메뉴 건너뛰기




Volumn 460, Issue 2044, 2004, Pages 1193-1212

Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials

Author keywords

Anti plane shear; Elliptic systems of second order partial differential equations with variable coefficients; Functionally graded piezoelectric materials; Saint Venant end effects

Indexed keywords

ANISOTROPY; ARTICLE; CORRELATION COEFFICIENT; ELASTICITY; PIEZOELECTRICITY; PREDICTION; SHEAR FLOW; SHEAR STRESS; STRUCTURE ANALYSIS; THEORY; VISCOELASTICITY; YOUNG MODULUS;

EID: 1642485058     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1201     Document Type: Article
Times cited : (30)

References (27)
  • 1
    • 0033327727 scopus 로고    scopus 로고
    • Higher-order theory for functionally graded materials
    • Aboudi, J., Pindera, M.-J. & Arnold, S. M. 1999 Higher-order theory for functionally graded materials. Composites B 30, 777-832.
    • (1999) Composites B , vol.30 , pp. 777-832
    • Aboudi, J.1    Pindera, M.-J.2    Arnold, S.M.3
  • 2
    • 0029255465 scopus 로고
    • Saint-Venant's principle in linear piezoelectricity
    • Batra, R. C. & Yang, J. S. 1995 Saint-Venant's principle in linear piezoelectricity. J. Elastic. 38, 209-218.
    • (1995) J. Elastic. , vol.38 , pp. 209-218
    • Batra, R.C.1    Yang, J.S.2
  • 3
    • 0030123574 scopus 로고    scopus 로고
    • Saint-Venant's principle for a helical piezoelectric body
    • Batra, R. C. & Zhong, X. 1996 Saint-Venant's principle for a helical piezoelectric body. J. Elastic. 43, 69-79.
    • (1996) J. Elastic. , vol.43 , pp. 69-79
    • Batra, R.C.1    Zhong, X.2
  • 4
    • 33748590558 scopus 로고    scopus 로고
    • The Saint-Venant problem for monoclinic piezoelectric cylinders
    • Bisegna, P. 1999 The Saint-Venant problem for monoclinic piezoelectric cylinders. Z. Angew. Math. Mech. 18, 147-165.
    • (1999) Z. Angew. Math. Mech. , vol.18 , pp. 147-165
    • Bisegna, P.1
  • 5
    • 0345504861 scopus 로고    scopus 로고
    • Saint-Venant's principle for a piezoelectric body
    • Borrelli, A. & Patria, M. C. 1999 Saint-Venant's principle for a piezoelectric body. SIAM J. Appl. Math. 59, 1098-1111.
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 1098-1111
    • Borrelli, A.1    Patria, M.C.2
  • 6
    • 0035739256 scopus 로고    scopus 로고
    • Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials
    • Borrelli, A., Horgan, C. O. & Patria, M. C. 2001 Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. J. Elastic. 64, 217-236.
    • (2001) J. Elastic. , vol.64 , pp. 217-236
    • Borrelli, A.1    Horgan, C.O.2    Patria, M.C.3
  • 7
    • 0036665268 scopus 로고    scopus 로고
    • Saint-Venant's principle for anti-plane shear deformations of linear piezoelectric materials
    • Borrelli, A., Horgan, C. O. & Patria, M. C. 2002 Saint-Venant's principle for anti-plane shear deformations of linear piezoelectric materials. SIAM J. Appl. Math. 62, 2027-2044.
    • (2002) SIAM J. Appl. Math. , vol.62 , pp. 2027-2044
    • Borrelli, A.1    Horgan, C.O.2    Patria, M.C.3
  • 8
    • 0141456339 scopus 로고    scopus 로고
    • End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear
    • Borrelli, A., Horgan, C. O. & Patria, M. C. 2003 End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. Z. Angew. Math. Phys. 54, 797-806.
    • (2003) Z. Angew. Math. Phys. , vol.54 , pp. 797-806
    • Borrelli, A.1    Horgan, C.O.2    Patria, M.C.3
  • 9
    • 0032305219 scopus 로고    scopus 로고
    • End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip
    • Chan, A. M. & Horgan, C. O. 1998 End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip. J. Elastic. 51, 227-242.
    • (1998) J. Elastic. , vol.51 , pp. 227-242
    • Chan, A.M.1    Horgan, C.O.2
  • 11
    • 0141733539 scopus 로고
    • Qualitative estimates for laminate-like elastic materials
    • ed. D. F. Parker & A. H. England, Kluwer
    • Flavin, J. N. 1995 Qualitative estimates for laminate-like elastic materials. In Anisotropy, inhomogeneity and nonlinearity in solid mechanics (ed. D. F. Parker & A. H. England), pp. 339-344. Kluwer.
    • (1995) Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics , pp. 339-344
    • Flavin, J.N.1
  • 13
    • 33749293635 scopus 로고
    • Recent developments concerning Saint-Venant's principle: An update
    • Horgan, C. O. 1989 Recent developments concerning Saint-Venant's principle: an update. Appl. Mech. Rev. 42, 295-303.
    • (1989) Appl. Mech. Rev. , vol.42 , pp. 295-303
    • Horgan, C.O.1
  • 14
    • 0029273272 scopus 로고
    • Anti-plane shear deformations in linear and nonlinear solid mechanics
    • Horgan, C. O. 1995 Anti-plane shear deformations in linear and nonlinear solid mechanics. SIAM Rev. 37, 53-81.
    • (1995) SIAM Rev. , vol.37 , pp. 53-81
    • Horgan, C.O.1
  • 15
    • 0030257414 scopus 로고    scopus 로고
    • Recent developments concerning Saint-Venant's principle: A second update
    • Horgan, C. O. 1996a Recent developments concerning Saint-Venant's principle: a second update. Appl. Mech. Rev. 49, S101-S111.
    • (1996) Appl. Mech. Rev. , vol.49
    • Horgan, C.O.1
  • 16
    • 0002651145 scopus 로고    scopus 로고
    • Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics
    • (ed. R. Russo). Advances in Mathematics for Applied Sciences, World Scientific
    • Horgan, C. O. 1996b Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics. In Mathematical problems in elasticity (ed. R. Russo). Advances in Mathematics for Applied Sciences, vol. 38, pp. 47-89. World Scientific.
    • (1996) Mathematical Problems in Elasticity , vol.38 , pp. 47-89
    • Horgan, C.O.1
  • 17
    • 0002156821 scopus 로고    scopus 로고
    • Saint-Venant's principle in anisotropic elasticity
    • ed. A. Kelly & C. Zweben, Elsevier
    • Horgan, C. O. & Carlsson, L. A. 2000 Saint-Venant's principle in anisotropic elasticity. In Comprehensive composite materials (ed. A. Kelly & C. Zweben), vol. 5, pp. 5-21. Elsevier.
    • (2000) Comprehensive Composite Materials , vol.5 , pp. 5-21
    • Horgan, C.O.1    Carlsson, L.A.2
  • 18
    • 0000579235 scopus 로고    scopus 로고
    • Vibration of inhomogeneous strings, rods and membranes
    • Horgan, C. O. & Chan, A. M. 1999 Vibration of inhomogeneous strings, rods and membranes. J. Sound Vib. 225, 503-513.
    • (1999) J. Sound Vib. , vol.225 , pp. 503-513
    • Horgan, C.O.1    Chan, A.M.2
  • 20
    • 84987828084 scopus 로고
    • Anti-plane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids
    • Horgan, C. O. & Miller, K. L. 1994 Anti-plane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids. J. Appl. Mech. 61, 23-29.
    • (1994) J. Appl. Mech. , vol.61 , pp. 23-29
    • Horgan, C.O.1    Miller, K.L.2
  • 21
    • 21344480154 scopus 로고
    • On the asymptotic behaviour of solutions of linear second-order boundary-value problems on a semi-infinite strip
    • Horgan, C. O. & Payne, L. E. 1993 On the asymptotic behaviour of solutions of linear second-order boundary-value problems on a semi-infinite strip. Arch. Ration. Mech. Analysis 124, 277-303.
    • (1993) Arch. Ration. Mech. Analysis , vol.124 , pp. 277-303
    • Horgan, C.O.1    Payne, L.E.2
  • 22
    • 0035306681 scopus 로고    scopus 로고
    • Saint-Venant end effects in anti-plane shear for functionally graded linearly elastic materials
    • Horgan, C. O. & Quintanilla, R. 2001a Saint-Venant end effects in anti-plane shear for functionally graded linearly elastic materials. Math. Mech. Solids 6, 115-132.
    • (2001) Math. Mech. Solids , vol.6 , pp. 115-132
    • Horgan, C.O.1    Quintanilla, R.2
  • 23
    • 0035447714 scopus 로고    scopus 로고
    • Spatial decay of transient end effects in functionally graded heat-conducting materials
    • Horgan, C. O. & Quintanilla, R. 2001b Spatial decay of transient end effects in functionally graded heat-conducting materials. Q. Appl. Math. 59, 529-542.
    • (2001) Q. Appl. Math. , vol.59 , pp. 529-542
    • Horgan, C.O.1    Quintanilla, R.2
  • 24
    • 33750901031 scopus 로고    scopus 로고
    • Yoffe-type moving crack in a functionally graded piezoelectric material
    • Li, C. & Weng, G. J. 2002 Yoffe-type moving crack in a functionally graded piezoelectric material. Proc. R. Soc. Lond. A 458, 381-399.
    • (2002) Proc. R. Soc. Lond. A , vol.458 , pp. 381-399
    • Li, C.1    Weng, G.J.2
  • 25
    • 0031381299 scopus 로고    scopus 로고
    • Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear
    • Scalpato, M. R. & Morgan, C. O. 1997 Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear. J. Elastic. 48, 145-166.
    • (1997) J. Elastic. , vol.48 , pp. 145-166
    • Scalpato, M.R.1    Morgan, C.O.2
  • 26
    • 0030105860 scopus 로고    scopus 로고
    • Piezoelectric ceramics with functional gradients: A new application in material design
    • Wu, C. M., Kahn, M. & Moy, W. 1996 Piezoelectric ceramics with functional gradients: a new application in material design. J. Am. Ceram. Soc. 79, 809-812.
    • (1996) J. Am. Ceram. Soc. , vol.79 , pp. 809-812
    • Wu, C.M.1    Kahn, M.2    Moy, W.3
  • 27
    • 0034580694 scopus 로고    scopus 로고
    • Microdisplacement characteristics and microstructures of functionally gradient piezoelectric ceramic actuator
    • Zhu, X., Xu, J. & Meng, Z. 2000 Microdisplacement characteristics and microstructures of functionally gradient piezoelectric ceramic actuator. Mater. Des. 21, 561-566.
    • (2000) Mater. Des. , vol.21 , pp. 561-566
    • Zhu, X.1    Xu, J.2    Meng, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.