SERBIA

Abstract:- In the present paper it will be shown how dimensional reduction theories can drastically deteriorate the place and intensity of maximal stress results, which can lead to the premature structure failure. In addition, bridging of continuum (finite element) and atomistic (molecular dynamics) mechanics is more accurate if continuum approach is based on reliable fully three-dimensional numerical approach, mainly because it prevail spurious results and enable extension of the continuum region deep toward the atomistic scale. It is primarily because in reliable finite element approaches we can benefit from robust finite element behavior in which aspect ratio of finite element can be drastically increased and near incompressibility can be traced without suffering from locking effects. Keeping in mind that dimensional reduction approaches are traditionally established only because of the faster and easier hand-out and early computer calculations of the mechanical systems, the goal of the present paper is to prove that it is possible to develop numerical procedure which is both, based on the full multifield mixed theories and time efficient, and also reliable throughout the scales. Presently, the reliable primal-mixed finite element approach in semi coupled thermo-mechanical analysis is used for comparison. Key-Words: – solid mechanics, dimensional reduction, finite element, multiscale, geometric invariance, incompressible limit, residual stresse