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Tangent constitutive matrices for inelastic finite element analysis

✍ Scribed by H. R. Riggs; G. H. Powell

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
591 KB
Volume
29
Category
Article
ISSN
0029-5981

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✦ Synopsis

A general formulation is presented for the tangent constitutive matrices of rate-independent material models which assume that the strain increment consists of two components. One component is related to the stress increment through a known constitutive matrix, while the other component results from deformation mechanisms not reflected in the constitutive matrix. The procedure to modify the known matrix for these additional strains is specified. The formulation is a generalization of the well-known procedure used in plasticity to modify the elastic constitutive matrix for plastic deformation. Application to both the classical and endochronic theories of plasticity and to a smeared crack theory is illustrated.

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The paper presents a general and straightforward procedure based on the use of the strain energy density for deriving symmetric expressions of the secant and tangent stiffness matrices for finite element analysis of geometrically non-linear structural problems. The analogy with previously proposed m