Title
On The Stiffness Of The Tangent Modulus Tensor In Elastoplasticity
Keywords
computational path; eigenvalues; finite element analysis; plasticity; stiffness; tangent modulus
Abstract
In finite element analysis of pressure vessels undergoing elastoplastic deformation, low stiffness of the tangent modulus tensor will engender low stiffness in the tangent stiffness matrix, posing a risk of computational difficulties such as poor convergence. The current investigation presents the explicit tangent modulus tensor in an elastoplastic model based on a Von Mises yield surface with isotropic work hardening, and the associated flow rule. The stiffness of the tangent modulus tensor is assessed by deriving explicit expressions for its minimum eigenvalue using both tensor diagonalization and Rayleigh quotient minimization. The derived expressions are validated computationally. Using the minimum eigenvalue, the stiffness is found to depend on the current path in stress space. The results of the current investigation suggest a way of following a stress path, which bypasses low stiffness, while attaining the prescribed load. © 2011 American Society of Mechanical Engineers.
Publication Date
11-9-2011
Publication Title
Journal of Pressure Vessel Technology, Transactions of the ASME
Volume
133
Issue
6
Number of Pages
-
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1115/1.4004619
Copyright Status
Unknown
Socpus ID
80455144718 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/80455144718
STARS Citation
Nicholson, David W. and Silvers, Thomas W., "On The Stiffness Of The Tangent Modulus Tensor In Elastoplasticity" (2011). Scopus Export 2010-2014. 1942.
https://stars.library.ucf.edu/scopus2010/1942