Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems Taras V. Gerya a,∗, David A. Yuen b a Geophysical Fluid Dynamics Group, Institute of Geophysics, Department of Geosciences, Swiss Federal Institute of Technology (ETH-Zurich), CH-8093 Zurich, Switzerland b Department of Geology and Geophysics and Minnesota Supercomputing Institute, University ...

© 2012 Hu and Wereley, licensee InTech. This is an open access chapter distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Anelastic Behavior in Filled Elastomers Under Harmonic Loading Using Distributed Rat...

We use considerations of energy balance and dissipation to derive a self-consistent version of the shear-transformation-zone (STZ) theory of plastic deformation in amorphous solids. The theory is generalized to include arbitrary spatial orientations of STZs. Continuum equations for elasto-plastic material and their energy balance properties are discussed.

We consider the variational inequality, which describes the torsion problem for a long elasto-plastic bar. Using duality methods of the variational calculus, we derive a posteriori estimates of functional type that provide computable and guaranteed upper bounds of the energy norm of the difference between the exact solution and any function from the corresponding energy space that satisfies the...

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S U M M A R Y Many unresolved questions in geodynamics revolve around the physical behaviour of the two-phase system of a silicate melt percolating through and interacting with a tectonically deforming host rock. Well-accepted equations exist to describe the physics of such systems and several previous studies have successfully implemented various forms of these equations in numerical models. T...

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