ISSN:
0029-5981
Keywords:
finite deformation
;
thermo-elastoviscoplasticity
;
generalized standard materials
;
finite elements
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
Technological forming processes of thermo-elastoviscoplastic solids are numerically simulated via finite elements based on an appropriate theoretical framework. Departing from the local balance laws of linear momentum and internal energy, the constitutive behaviour is introduced via the concept of ‘generalized standard materials (gsm)’, where a thermodynamic potential and a dissipation potential are the only two scalar quantities needed. They are expressed in invariants of symmetric mixed-variant tensors, respectively. Then the dissipation term evolves from the thermodynamic potential in a very natural way as well as the evolution equations for the internal variables emanate from the dissipation potential. An Eulerian setting is used.The numerical solution (of the non-linear coupled thermomechanical problem) is carried out via ‘displacement and assumed enhanced displacement-gradient’-based finite ring-elements in an ‘isentropic’ mechanical phase and via ‘temperature’-based finite ring-elements in an isogeometrical thermal phase and a global Newton-Raphson iterative method in both phases, respectively. The coupled consistent tangent moduli are carefully derived. Numerical results of the thermally triggered necking of a circular bar and of the impact of a copper rod on a rigid wall are given. © 1998 John Wiley & Sons, Ltd.
Additional Material:
6 Ill.
Type of Medium:
Electronic Resource
