The volume contains the proceedings of the international conference New Trends in Continuum Mechanics, held at Constanta, Romania between September 8-12, 2003. The conference was devoted to all domains of continuum mechanics; it also included a minisymposium on homogenization and its applications and a section devoted to numerical methods. The volume contains thirty-seven refereed papers; among the subjects covered, are: theoretical and laboratory modelling, mathematical modelling in biology, oil recovery, contact problems with friction, studies on different materials, non-Newtonian fluids, electrorheological and magnetorheological fluids, thermo-mechanical and electro-mechanical problems in solids.

A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS.

Readership

Graduate students and research mathematicians interested in continuum mechanics

Table of Contents

• L. Badea -- One and two-level multiplicative Schwarz methods for the constrained minimization of non-quadratic convex functionals
• N. Bontcheva and B. Petzov -- Phase transformation during metal forming processes
• A. Capatina and F. Lebon -- Remarks on the equiliibrium finite element method for frictional contact problems
• A. Carabineanu -- The study of the self-propulsion of an oscillatory wing by the integral equations method
• Q. Chang and W. Sun -- On convergence of the multigrid method for nonnegative definite systems
• Y. D. Chashechkin -- Mathematical and laboratory modelling of stratified flows
• D. Cioranescu, A. Damlaminan, and G. Griso -- The Stokes problem in perforated domains by the periodic unfolding method
• S. Cleja-Tigoiu -- Material symmetry in finite elasto-plasticity with continuum distributed dislocations
• M. Cocou and G. Scarella -- A dynamic unilateral contact problem for a cracked viscoelastic body
• C. Conca, J. I. Diaz, A. Linan, and C. Timofte -- Homogenization results for chemical reactive flows through porous media
• E. M. Craciun -- Stress in prestressed fiber reinforced composite containing two colinear cracks supposed to be under anti-plane shear loadings
• N. D. Cristescu -- Theory of falling cylinder viscometers
• A. Dumitrache -- An interactive computing method for stall flutter analysis
• C. Faciu and M. Mihăilescu-Suliciu -- Shape memory effect: A Maxwellian rate type constitutive approach
• C. Grandmont, Y. Maday, and B. Maury -- A multiscale/multimodel approach of the respiration tree
• D. Jiroveanu and J. Soler -- Numerical modeling of a bubble breakup behavior in homogeneous and isotropic turbulence
• V. Marina -- Reading the possibilities to decode the microstructure characteristics from macroexperience
• G. Marinoschi -- On a nonlinear boundary value problem of infiltration in unsaturated media
• B. Matei -- Nonlinear multiscales representations for homogenization problems: A case study
• M. Negreanu -- Discrete inequalities
• G. Pasa -- Secondary oil recovery and variable permeability
• E. Perez -- Correcting terms from local problems for vibrating systems with concentrated masses
• K. Piechor -- On the hydrodynamic limit of the Enskog equation with weak square-well potential
• D. Polisevski and R. Schiltz-Bunoiu -- Heat conduction through a first-order jump interface
• M. Popescu -- On the optimal control of bilinear systems
• R. Raducanu -- On the mortar finite element method in linear elasticity
• S. Sburlan and C. Sburlan -- A coincidence degree for bifurcation problems with applications in mechanics of continua
• N. Simion -- Models of heat propagation in solid bodies
• O. Simionescu-Panait -- Propagation of attenuated waves in isotropic solids subject to initial electro-mechanical fields
• D. Socolescu -- On the Leray problems for the stationary and non-stationary Navier-Stokes equations
• R. Stavre -- Boundary control of a non-stationary magnetohydrodynamic flow
• P. P. Teodorescu, T. Badea, L. Munteanu, and J. Onisoru -- On the wave propatagion in materials with negative stiffness components
• P. P. Teodorescu, L. Munteanu, and V. Chiroiu -- On the wave propagation in a chiral medium
• V. Tigoiu and C. Cipu -- Flow of some viscoelastic fluids in a falling cylinder viscometer and the evaluation of shear viscosity
• A. Ursescu -- Influence of the electrode ends on the channel flow of electrorheological fluids
• A. Ursescu and C. Dascalu -- Thermally conductive elliptic hole in an anisotropic solid
• C. Vallee, C. Lerintiu, D. Fortune, M. Ban, and G. de Saxce -- Hill's bipotential