed in many materials experiencing a non-symmetrical uniaxial cyclic stress loading in early literatures [15,16], ratcheting also can be seen in multi-axial cases and in the presence of a symmetrical cyclic loading in one direction and a pre-stress in other direction [17]. By considering the fact that ratcheting is the accumulation of plastic strain during each cyclic loading, an accurate modeling of this behavior for long-range cycles is very difficult due to the accumulation of small systematic errors in each cycle and forming a large error [18]. Accuracy in description of ratcheting behavior of materials is still an open issue in cyclic plasticity and kinematic hardening context.…”

“…Bari and Hassan [24] and Chen and Jiao [25] modified Chaboche and Ohno-Wang model respectively by introducing new delta parameter to predict better multi-axial ratcheting. Many other models have been proposed in last decade which predict the ratcheting more accurately [18,[26][27][28][29] but the need for lots of parameters, sometimes more than 30 parameters [26] which itself is an engineering issue, is the drawback of these models. Even though so many models have been proposed for cyclic plasticity, which can describe the Bauschinger effect, most of them are applicable only in small strain theory and the extension of the models to large strain theory is not straightforward.…”