The abovc model allows to develop the deformation analysis but it is necessary to link to the
above model the equation of motion, out of which the local stress can be computed. This is
a classical topic of thermoelasticity which is dealt with in Chapter V of fundamental book by
Nowacky [17], while the relations between deformation and stress are reported in Chapter I of the
same reference. An additional useful reference is the paper [18], which provides a brief anMysis
precisely of the problem we are dealing with. Specifically the equations of motions coupled with
the equation of heat diffusion are reported in the second section of [18]. The equations hold true
in the case of materials with linear behavior in the case of deformations related to strain and
stress.
Indeed, this matter is well understood in tile linear case for materials in unbounded domains.
Unfortunately this is not the case of the complex system we are dealing with which is subject
to large deformation. Therefore a mixed type problem can be suggested, that is using the heat
model for the temperature and experimental information for the deformation.