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Volumn 45, Issue 17, 2008, Pages 4739-4747

The elastic-viscoelastic correspondence principle for non-homogeneous materials with time translation non-invariant properties

Author keywords

Correspondence principle; Functionally graded materials; Similarity; Time translation invariant; Viscoelasticity; Volterra operators

Indexed keywords

COMPUTATIONAL GEOMETRY; ERROR ANALYSIS; LAPLACE TRANSFORMS; MATERIALS PROPERTIES; PAPER; PIGMENTS; QUANTUM THEORY; TRANSLATION (LANGUAGES);

EID: 45449097625     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.04.011     Document Type: Article
Times cited : (32)

References (14)
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    • Jin, Z.-H.1
  • 5
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    • On similarity reducing manifolds, and unitary equivalence of certain Volterra operators
    • Kalisch K. On similarity reducing manifolds, and unitary equivalence of certain Volterra operators. Ann. Math. 66 2 (1957) 481-494
    • (1957) Ann. Math. , vol.66 , Issue.2 , pp. 481-494
    • Kalisch, K.1
  • 6
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    • On isometric equivalence of certain Volterra operators
    • Kalisch K. On isometric equivalence of certain Volterra operators. Proc. Amer. Math. Soc. 12 (1961) 93-98
    • (1961) Proc. Amer. Math. Soc. , vol.12 , pp. 93-98
    • Kalisch, K.1
  • 7
    • 45449089460 scopus 로고    scopus 로고
    • Kharlab, V.D., 1968. Generalization of Volterra principle for the case of non-commutating operators (in Russian).
    • Kharlab, V.D., 1968. Generalization of Volterra principle for the case of non-commutating operators (in Russian).
  • 8
    • 45449119866 scopus 로고    scopus 로고
    • Khazanovich, L., 1988. Utilizing the property of linear equivalence of Volterra's operators for solving of creep boundary value problems. Issledovaniya po Mekhanike Stroitelnykh Kinstrucktsii I Materialov, pp. 101-106 (in Russian).
    • Khazanovich, L., 1988. Utilizing the property of linear equivalence of Volterra's operators for solving of creep boundary value problems. Issledovaniya po Mekhanike Stroitelnykh Kinstrucktsii I Materialov, pp. 101-106 (in Russian).
  • 10
    • 45449116518 scopus 로고    scopus 로고
    • Malamud, M.M., 1994. Similarity of Volterra operators and related problems in the theory of differential equations of fractional orders. Trudy Moscov. Mat. Obshch. 55, 73-148 (Russian); Transl. Trans. Moscow Math. Soc. 55, 57-122.
    • Malamud, M.M., 1994. Similarity of Volterra operators and related problems in the theory of differential equations of fractional orders. Trudy Moscov. Mat. Obshch. 55, 73-148 (Russian); Transl. Trans. Moscow Math. Soc. 55, 57-122.
  • 11
    • 0038042580 scopus 로고    scopus 로고
    • The Elastic-viscoelastic correspondence principle for functionally graded materials, revisited
    • Mukherjee S., and Paulino G.H. The Elastic-viscoelastic correspondence principle for functionally graded materials, revisited. ASME J. Appl. Mech. 68 (2003) 359-363
    • (2003) ASME J. Appl. Mech. , vol.68 , pp. 359-363
    • Mukherjee, S.1    Paulino, G.H.2
  • 12
    • 0000232912 scopus 로고    scopus 로고
    • Correspondence principle in viscoelastic functionally graded materials
    • Paulino G.H., and Jin Z.-H. Correspondence principle in viscoelastic functionally graded materials. ASME J. Appl. Mech. 68 (2001) 129-132
    • (2001) ASME J. Appl. Mech. , vol.68 , pp. 129-132
    • Paulino, G.H.1    Jin, Z.-H.2
  • 13
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    • An application of the correspondence principle of linear viscoelasticity theory
    • Rizzo F.J., and Shippy D.J. An application of the correspondence principle of linear viscoelasticity theory. J. Appl. Math. 21 (1971) 321-330
    • (1971) J. Appl. Math. , vol.21 , pp. 321-330
    • Rizzo, F.J.1    Shippy, D.J.2
  • 14
    • 0001559473 scopus 로고
    • Approximate methods of transform inversion for viscoelastic stress analysis
    • Schapery R.A. Approximate methods of transform inversion for viscoelastic stress analysis. Proc. US Natl. Congr. Appl. Mech. (ASME) 4 (1962) 1075-1085
    • (1962) Proc. US Natl. Congr. Appl. Mech. (ASME) , vol.4 , pp. 1075-1085
    • Schapery, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.