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A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity 被引量:1

A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity
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摘要 This study is concerned with a new,explicit approach by means of which forms of the large strain elastic potential for multiaxial rubberlike elasticity may be obtained based on data for a single deformation mode.As a departure from usual studies,here for the first time errors may be estimated and rendered minimal for all possible deformation modes and,furthermore,failure behavior may be incorporated.Numerical examples presented are in accurate agreement with Treloar's well-known data. This study is concerned with a new,explicit approach by means of which forms of the large strain elastic potential for multiaxial rubberlike elasticity may be obtained based on data for a single deformation mode.As a departure from usual studies,here for the first time errors may be estimated and rendered minimal for all possible deformation modes and,furthermore,failure behavior may be incorporated.Numerical examples presented are in accurate agreement with Treloar's well-known data.
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2015年第5期637-646,共10页 力学学报(英文版)
基金 the support of the start-up fund from the Education Committee of China through Shanghai University(Grant S.15-B002-09-032) the fund for research innovation from Shanghai University(Grants S.10-0401-12-001) the fund from Natural Science Foundation of China(Grants 11372172,11472164)
关键词 Rubberlike elasticity Large deformations Elastic potential Explicit approach Minimized errors Rubberlike elasticity Large deformations Elastic potential Explicit approach Minimized errors
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  • 8Vanden Bogert,P.A.J. and De Borst,R., On the behaviour of rubberlike materials in compression and shear. Archive of Applied Mechanics, 1994, 64(2): 136-146.
  • 9Charlton,D.J., Yang,J. and Teh,K.K., A review of methods to characterize rubber elastic behavior for use in finite element analysis. Rubber Chemistry and Technology, 1994, 67(3): 481-503.
  • 10Criscione,J.C., Humphrey, J.D. and Douglas,A.S., et al. An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity. Journal of the Mechanics and Physics of Solids, 2000, 48(12): 2445-2465.

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