The authors describe a theoretical model and kinematic approach suitable for the numerical analysis of problems at large deformation finite strains and rotations. The presented formulations are implemented incrementally with a non-linear and rate-dependent constitutive model, adequate to the simulation of high temperature processes. The large deformation kinematic model is based on the additive...

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. [1] We examine mantle melting, fractional crystallization, and melt extraction beneath fast slipping, segmented oce...

We extend the bridging Partially-Averaged Navier-Stokes (PANS) equations model to variable-density flow and develop a scale-dependent closure for complex flows. This includes $a$ $p\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}i$ testing guidelines efficient selection of parameters controlling resolution (range resolved sc...

There have been many attempts to derive continuum models for dense granular flow, but a general theory is still lacking. Here, we start with Mohr-Coulomb plasticity for quasi-two-dimensional granular materials to calculate (average) stresses and slip planes, but we propose a "stochastic flow rule" (SFR) to replace the principle of coaxiality in classical plasticity. The SFR takes into account t...

Rowe's stress–dilatancy relation for frictional (cohesion-less) materials has been a cornerstone of soil mechanics. The original derivation of this relationship was based on incorrect energy minimisation considerations, but the relationship was proven later by De Josselin de Jong using friction laws, and has been confirmed by a large body of experimental results. In contrast, the validity of Ro...

Direct numerical simulations are carried out to study the effect of finite Weissenberg number up $Wi=16$ on laminar and turbulent channel flows an elastoviscoplastic (EVP) fluid, at a fixed bulk Reynolds $2800$ . The incompressible flow equations coupled with evolution equation for EVP stress tensor by modified Saramito model that extends both Bingham viscoplastic extensible nonlinear elastic-P...