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Multimaterial Eulerian finite element formulation for pressure‐sensitive adhesives
Author(s) -
Nishiguchi Koji,
Okazawa Shigenobu,
Tsubokura Makoto
Publication year - 2018
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5790
Subject(s) - hyperelastic material , eulerian path , finite strain theory , finite element method , superposition principle , mechanics , strain energy density function , infinitesimal strain theory , viscoelasticity , deformation (meteorology) , materials science , classical mechanics , mathematical analysis , mathematics , physics , composite material , thermodynamics , lagrangian
Summary A temperature‐dependent visco‐hyperelastic formulation is proposed based on a Eulerian finite element method for large‐deformation and multimaterial problems, which is pertinent in the application to pressure‐sensitive adhesives. All the basic equations are computed in the Eulerian description because it allows arbitrarily large deformations. This formulation employs Simo's finite‐strain viscoelastic model, where hyperelasticity is modeled as a novel strain‐energy function of the left Cauchy‐Green deformation tensor. The left Cauchy‐Green deformation tensor is temporally updated from the Eulerian velocity field. Temperature dependence is described with the time‐temperature superposition principle. To validate the proposed approach, we simulated tests of uniaxial tension with various tensile speeds and temperature conditions and performed a steel‐ball‐drop test on an acrylic pressure‐sensitive adhesive.