RT Dissertation/Thesis
T1 Modelling and Mathematical Analysis in Thermomechanics
A1 Naya Riveiro, María Cristina
K1 modelling
K1 mathematical analysis
K1 thermoelasticity
K1 viscosity
K1 memory effect
AB The aim of this dissertation thesis is the study of certain nonlinear coupled thermomechanical problems in solid mechanics, arising from real processes subjected to a strong raise in temperature, such as building fires or material processing. Pursuing this goal, this manuscript is divided in three parts with the common topic of modelling and mathematical analysis in thermomechanics. In the first part, the equations of a coupled thermomechanical model for thermoviscoelastic materials with long memory and strongly dependent temperature stresses are derived. These equations can be used to model, for instance, the solidification process during an aluminium casting. The second and third parts follow a similar structure, devoted to the study of existence, uniqueness and regularity of solution in two different submodels. For the first problem, the mechanical submodel with mixed displacement--traction boundary conditions and temperature dependent coefficients is analyzed, assuming that the temperature is known. Mechanical deformations suffered by an alloy structure exposed to fire can be modelled under this scenario. A fully coupled thermoelastic problem with mixed displacement--traction boundary conditions in the mechanical submodel is the second case under study, considering also mixed boundary conditions including a Robin type one for the thermal submodel. This is the adequate setting for studying thermoelastic deformations of a structure exposed to fire.
YR 2013
FD 2013-01-23
LK http://hdl.handle.net/10347/7115
UL http://hdl.handle.net/10347/7115
LA eng
DS Minerva
RD 28 abr 2026