Closed form elastic‐plastic stiffness matrix for axisymmetric finite elements
作者:
T. P. Rich,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1978)
卷期:
Volume 12,
issue 1
页码: 59-65
ISSN:0029-5981
年代: 1978
DOI:10.1002/nme.1620120106
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractThis note presents the closed form equations for the stiffness terms in the elastic‐plastic stiffness matrix for axisymmetric finite elements. The element considered is a triangular ring element characterized by linear displacement relationships and an averaged state of stress. The physical law is modelled by the incremental theory of plasticity utilizing the Prandtl‐Reuss flow rule and von‐Mises Yield Criterion. Results are presented comparing stiffness terms as computed by numerical integration to those computed from the closed form equations. Significant errors in stiffness terms arising from numerical integration are observed for axisymmetric elements located near the line of axial symmetry as a result of the logarithmic nature of some of the stiffness
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