메뉴 건너뛰기




Volumn 46, Issue 11, 2008, Pages 1063-1076

Representation for stress from a stressed reference configuration

Author keywords

Prestress; Representation; Residual stress; Stressed reference configuration

Indexed keywords

CONSTITUTIVE RELATIONS; DISSIPATIVE PROCESSES; FINITE ELASTIC DEFORMATIONS; ORTHOGONAL GROUPS; PRESTRESS; REPRESENTATION; RESPONSE CHARACTERISTICS; STRESS FREE; STRESSED REFERENCE CONFIGURATION; SYMMETRY GROUPS;

EID: 55749086241     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2008.04.002     Document Type: Article
Times cited : (19)

References (26)
  • 1
    • 0027091948 scopus 로고
    • A constitutive model for nonlinear solids which undergo deformation induced microstructural changes
    • Rajagopal K.R., and Wineman A.S. A constitutive model for nonlinear solids which undergo deformation induced microstructural changes. International Journal of Plasticity 8 (1992) 385-395
    • (1992) International Journal of Plasticity , vol.8 , pp. 385-395
    • Rajagopal, K.R.1    Wineman, A.S.2
  • 2
    • 0002611938 scopus 로고
    • On a constitutive theory of materials undergoing microstructural changes
    • Wineman A.S., and Rajagopal K.R. On a constitutive theory of materials undergoing microstructural changes. Archives of Mechanics 42 (1990) 53-75
    • (1990) Archives of Mechanics , vol.42 , pp. 53-75
    • Wineman, A.S.1    Rajagopal, K.R.2
  • 3
    • 0030241575 scopus 로고    scopus 로고
    • Chemorheological relaxation, residual stress and permanent set arising in radial deformation of elastomeric hollow spheres
    • Huntley H.E., Wineman A.S., and Rajagopal K.R. Chemorheological relaxation, residual stress and permanent set arising in radial deformation of elastomeric hollow spheres. Mathematics and Mechanics of Solids 1 3 (1996) 267-299
    • (1996) Mathematics and Mechanics of Solids , vol.1 , Issue.3 , pp. 267-299
    • Huntley, H.E.1    Wineman, A.S.2    Rajagopal, K.R.3
  • 6
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissues
    • Rodriguez E., Hoger A., and McCulloch A.D. Stress-dependent finite growth in soft elastic tissues. Journal of Biomechanics 27 4 (1994) 455-467
    • (1994) Journal of Biomechanics , vol.27 , Issue.4 , pp. 455-467
    • Rodriguez, E.1    Hoger, A.2    McCulloch, A.D.3
  • 9
    • 0001399424 scopus 로고
    • General theory of small elastic deformations superposed on finite elastic deformations
    • Green A.E., Rivlin R.S., and Shield R.T. General theory of small elastic deformations superposed on finite elastic deformations. Proceedings of the Royal Society of London A 211 (1952) 128-154
    • (1952) Proceedings of the Royal Society of London A , vol.211 , pp. 128-154
    • Green, A.E.1    Rivlin, R.S.2    Shield, R.T.3
  • 10
    • 0002565890 scopus 로고
    • The Nonlinear Field Theories
    • Springer-Verlag, Berlin
    • Truesdell C., and Noll W. The Nonlinear Field Theories. Handbuch der Physik Vol. III/3 (1965), Springer-Verlag, Berlin
    • (1965) Handbuch der Physik , vol.III-3
    • Truesdell, C.1    Noll, W.2
  • 13
    • 0029516697 scopus 로고
    • The use of a virtual configuration in formulating constitutive equations for residually stresses elastic materials
    • Johnson B.E., and Hoger A. The use of a virtual configuration in formulating constitutive equations for residually stresses elastic materials. Journal of Elasticity 41 (1995) 177-213
    • (1995) Journal of Elasticity , vol.41 , pp. 177-213
    • Johnson, B.E.1    Hoger, A.2
  • 14
    • 0031354693 scopus 로고    scopus 로고
    • Virtual configurations and constitutive equations for residually stresses bodies with symmetry
    • Hoger A. Virtual configurations and constitutive equations for residually stresses bodies with symmetry. Journal of Elasticity 48 (1997) 125-146
    • (1997) Journal of Elasticity , vol.48 , pp. 125-146
    • Hoger, A.1
  • 15
    • 0001503470 scopus 로고
    • Elasticity beyond the elastic limit
    • Reiner M. Elasticity beyond the elastic limit. American Journal of Mathematics 70 (1948) 433-446
    • (1948) American Journal of Mathematics , vol.70 , pp. 433-446
    • Reiner, M.1
  • 16
    • 0000298336 scopus 로고
    • Large elastic deformations of isotropic materials ii. some uniqueness theorems for pure homogeneous deformations
    • Rivlin R.S. Large elastic deformations of isotropic materials ii. some uniqueness theorems for pure homogeneous deformations. Philosophical Transactions of the Royal Society of London 240 (1948) 419-508
    • (1948) Philosophical Transactions of the Royal Society of London , vol.240 , pp. 419-508
    • Rivlin, R.S.1
  • 17
    • 0016119192 scopus 로고
    • Stability of pure homogeneous deformations of an elastic cube under dead loading
    • Rivlin R.S. Stability of pure homogeneous deformations of an elastic cube under dead loading. Quarterly Journal of Applied Mathematics 32 (1974) 265-272
    • (1974) Quarterly Journal of Applied Mathematics , vol.32 , pp. 265-272
    • Rivlin, R.S.1
  • 18
    • 55749098250 scopus 로고    scopus 로고
    • R.S. Rivlin, Some thoughts on material stability, in: Proceedings of the IUTAM Symposium on Finite Elasticity, Lehigh Univ, Nijhoff, Boston, 1982.
    • R.S. Rivlin, Some thoughts on material stability, in: Proceedings of the IUTAM Symposium on Finite Elasticity, Lehigh Univ, Nijhoff, Boston, 1982.
  • 19
    • 0022492957 scopus 로고
    • Asymmetric stretching of a symmetrically loaded elastic sheet
    • Kearsley E.A. Asymmetric stretching of a symmetrically loaded elastic sheet. International Journal of Solids and Structures 22 2 (1986) 111-119
    • (1986) International Journal of Solids and Structures , vol.22 , Issue.2 , pp. 111-119
    • Kearsley, E.A.1
  • 20
    • 0026863288 scopus 로고
    • Bifurcation and stability of an incompressible elastic body under homogeneous dead loads with symmetry part 1: general isotropic materials
    • Macsithigh G.P., and Chen Y.C. Bifurcation and stability of an incompressible elastic body under homogeneous dead loads with symmetry part 1: general isotropic materials. Quarterly Journal of Mechanics and Applied Mathematics 45 2 (1992) 277-291
    • (1992) Quarterly Journal of Mechanics and Applied Mathematics , vol.45 , Issue.2 , pp. 277-291
    • Macsithigh, G.P.1    Chen, Y.C.2
  • 21
    • 0026861191 scopus 로고
    • Bifurcation and stability of an incompressible elastic body under homogeneous dead loads with symmetry part 2: Mooney-Rivlin materials
    • Macsithigh G.P., and Chen Y.C. Bifurcation and stability of an incompressible elastic body under homogeneous dead loads with symmetry part 2: Mooney-Rivlin materials. Quarterly Journal of Mechanics and Applied Mathematics 45 2 (1992) 293-313
    • (1992) Quarterly Journal of Mechanics and Applied Mathematics , vol.45 , Issue.2 , pp. 293-313
    • Macsithigh, G.P.1    Chen, Y.C.2
  • 22
    • 55749101871 scopus 로고    scopus 로고
    • U. Saravanan, Y.C. Chen, K.R. Rajagopal, Multiple homogeneous elastic deformations of homogeneous, isotropic bodies corresponding to a given state of uniform stress, Journal of Elasticity, submitted for publication.
    • U. Saravanan, Y.C. Chen, K.R. Rajagopal, Multiple homogeneous elastic deformations of homogeneous, isotropic bodies corresponding to a given state of uniform stress, Journal of Elasticity, submitted for publication.
  • 23
    • 0016574978 scopus 로고
    • Inequalities sufficient to ensure semi-invertibility of isotropic functions
    • Truesdell C., and Moon H. Inequalities sufficient to ensure semi-invertibility of isotropic functions. Journal of Elasticity 5 (1975) 183-189
    • (1975) Journal of Elasticity , vol.5 , pp. 183-189
    • Truesdell, C.1    Moon, H.2
  • 24
    • 84867959680 scopus 로고    scopus 로고
    • On implicit constitutive theories
    • Rajagopal K.R. On implicit constitutive theories. Applications of Mathematics 48 4 (2003) 279-319
    • (2003) Applications of Mathematics , vol.48 , Issue.4 , pp. 279-319
    • Rajagopal, K.R.1
  • 25
    • 0036466224 scopus 로고    scopus 로고
    • Prediction of residual stress and distortion of ferrous and non-ferrous metals: current status and future developments
    • Denis S., Archambault P., Gautier E., Simon A., and Beck G. Prediction of residual stress and distortion of ferrous and non-ferrous metals: current status and future developments. Journal of Materials Engineering and Performance 11 1 (2002) 92-102
    • (2002) Journal of Materials Engineering and Performance , vol.11 , Issue.1 , pp. 92-102
    • Denis, S.1    Archambault, P.2    Gautier, E.3    Simon, A.4    Beck, G.5
  • 26
    • 84953648079 scopus 로고
    • Application of finite elastic theory to the deformation of rubbery materials
    • Blatz P.J., and Ko W.L. Application of finite elastic theory to the deformation of rubbery materials. Transactions of the Society of Rheology VI (1962) 223-251
    • (1962) Transactions of the Society of Rheology , vol.VI , pp. 223-251
    • Blatz, P.J.1    Ko, W.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.