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

Socpus ID

80455144718 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/80455144718

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