Advances in Engineering Advances in Engineering features breaking research judged by Advances in Engineering advisory team to be of key importance in the Engineering field. Papers are selected from over 10,000 published each week from most peer reviewed journals.
Markus Hütter and Bob Svendsen
Continuum Mechanics and Thermodynamics, Volume 24, Number 3, 2012
Abstract
Thermodynamic models for viscoplastic solids are often formulated in the context of continuum thermodynamics and the dissipation principle. The purpose of the current work is to show that models for such material behavior can also be formulated in the form of a General Equation for Non-Equilibrium Reversible–Irreversible Coupling (GENERIC), see, e.g., Grmela and Öttinger (Phys Rev E, 56:6620–6632,1997), Öttinger and Grmela (Phys Rev E, 56:6633–6655, 1997), Grmela (J Non-Newtonian Fluid Mech, 165:980–986, 2010). A GENERIC combines Hamiltonian-dynamics-based modeling of time-reversible processes with Onsager–Casimir-based modeling of time-irreversible processes. The result is a model for the approach of non-equilibrium systems to thermodynamic equilibrium. Originally developed to model complex fluids, it has recently been applied to anisotropic inelastic solids in Eulerian (Hütter and Tervoort, in J Non-Newtonian Fluid Mech, 152:45–52, 2008; Hütter and Tervoort, in J Non-Newtonian Fluid Mech, 152:53–65, 2008; Hütter and Tervoort, in Adv Appl Mech, 42:254–317, 2008) and Lagrangian (Hütter and Svendsen, in J Elast 104:357–368, 2011) settings, as well as to damage mechanics. For simplicity, attention is focused in the current work on the case of thermoelastic viscoplasticity. Central to this formulation is a GENERIC-based form for the viscoplastic flow rule. A detailed comparison with the formulation based on continuum thermodynamics and the dissipation principle is given.
Additional Information:
The research of the Polymer Technology group (http://www.mate.tue.nl/mate/), headed by Prof.dr.ir. H. E. H. Meijer, is aimed at bridging the gap between science and technology in the area of polymer processing and design, through the use of experimental and computational tools in the modeling of the full thermo-mechanical history of material (elements) during their formation, processing and final design, to quantitatively predict properties of processed objects. The research interests of Markus Hütter focus on structure- property relations, specificially to describe the elasto-viscoplasticity of solids. To that end, nonequilibrium thermodynamics, multiscalemodeling, and coarse graining are employed.
Research activities of the Material Mechanics Group at the RWTH Aachen focuses on the development of models for the spatio-temporal multiscale material behavior of (primarily metallic) solids using methods from equilibrium and non-equilibrium statistical and continuum thermodynamics. More information can be found at http://www.cmm.rwth-aachen.de.
Go to Journal
