Bipotential versus return mapping algorithms: Implementation of non associated flow rules

New implementation of a non-associated flow rule in rate-independent plasticity

One of the new research fields in plasticity is related to choosing a proper non-associated flow rule (NAFR), instead of the associated one (AFR), to predict the experimental results more accurately. The idea of the current research is derived from combining von Mises and Tresca criteria in the places of yield and plastic potential surfaces in rate-independent plasticity.  This idea is implemen...

Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms

Previous studies by the authors and their co-workers show that the structure of equations representing shape Memory Alloy (SMA) constitutive behaviour can be very similar to those of rate-independent plasticity models. For example, the Boyd–Lagoudas polynomial hardening model has a stress-elastic strain constitutive relation that includes the transformation strain as an internal state variable,...

new implementation of a non-associated flow rule in rate-independent plasticity

one of the new research fields in plasticity is related to choosing a proper non-associated flow rule (nafr), instead of the associated one (afr), to predict the experimental results more accurately. the idea of the current research is derived from combining von mises and tresca criteria in the places of yield and plastic potential surfaces in rate-independent plasticity.  this idea is implemen...

Can We Trust Numerical Collapse Load Simulations Using Non- associated Flow Rules?

ABSTRACT: Numerical simulations using continuum mechanics and elasto-plasticity are often used in geotechnical design. Determination of collapse loads may be part of such simulations. However, non-associated flow rules applied to frictional materials normally provide lower collapse loads than stated by classical methods. Should we stick to the classical solutions for design or should we rather ...

Implementation Rules