In:
International Journal for Numerical Methods in Engineering, Wiley, Vol. 115, No. 5 ( 2018-08-03), p. 549-577
Abstract:
The present contribution provides a new approach to the design of energy momentum consistent integration schemes in the field of nonlinear thermo‐elastodynamics. The method is inspired by the structure of polyconvex energy density functions and benefits from a tensor cross product that greatly simplifies the algebra. Furthermore, a temperature‐based weak form is used, which facilitates the design of a structure‐preserving time‐stepping scheme for coupled thermoelastic problems. This approach is motivated by the general equation for nonequilibrium reversible‐irreversible coupling (GENERIC) framework for open systems. In contrast to complex projection‐based discrete derivatives, a new form of an algorithmic stress formula is proposed. The spatial discretization relies on finite element interpolations for the displacements and the temperature. The superior performance of the proposed formulation is shown within representative quasi‐static and fully transient numerical examples.
Type of Medium:
Online Resource
ISSN:
0029-5981
,
1097-0207
Language:
English
Publisher:
Wiley
Publication Date:
2018
detail.hit.zdb_id:
241381-4
detail.hit.zdb_id:
1480873-0
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