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Volumn 90, Issue 1, 2008, Pages 1-18

Physically based invariants for nonlinear elastic orthotropic solids

Author keywords

Elasticity; Invariants; Nonlinear; Orthotropic

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR SYSTEMS; STRAIN ENERGY;

EID: 36549061578     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-007-9119-z     Document Type: Article
Times cited : (23)

References (10)
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    • Debotton, G.1    Hariton, I.2    Socolsky, E.A.3
  • 2
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    • An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity
    • Criscione, J.C., Humphrey, J.D., Douglas, A.S., Hunter, W.C.: An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity. J. Mech. Phys. Solids 48, 2445-2465 (2000)
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 2445-2465
    • Criscione, J.C.1    Humphrey, J.D.2    Douglas, A.S.3    Hunter, W.C.4
  • 3
    • 0001289732 scopus 로고    scopus 로고
    • Physically based strain invariant set for materials exhibiting transversely isotropic behavior
    • Criscione, J.C., Douglas, A.S., Hunter, W.C.: Physically based strain invariant set for materials exhibiting transversely isotropic behavior. J. Mech. Phys. Solids 49, 871-897 (2001)
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 871-897
    • Criscione, J.C.1    Douglas, A.S.2    Hunter, W.C.3
  • 4
    • 0344982875 scopus 로고    scopus 로고
    • Kinematics and elasticity framework for materials with two fiber families
    • Criscione, J.C., Hunter, W.C.:. Kinematics and elasticity framework for materials with two fiber families. Contin. Mech. Thermodyn. 15, 613-628 (2003)
    • (2003) Contin. Mech. Thermodyn. , vol.15 , pp. 613-628
    • Criscione, J.C.1    Hunter, W.C.2
  • 5
    • 0001043806 scopus 로고
    • Large elastic deformations of homogeneous anisotropic materials
    • Ericksen, J.L., Rivlin, R.S.: Large elastic deformations of homogeneous anisotropic materials. Arch. Ration. Mech. Anal. 3, 281-301 (1954)
    • (1954) Arch. Ration. Mech. Anal. , vol.3 , pp. 281-301
    • Ericksen, J.L.1    Rivlin, R.S.2
  • 6
    • 0006280110 scopus 로고
    • Thermodynamic relations for high elastic materials
    • Flory, P.: Thermodynamic relations for high elastic materials. Trans. Faraday Soc. 57, 829-838 (1961)
    • (1961) Trans. Faraday Soc. , vol.57 , pp. 829-838
    • Flory, P.1
  • 8
    • 0023843480 scopus 로고
    • The significance of pure measures of distortion in nonlinear elasticity with reference to the Poynting problem
    • Rubin, M.B.: The significance of pure measures of distortion in nonlinear elasticity with reference to the Poynting problem. J. Elast. 20, 53-64 (1988)
    • (1988) J. Elast. , vol.20 , pp. 53-64
    • Rubin, M.B.1
  • 9
    • 46549096707 scopus 로고
    • Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
    • Simo, J.C., Taylor, R.L., Pister, K.S.: Variational and projection methods for the volume constraint in finite deformation elasto-plasticity. Comput. Methods Appl. Mech. Eng. 51, 177-208 (1985)
    • (1985) Comput. Methods Appl. Mech. Eng. , vol.51 , pp. 177-208
    • Simo, J.C.1    Taylor, R.L.2    Pister, K.S.3
  • 10
    • 85025220892 scopus 로고
    • Theory of representations for tensor functions - A unified invariant approach to constitutive equations
    • Zheng, Q.-S.: Theory of representations for tensor functions - A unified invariant approach to constitutive equations. Appl. Mech. Rev. 47, 545-587 (1994)
    • (1994) Appl. Mech. Rev. , vol.47 , pp. 545-587
    • Zheng, Q.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.