CONSIDERATION OF THERMAL EFFECTS IN NONLINEAR
BIDIMENSIONAL SOLIDS
Positional Finite Element Method, thermomechanical behavior,
bidimensional solids.
This paper aims to study the thermomechanical behavior in bidimensional solids, taking
into account the physical and geometric nonlinear effects. To consider the thermal
effects, a formulation based on the first and second laws of thermodynamic and the
Helmholtz free-energy is presented here. It is essential to analyze the thermoelastic and
thermoplastic behavior in dynamic structural response. The Finite Element Method
based on nodal positions, instead nodal displacements, is employed as geometric
nonlinear formulation. For dynamic problems, a temporal discretization by several
temporal integration algorithms conduces to the equation of motion solution. In
addition, this formulation can be extended to impact problems. Therefore, the
development of computational routines for the proposed formulation induces numerical
results are compared with examples from the specialized literature.