Document Zbl 1528.74090

Temporal homogenization formula for viscoelastic-viscoplastic model subjected to local cyclic loading. (English) Zbl 1528.74090

Int. J. Numer. Methods Eng. 124, No. 4, 808-833 (2023).

Summary: In this study, a temporal homogenization formula was developed to predict the response fields (i.e., stress, strain, and displacement) of a viscoelastic-viscoplastic model under local cyclic loading. It is the first attempt to apply the temporal homogenization formula of constitutive equations with higher-order differential forms on the viscoelastic-viscoplastic model. The temporal homogenization formula is classified into two types: non-updated temporal homogenization formula and updated temporal homogenization formula. Initial boundary value problem was classified into the global initial boundary value problem and the local initial boundary value problem. To verify this method, two examples were used: (i) when a uniaxial cyclic load is applied to a one-dimensional bar and (ii) when a multiaxial cyclic load is applied to a three-dimensional bar. On comparing the accuracy of the non-updated and the updated temporal homogenization formula, it can be clearly seen that the updated temporal homogenization formula yielded more accurate results.
{© 2022 John Wiley & Sons Ltd.}

Cited in 1 Document

MSC:

74Q10	Homogenization and oscillations in dynamical problems of solid mechanics
74C05	Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74D99	Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
74K10	Rods (beams, columns, shafts, arches, rings, etc.)

Keywords:

non-updated/updated temporal homogenization formula; multiscale modeling; initial-boundary value problem; Norton power law; von Mises yield surface; kinematic hardening; uniaxial/multiaxial bar loading

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