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High‐order time‐integration applied to p‐version finite elements within finite strain thermo‐viscoelasticity
Author(s) -
Hartmann Stefan,
Netz Torben
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310098
Subject(s) - viscoelasticity , finite element method , constitutive equation , finite strain theory , diagonal , order (exchange) , strain (injury) , mathematics , computer science , structural engineering , materials science , engineering , geometry , composite material , medicine , finance , economics
In this essay a fully coupled, monolithic thermo‐mechanical coupled simulation using high‐order finite elements based on hierarchical shape‐functions in combination with a high‐order time‐integration scheme using diagonally‐implicit Runge‐Kutta schemes is presented. The constitutive model is based on a finite strain thermo‐viscoelasticity relation of overstress‐type. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)