• Title/Summary/Keyword: Blatz-Ko model

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A general convergence condition of the Newton-Raphson algorithm applied to compressible hyperelasticity

  • Peyraut, Francois;Feng, Zhi-Qiang;Labed, Nadia
    • Structural Engineering and Mechanics
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    • v.21 no.2
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    • pp.121-136
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    • 2005
  • This paper presents the implementation of the Blatz-Ko hyperelastic compressible model in a finite element program to deal with large deformation problems. We show analytically and numerically that the minimum number of increment steps in the Newton-Raphson algorithm depends on material properties and applied loads. We also show that this dependence is related to the orientation preservation principle. So we propose a convergence criteria based on the sign of eigenvalues of the deformation gradient matrix.

Determination of Shock Absorption Performance and Shear Modulus of Rubbers by Drop Impact Test (낙하충격실험을 통한 고무의 충격흡수성능과 전단계수 평가)

  • Kang, Dong-Hwan;Seo, Mu-Yeol;Gimm, Hak-In;Kim, Tae-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.4
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    • pp.321-328
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    • 2009
  • Shock absorption performances of various rubbers were investigated by using drop impact test. Several types of rubber such as NR, NBR, EPDM, SR and PUR with three respective levels of shore hardness were used for the test. As in the cases, the absorbed impact energies in rubbers were measured under seven different loads against impact energy between 5-80J. The impact absorption efficiencies of the rubbers then were evaluated by means of both single impact energy condition and summation of all impact energy applied condition. As shown in the results, PUR and EPDM have better shock absorption performances than other rubbers. Further analysis was extended to determine a shear modulus of SR through the finite element implementation with Blatz-Ko model. As can be seen, relatively higher level of absorption energy results in a decreasing shear modulus.