In this paper, we study the mechanical behaviour of multicellular aggregates using the notion of multiple natural configurations. In particular, we extend the elasto-visco-plastic model proposed in Preziosi et al. (2010, An elasto-visco-plastic model of cell aggregates. J. Theor. Biol., 262, 35-47) taking into account the liquid constituent present in cellular spheroids. Aggregates are treated ...

thermo-elasto-plastic analyses of thick-walled spherical tanks made of functionally graded materials are investigated analytically. these tanks are subjected to positive or negative temperature gradient and internal pressure loadings separately or simultaneously. the power law modeling has been used for through-the-thickness variation of mechanical properties. von mises yield criterion and elas...

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 ...

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...