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Volumn 3, Issue 2, 1998, Pages 169-181

On the existence of a stretch for a prescribed stress in isotropic, incompressible elastic materials

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; STRESSES; TENSORS;

EID: 0032097878     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659800300203     Document Type: Article
Times cited : (4)

References (13)
  • 1
    • 0000298336 scopus 로고
    • Large elastic deformations of isotropic materials. I. Fundamental concepts
    • Rivlin, R. S.: Large elastic deformations of isotropic materials. I. Fundamental concepts. Phil. Trans. Roy. Soc. Lon., 240A, 459-490 (1948).
    • (1948) Phil. Trans. Roy. Soc. Lon. , vol.240 A , pp. 459-490
    • Rivlin, R.S.1
  • 2
    • 84884414256 scopus 로고
    • A uniqueness theorem in the theory of highly-elastic materials
    • Rivlin, R. S.: A uniqueness theorem in the theory of highly-elastic materials. Proc. Cambridge Phil. Soc., 44, 595-597 (1948).
    • (1948) Proc. Cambridge Phil. Soc. , vol.44 , pp. 595-597
    • Rivlin, R.S.1
  • 3
    • 0000298336 scopus 로고
    • Large elastic deformations of isotropic materials. II. Some uniqueness theorems for pure, homogeneous deformation
    • Rivlin, R. S.: Large elastic deformations of isotropic materials. II. Some uniqueness theorems for pure, homogeneous deformation. Phil. Trans. Roy. Soc. Lon., 240A, 491-508 (1948).
    • (1948) Phil. Trans. Roy. Soc. Lon. , vol.240 A , pp. 491-508
    • Rivlin, R.S.1
  • 4
    • 0020810817 scopus 로고
    • Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions
    • Ball, J. M. and Schaeffer, D. G.: Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Math. Proc. Cambridge Phil. Soc., 94, 315-339 (1983).
    • (1983) Math. Proc. Cambridge Phil. Soc. , vol.94 , pp. 315-339
    • Ball, J.M.1    Schaeffer, D.G.2
  • 5
    • 0001507331 scopus 로고
    • The mechanical foundations of elasticity and fluid dynamics
    • Corrections and Additions, Vol. 2, pp. 593-616, Vol. 3, pp. 801-802
    • Truesdell, C.: The mechanical foundations of elasticity and fluid dynamics. J. Ration. Mech. Anal., 1, 125-300 (1952). (Corrections and Additions, Vol. 2, pp. 593-616, Vol. 3, pp. 801-802)
    • (1952) J. Ration. Mech. Anal. , vol.1 , pp. 125-300
    • Truesdell, C.1
  • 6
    • 0002701432 scopus 로고
    • Inequalities restricting the form of the stress-deformation relations for isotropic elastic solids and Reiner-Rivlin fluids
    • Baker, M. and Ericksen, J. L.: Inequalities restricting the form of the stress-deformation relations for isotropic elastic solids and Reiner-Rivlin fluids. J. Wash. Acad. Sci., 41, 33-35 (1954).
    • (1954) J. Wash. Acad. Sci. , vol.41 , pp. 33-35
    • Baker, M.1    Ericksen, J.L.2
  • 7
    • 3342996671 scopus 로고
    • Conditions on the elastic strain-energy function. Special issue on Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids
    • Carroll, M. M. and McCarthy M. F.: Conditions on the elastic strain-energy function. Special issue on Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids. J. Appl. Math. Mech. (ZAMP), 46, S172-S184 (1995).
    • (1995) J. Appl. Math. Mech. (ZAMP) , vol.46
    • Carroll, M.M.1    McCarthy, M.F.2
  • 12
    • 84972349023 scopus 로고
    • Inequalities associated with the inversion of elastic stress-deformation relations and their implications
    • Ogden, R. W.: Inequalities associated with the inversion of elastic stress-deformation relations and their implications. Math. Proc. Cambridge Phil. Soc., 81, 313-324 (1977).
    • (1977) Math. Proc. Cambridge Phil. Soc. , vol.81 , pp. 313-324
    • Ogden, R.W.1
  • 13
    • 0000298337 scopus 로고
    • Large elastic deformations of isotropic materials. VII. Experiments on the deformation of rubber
    • Rivlin, R. S. and Saunders, D. W.: Large elastic deformations of isotropic materials. VII. Experiments on the deformation of rubber. Phil. Trans. Roy. Soc. Lon., 243A, 251-288 (1951).
    • (1951) Phil. Trans. Roy. Soc. Lon. , vol.243 A , pp. 251-288
    • Rivlin, R.S.1    Saunders, D.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.