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Volumn 58, Issue 1, 2007, Pages 121-136

On the frame invariance of linear elasticity theory

Author keywords

Invariance; Linear elasticity; Tensor transformations

Indexed keywords


EID: 33845747808     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-006-6047-x     Document Type: Article
Times cited : (14)

References (15)
  • 1
    • 0018292795 scopus 로고
    • On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids
    • R. L. Fosdick and J. Serrin, On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. J, Elasticity 9 (1979), 83-99.
    • (1979) J, Elasticity , vol.9 , pp. 83-99
    • Fosdick, R.L.1    Serrin, J.2
  • 2
    • 33845775175 scopus 로고
    • Objective constitutive relations in elasticity and viscoelasticity
    • F. Bampi and A. Morro, Objective constitutive relations in elasticity and viscoelasticity. Meccanica 17 (1982), 138-142.
    • (1982) Meccanica , vol.17 , pp. 138-142
    • Bampi, F.1    Morro, A.2
  • 3
    • 0023209708 scopus 로고
    • The Piola stress may depend linearly on the deformation gradient
    • P. Podio-Guidugli, The Piola stress may depend linearly on the deformation gradient. J. Elasticity 17 (1987), 183-187.
    • (1987) J. Elasticity , vol.17 , pp. 183-187
    • Podio-Guidugli, P.1
  • 4
    • 0019712158 scopus 로고
    • An invariant infinitesimal theory of motions superposed on a given motion
    • J. Casey and P. M. Naghdi, An invariant infinitesimal theory of motions superposed on a given motion. Archive for Rational Mechanics and Analysis 76 (1981), 355-391.
    • (1981) Archive for Rational Mechanics and Analysis , vol.76 , pp. 355-391
    • Casey, J.1    Naghdi, P.M.2
  • 5
    • 0021788212 scopus 로고
    • Physically nonlinear and related approximate theories of elasticity, and their invariance properties
    • J. Casey and P. M. Naghdi, Physically nonlinear and related approximate theories of elasticity, and their invariance properties. Archive for Rational Mechanics and Analysis 88 (1985), 59-82.
    • (1985) Archive for Rational Mechanics and Analysis , vol.88 , pp. 59-82
    • Casey, J.1    Naghdi, P.M.2
  • 7
    • 0347780440 scopus 로고    scopus 로고
    • The application of tensor algebra on manifolds to nonlinear continuum mechanics
    • H. Stumpf and U. Hoppe, The application of tensor algebra on manifolds to nonlinear continuum mechanics. Z. angew. Math. Mech. (ZAMM) 5 (1997), 327-339.
    • (1997) Z. Angew. Math. Mech. (ZAMM) , vol.5 , pp. 327-339
    • Stumpf, H.1    Hoppe, U.2
  • 12
    • 0034965637 scopus 로고    scopus 로고
    • On objectivity and material symmetry for simple elastic solids
    • A. I. Murdoch, On objectivity and material symmetry for simple elastic solids. J. Elasticity 60 (2000), 233-242.
    • (2000) J. Elasticity , vol.60 , pp. 233-242
    • Murdoch, A.I.1
  • 13
    • 0038345303 scopus 로고    scopus 로고
    • Objectivity in classical continuum physics: A rationale for discarding the 'principle of invariance under superposed rigid body motions' in favour of purely objective considerations
    • A. I. Murdoch, Objectivity in classical continuum physics: a rationale for discarding the 'principle of invariance under superposed rigid body motions' in favour of purely objective considerations. Continuum Mech. Thermodyn. 15 (2003), 309-320.
    • (2003) Continuum Mech. Thermodyn. , vol.15
    • Murdoch, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.