On the Stiffness of the Tangent Modulus Tensor in Elastoplasticity

    Authors

    D. W. Nicholson;T. W. Silvers

    Comments

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    Abbreviated Journal Title

    J. Press. Vessel Technol.-Trans. ASME

    Keywords

    plasticity; finite element analysis; tangent modulus; stiffness; eigenvalues; computational path; PLASTICITY; Engineering, Mechanical

    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. [DOI: 10.1115/1.4004619]

    Journal Title

    Journal of Pressure Vessel Technology-Transactions of the Asme

    Volume

    133

    Issue/Number

    6

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    7

    WOS Identifier

    WOS:000296656800008

    ISSN

    0094-9930

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