메뉴 건너뛰기




Volumn 52, Issue 4-5, 2000, Pages 489-509

Hencky's elasticity model with the logarithmic strain measure: A study on Poynting effect and stress response in torsion of tubes and rods

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000991815     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (40)

References (33)
  • 1
    • 0018446469 scopus 로고
    • On H. Hencky's approximate strain-energy function for moderate deformations
    • L. ANAND, On H. Hencky's approximate strain-energy function for moderate deformations, ASME J. Appl. Mech., 46, 78-82, 1979.
    • (1979) ASME J. Appl. Mech. , vol.46 , pp. 78-82
    • Anand, L.1
  • 2
    • 0022603482 scopus 로고
    • Moderate deformations in extension-torsion of incompressible isotropic elastic materials
    • L. ANAND, Moderate deformations in extension-torsion of incompressible isotropic elastic materials, J. Mech. Phys. Solids, 34, 293-304, 1986.
    • (1986) J. Mech. Phys. Solids , vol.34 , pp. 293-304
    • Anand, L.1
  • 4
    • 0000500956 scopus 로고
    • Non-linear mechanical response of various metals: I. Dynamic and static response to simple compression, tension and torsion in the as-received and annealed states
    • E. W. BILLINGTON, Non-linear mechanical response of various metals: I. Dynamic and static response to simple compression, tension and torsion in the as-received and annealed states, J. Phys. D: Appl. Phys., 10, 519-531, 1977.
    • (1977) J. Phys. D: Appl. Phys. , vol.10 , pp. 519-531
    • Billington, E.W.1
  • 6
    • 0032691282 scopus 로고    scopus 로고
    • Self-consistent Eulerian rate type elastoplasticity models based upon the logarithmic stress rate
    • O. T. BRUHNS, H. XIAO and A. MEYERS, Self-consistent Eulerian rate type elastoplasticity models based upon the logarithmic stress rate, Int. J. Plasticity, 15, 479-520, 1999.
    • (1999) Int. J. Plasticity , vol.15 , pp. 479-520
    • Bruhns, O.T.1    Xiao, H.2    Meyers, A.3
  • 7
    • 0001267856 scopus 로고
    • Generalized strain and stress measures: Critical survey and new results
    • A. CURNIER and L. RAKOTOMANANA, Generalized strain and stress measures: Critical survey and new results, Engng. Trans., 39, 461-538, 1991.
    • (1991) Engng. Trans. , vol.39 , pp. 461-538
    • Curnier, A.1    Rakotomanana, L.2
  • 8
    • 37749013159 scopus 로고
    • An experimental investigation of the Poynting effect
    • M. REINER and D. ABIR [Eds.], Pergamon Press, New York etc.
    • A. FOUX, An experimental investigation of the Poynting effect, [In:] Second Order Effects in Elasticity, Plasticity and Fluid Dynamics, M. REINER and D. ABIR [Eds.], Pergamon Press, New York etc. 1964.
    • (1964) Second Order Effects in Elasticity, Plasticity and Fluid Dynamics
    • Foux, A.1
  • 9
    • 0002182919 scopus 로고
    • Second order effects in dissipative media
    • London
    • A. M. FREUDENTHAL and M. RONAY, Second order effects in dissipative media, Proc. Roy. Soc., A 292, 14-50, London 1966.
    • (1966) Proc. Roy. Soc., A , vol.292 , pp. 14-50
    • Freudenthal, A.M.1    Ronay, M.2
  • 10
    • 0342763327 scopus 로고
    • Finite extension and torsion of cylinders
    • London
    • A. E. GREEN and R. T. SHIELD, Finite extension and torsion of cylinders, Phil. Trans. Roy. Soc., A 244, 47-86, London 1951.
    • (1951) Phil. Trans. Roy. Soc., A , vol.244 , pp. 47-86
    • Green, A.E.1    Shield, R.T.2
  • 11
    • 18744408857 scopus 로고
    • A note on second-order effects in the torsion of incompressible cylinders
    • A. E. GREEN, A note on second-order effects in the torsion of incompressible cylinders, Proc. Cambr. Phil. Soc., 50, 488-490, 1954.
    • (1954) Proc. Cambr. Phil. Soc. , vol.50 , pp. 488-490
    • Green, A.E.1
  • 14
    • 0001744822 scopus 로고
    • Über die Form des Elastizitätsgesetzes bei ideal elastischen Stoffen
    • H. HENCKY, Über die Form des Elastizitätsgesetzes bei ideal elastischen Stoffen, Zeit. Techn. Phys., 9, 215-220, 457, 1928.
    • (1928) Zeit. Techn. Phys. , vol.9 , pp. 215-220
    • Hencky, H.1
  • 15
    • 0000733877 scopus 로고
    • The law of elasticity for isotropic and quasi-isotropic substances by finite deformations
    • H. HENCKY, The law of elasticity for isotropic and quasi-isotropic substances by finite deformations, J. Rheology, 2, 169-176, 1931.
    • (1931) J. Rheology , vol.2 , pp. 169-176
    • Hencky, H.1
  • 16
    • 0000769346 scopus 로고
    • The elastic behavior of vulcanized rubber
    • H. HENCKY, The elastic behavior of vulcanized rubber, Rubber Chem. Techn., 6, 217-224, 1933.
    • (1933) Rubber Chem. Techn. , vol.6 , pp. 217-224
    • Hencky, H.1
  • 17
    • 33749197583 scopus 로고
    • Constitutive inequalities for simple materials
    • R. HILL, Constitutive inequalities for simple materials, J. Mech. Phys. Solids, 16, 229-242, 1968.
    • (1968) J. Mech. Phys. Solids , vol.16 , pp. 229-242
    • Hill, R.1
  • 18
    • 0014923642 scopus 로고
    • Constitutive inequalities for isotropic elastic solids at finite strain
    • London
    • R. HILL, Constitutive inequalities for isotropic elastic solids at finite strain, Proc. Roy. Soc., A 314, 457-472, London 1970.
    • (1970) Proc. Roy. Soc., A , vol.314 , pp. 457-472
    • Hill, R.1
  • 19
    • 0034156525 scopus 로고    scopus 로고
    • Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material
    • X. JIANG and R. W. OGDEN, Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material, Int. J. Non-linear Mech., 35, 361-369, 2000.
    • (2000) Int. J. Non-linear Mech. , vol.35 , pp. 361-369
    • Jiang, X.1    Ogden, R.W.2
  • 22
    • 0007016658 scopus 로고
    • On pressure perpendicular to the shear planes in finite pure shears and on the lengthening of loaded wires when twisted
    • London
    • J. H. POYNTING, On pressure perpendicular to the shear planes in finite pure shears and on the lengthening of loaded wires when twisted, Proc. Roy. Soc., A 82, 546-559, London 1909.
    • (1909) Proc. Roy. Soc., A , vol.82 , pp. 546-559
    • Poynting, J.H.1
  • 23
    • 0000283264 scopus 로고
    • On the changes in the dimensions of steel wire when twisted
    • London
    • J. H. POYNTING, On the changes in the dimensions of steel wire when twisted, Proc. Roy. Soc., A 86, 534-561, London 1912.
    • (1912) Proc. Roy. Soc., A , vol.86 , pp. 534-561
    • Poynting, J.H.1
  • 24
    • 0000413549 scopus 로고
    • Large elastic deformations of isotropic materials, Part VI. Further results in the theory of torsion, shear, and flexure
    • London
    • R. S. RIVLIN, Large elastic deformations of isotropic materials, Part VI. Further results in the theory of torsion, shear, and flexure, Phil. Trans. Roy. Soc., A 242, 173-195, London 1949.
    • (1949) Phil. Trans. Roy. Soc., A , vol.242 , pp. 173-195
    • Rivlin, R.S.1
  • 25
    • 0005262712 scopus 로고
    • The solution of problems in second order elasticity theory
    • R. S. RIVLIN, The solution of problems in second order elasticity theory, J. Rat. Mech. Anal., 2, 53-81, 1953.
    • (1953) J. Rat. Mech. Anal. , vol.2 , pp. 53-81
    • Rivlin, R.S.1
  • 26
    • 0000298337 scopus 로고
    • Large elastic deformations of isotropic materials, Part VII. Experiments on the deformation of rubbers
    • London
    • R. S. RIVLIN and D. W. SAUNDERS, Large elastic deformations of isotropic materials, Part VII. Experiments on the deformation of rubbers, Phil. Trans. Roy. Soc., A 243, 251-288, London 1951.
    • (1951) Phil. Trans. Roy. Soc., A , vol.243 , pp. 251-288
    • Rivlin, R.S.1    Saunders, D.W.2
  • 28
    • 0002565890 scopus 로고
    • Handbuch der Physik, S. FLÜGGE [Ed.], Springer-Verlag, Berlin etc.
    • C. TRUESDELL and W. NOLL, The nonlinear field theories of mechanics, [In:] Handbuch der Physik, S. FLÜGGE [Ed.], Vol. III/3, Springer-Verlag, Berlin etc. 1965.
    • (1965) The Nonlinear Field Theories of Mechanics , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 29
    • 0031108422 scopus 로고    scopus 로고
    • Hypo-elasticity model based upon the logarithmic stress rate
    • H. XIAO, O. T. BRUHNS and A. MEYERS, Hypo-elasticity model based upon the logarithmic stress rate, J. Elasticity, 47, 51-68, 1997.
    • (1997) J. Elasticity , vol.47 , pp. 51-68
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 30
    • 0031352140 scopus 로고    scopus 로고
    • Logarithmic strain, logarithmic spin and logarithmic rate
    • H. XIAO, O. T. BRUHNS and A. MEYERS, Logarithmic strain, logarithmic spin and logarithmic rate, Acta Mechanica, 124, 89-105, 1997.
    • (1997) Acta Mechanica , vol.124 , pp. 89-105
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 31
  • 32
    • 0032182760 scopus 로고    scopus 로고
    • On objective corotational rates and their defining spin tensors
    • H. XIAO, O. T. BRUHNS and A. MEYERS, On objective corotational rates and their defining spin tensors, Int. J. Solids Struct., 35, 4001-4014, 1998.
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 4001-4014
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3
  • 33
    • 0032606297 scopus 로고    scopus 로고
    • 0 = λ(trD)I + 2μD and its significance to finite inelasticity
    • 0 = λ(trD)I + 2μD and its significance to finite inelasticity, Acta Mechanica, 138, 31-50, 1999.
    • (1999) Acta Mechanica , vol.138 , pp. 31-50
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.