Use of the hyperelastic model for plastic materials by example of the three-bar truss | Zendy

V. V. Chekhov | Zendy

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Use of the hyperelastic model for plastic materials by example of the three-bar truss

Author(s) -

V. V. Chekhov

Publication year - 2020

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2020.24.11

Subject(s) - hyperelastic material , truss , plasticity , bar (unit) , compressibility , structural engineering , tension (geology) , deformation (meteorology) , materials science , mathematics , finite element method , mechanics , engineering , compression (physics) , physics , composite material , meteorology

Particular features and traits of a model of large deformations applied for static analysis and design of metal structures with plasticity are considered. Foundations of the deformation theory of plasticity relevant for incompressible materials are formally generalized for the model of hyperelastic body described by equation of state in the Finger form. The behavior of the model is analyzed for the case of uniaxial tension. The collected results are used to explore a symmetrical three-bar truss made of two materials. Relations describing behavior of the truss under conditions of the geometric and physical nonlinearities are obtained. Specifics arising in the analysis and design of the truss using standard structural alloys are analyzed.

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