메뉴 건너뛰기




Volumn 196, Issue 3-4, 2008, Pages 139-159

Axisymmetric elasticity solutions for a uniformly loaded annular plate of transversely isotropic functionally graded materials

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELASTICITY; FUNCTION EVALUATION; INTEGRAL EQUATIONS;

EID: 41149166255     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-007-0498-9     Document Type: Article
Times cited : (31)

References (46)
  • 2
    • 0001920257 scopus 로고
    • Concept of FGM
    • Koizumi M. (1993). Concept of FGM. Ceramic Trans. 34: 3-10
    • (1993) Ceramic Trans. , vol.34 , pp. 3-10
    • Koizumi, M.1
  • 3
    • 0030678234 scopus 로고    scopus 로고
    • FGM activity in Japan
    • Koizumi M. (1997). FGM activity in Japan. Compos. Part B. 28: 1-4
    • (1997) Compos. Part B. , vol.28 , pp. 1-4
    • Koizumi, M.1
  • 4
    • 0030647384 scopus 로고    scopus 로고
    • Fabrication and properties of functionally graded dental implant
    • Watari F., Yokoyama A., Saso F. and Kawasaki T. (1997). Fabrication and properties of functionally graded dental implant. Compos. Part B 28: 5-11
    • (1997) Compos. Part B , vol.28 , pp. 5-11
    • Watari, F.1    Yokoyama, A.2    Saso, F.3    Kawasaki, T.4
  • 6
  • 7
    • 0142214631 scopus 로고    scopus 로고
    • Graded coatings for thermal, wear and corrosion barriers
    • Schulz U., Peters M., Bach F. W. and Tegeder G. (2003). Graded coatings for thermal, wear and corrosion barriers. Mater. Sci. Engng. A 362: 61-80
    • (2003) Mater. Sci. Engng. A , vol.362 , pp. 61-80
    • Schulz, U.1    Peters, M.2    Bach, F.W.3    Tegeder, G.4
  • 9
    • 0036220654 scopus 로고    scopus 로고
    • On free vibration of a functionally graded piezoelectric rectangular plate
    • Chen W. Q. and Ding H. J. (2002). On free vibration of a functionally graded piezoelectric rectangular plate. Acta. Mech. 153: 207-216
    • (2002) Acta. Mech. , vol.153 , pp. 207-216
    • Chen, W.Q.1    Ding, H.J.2
  • 10
    • 0242337694 scopus 로고    scopus 로고
    • Three-dimensional analysis of transient thermal stress in functionally graded plates
    • Vel S. S. and Batra R. C. (2003). Three-dimensional analysis of transient thermal stress in functionally graded plates. Int. J. Solids Struct. 40: 7181-7196
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 7181-7196
    • Vel, S.S.1    Batra, R.C.2
  • 11
    • 28444450522 scopus 로고    scopus 로고
    • Random vibration of the functionally graded laminates in thermal environments
    • Kitipornchai S., Yang J. and Liew K. M. (2006). Random vibration of the functionally graded laminates in thermal environments. Comput. Meth. Appl. Mech. Engng. 195: 1075-1095
    • (2006) Comput. Meth. Appl. Mech. Engng. , vol.195 , pp. 1075-1095
    • Kitipornchai, S.1    Yang, J.2    Liew, K.M.3
  • 12
    • 33746405079 scopus 로고    scopus 로고
    • Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method
    • Prakash T. and Ganapathi M. (2006). Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method. Compos. Part B 37: 642-649
    • (2006) Compos. Part B , vol.37 , pp. 642-649
    • Prakash, T.1    Ganapathi, M.2
  • 13
    • 33746471923 scopus 로고    scopus 로고
    • Free vibration, buckling, and static deflections of functionally graded plates
    • Abrate S. (2006). Free vibration, buckling and static deflections of functionally graded plates. Compos Sci. Technol. 66: 2383-2394
    • (2006) Compos Sci. Technol. , vol.66 , pp. 2383-2394
    • Abrate, S.1
  • 14
    • 18144375575 scopus 로고    scopus 로고
    • Second-order statistics of the elastic buckling of functionally graded rectangular plates
    • Yang J., Liew K. M. and Kitipornchai S. (2005). Second-order statistics of the elastic buckling of functionally graded rectangular plates. Compos. Sci. Technol. 65: 1165-1175
    • (2005) Compos. Sci. Technol. , vol.65 , pp. 1165-1175
    • Yang, J.1    Liew, K.M.2    Kitipornchai, S.3
  • 15
    • 34548701995 scopus 로고    scopus 로고
    • Conditions for functionally graded plates to remain flat under in-plane loads by classical plate theory
    • (in press) DOI: 10.1016/j.compstruct.2006.10.004
    • Aydogdu, M.: Conditions for functionally graded plates to remain flat under in-plane loads by classical plate theory. Compos. Struct. (2006) (in press) DOI: 10.1016/j.compstruct.2006.10.004
    • (2006) Compos. Struct.
    • Aydogdu, M.1
  • 16
    • 34250674459 scopus 로고    scopus 로고
    • On calculating dispersion curves of waves in a functionally elastic plate
    • Chen W. Q., Wang H. M. and Bao R. H. (2007). On calculating dispersion curves of waves in a functionally elastic plate. Compos. Struct. 81: 233-242
    • (2007) Compos. Struct. , vol.81 , pp. 233-242
    • Chen, W.Q.1    Wang, H.M.2    Bao, R.H.3
  • 17
    • 33748150981 scopus 로고    scopus 로고
    • Cracks and re-entrant corners in functionally graded materials
    • Carpinteri A. and Pugno N. (2006). Cracks and re-entrant corners in functionally graded materials. Engng. Fract. Mech. 73: 1279-1291
    • (2006) Engng. Fract. Mech. , vol.73 , pp. 1279-1291
    • Carpinteri, A.1    Pugno, N.2
  • 18
    • 0001001138 scopus 로고    scopus 로고
    • Cracks problem for non-homogeneous composite material subjected to dynamic loading
    • Wang B. L., Han J. C. and Du S. Y. (2000). Cracks problem for non-homogeneous composite material subjected to dynamic loading. Int. J. Solids Struct. 37: 1251-1274
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 1251-1274
    • Wang, B.L.1    Han, J.C.2    Du, S.Y.3
  • 19
    • 33746405079 scopus 로고    scopus 로고
    • Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method
    • Prakash T. and Ganapathi M. (2006). Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method. Compos. Part B. 37: 642-649
    • (2006) Compos. Part B. , vol.37 , pp. 642-649
    • Prakash, T.1    Ganapathi, M.2
  • 20
    • 33646514845 scopus 로고    scopus 로고
    • Mechanical behavior of functionally graded material plates under transverse load - Part I: Analysis
    • Chi S. H. and Chung Y. L. (2006). Mechanical behavior of functionally graded material plates under transverse load - Part I: Analysis. Int. J. Solids Struct. 43: 3657-3674
    • (2006) Int. J. Solids Struct. , vol.43 , pp. 3657-3674
    • Chi, S.H.1    Chung, Y.L.2
  • 21
    • 33646513704 scopus 로고    scopus 로고
    • Mechanical behavior of functionally graded material plates under transverse load - Part II: Numerical results
    • Chi S. H. and Chung Y. L. (2006). Mechanical behavior of functionally graded material plates under transverse load - Part II: Numerical results. Int. J. Solids Struct. 43: 3675-3691
    • (2006) Int. J. Solids Struct. , vol.43 , pp. 3675-3691
    • Chi, S.H.1    Chung, Y.L.2
  • 22
    • 0033099761 scopus 로고    scopus 로고
    • Axisymmetric bending of functionally graded circular and annular plates
    • Reddy J. N., Wang C. M. and Kitipornchai S. (1999). Axisymmetric bending of functionally graded circular and annular plates. Euro. J. Mech. A/Solids 18: 185-199
    • (1999) Euro. J. Mech. A/Solids , vol.18 , pp. 185-199
    • Reddy, J.N.1    Wang, C.M.2    Kitipornchai, S.3
  • 23
    • 0033908920 scopus 로고    scopus 로고
    • Analysis of functionally graded plates
    • Reddy J. N. (2000). Analysis of functionally graded plates. Int. J. Numer. Engng. 47: 663-684
    • (2000) Int. J. Numer. Engng. , vol.47 , pp. 663-684
    • Reddy, J.N.1
  • 24
    • 0344413792 scopus 로고    scopus 로고
    • Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory
    • Ma L. S. and Wang T. J. (2004). Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory. Int. J. Solids Struct. 41: 85-101
    • (2004) Int. J. Solids Struct. , vol.41 , pp. 85-101
    • Ma, L.S.1    Wang, T.J.2
  • 25
    • 0029214113 scopus 로고
    • A coupled higher-order theory for functionally graded composites with partial homogenization
    • Aboudi J., Pindera M. J. and Arnold S. M. (1995). A coupled higher-order theory for functionally graded composites with partial homogenization. Compos. Engng. 5: 771-792
    • (1995) Compos. Engng. , vol.5 , pp. 771-792
    • Aboudi, J.1    Pindera, M.J.2    Arnold, S.M.3
  • 26
    • 0033327727 scopus 로고    scopus 로고
    • Higher-order theory for functionally graded materials
    • 8
    • Aboudi J., Pindera M. J. and Arnold S. M. (1999). Higher-order theory for functionally graded materials. Compos. Part B. 30(8): 777-832
    • (1999) Compos. Part B. , vol.30 , pp. 777-832
    • Aboudi, J.1    Pindera, M.J.2    Arnold, S.M.3
  • 27
    • 33646773992 scopus 로고    scopus 로고
    • A higher-order theory and refined three-node triangular element for functionally graded plates
    • Wu Z. and Chen W. J. (2006). A higher-order theory and refined three-node triangular element for functionally graded plates. Euro. J. Mech. A/Solids 25: 447-463
    • (2006) Euro. J. Mech. A/Solids , vol.25 , pp. 447-463
    • Wu, Z.1    Chen, W.J.2
  • 28
    • 4043179119 scopus 로고    scopus 로고
    • Transient thermoelastic deformations of a thick functionally graded plate
    • Qian L. F. and Batra R. C. (2004). Transient thermoelastic deformations of a thick functionally graded plate. J. Thermal Stresses 27: 705-740
    • (2004) J. Thermal Stresses , vol.27 , pp. 705-740
    • Qian, L.F.1    Batra, R.C.2
  • 29
    • 85010190064 scopus 로고    scopus 로고
    • Static and dynamic deformations of a thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method
    • Qian L. F., Batra R. C. and Chen L. M. (2004). Static and dynamic deformations of a thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method. Compos. Part B 35: 85-697
    • (2004) Compos. Part B , vol.35 , pp. 85-697
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 30
    • 33847648493 scopus 로고    scopus 로고
    • Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions
    • (in press) DOI: 10.1016/j.compstruct 2006.07.007
    • Gilhooley, D. F., Batra, R. C., Xiao, J. R., McCarthy, M. A., Gillespie, J. W. Jr: Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions. Compos. Struct. (in press) DOI: 10.1016/j.compstruct 2006.07.007
    • Compos. Struct.
    • Gilhooley, D.F.1    Batra, R.C.2    Xiao, J.R.3    McCarthy, M.A.4    Gillespie Jr., J.W.5
  • 31
    • 0347415770 scopus 로고    scopus 로고
    • Complex potential formalisms for bending of inhomogeneous monoclinic plates including transverse shear deformation
    • Soldatos K. P. (2004). Complex potential formalisms for bending of inhomogeneous monoclinic plates including transverse shear deformation. J. Mech. Phys. Solids 52: 341-357
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 341-357
    • Soldatos, K.P.1
  • 32
    • 0036640788 scopus 로고    scopus 로고
    • Exact solution for thermoelastic deformation of functionally graded thick rectangular plates
    • Vel S. S. and Batra R. C. (2002). Exact solution for thermoelastic deformation of functionally graded thick rectangular plates. AIAA J. 40: 1421-1433
    • (2002) AIAA J. , vol.40 , pp. 1421-1433
    • Vel, S.S.1    Batra, R.C.2
  • 33
    • 0032289529 scopus 로고    scopus 로고
    • Exact solutions for functionally graded and laminated elastic materials
    • Mian A. M. and Spencer A. J. M. (1998). Exact solutions for functionally graded and laminated elastic materials. J. Mech. Phys. Solids 42: 2283-2295
    • (1998) J. Mech. Phys. Solids , vol.42 , pp. 2283-2295
    • Mian, A.M.1    Spencer, A.J.M.2
  • 34
    • 12344328662 scopus 로고    scopus 로고
    • Three-dimensional elastic solutions for bending of functionally graded rectangular plates
    • Kashtalyan M. (2004). Three-dimensional elastic solutions for bending of functionally graded rectangular plates. Euro. J. Mech. A/Solids 23: 853-864
    • (2004) Euro. J. Mech. A/Solids , vol.23 , pp. 853-864
    • Kashtalyan, M.1
  • 35
    • 0035442274 scopus 로고    scopus 로고
    • Three-dimensional thermomechanical deformations of functionally graded rectangular plates
    • Reddy J. N. and Cheng Z. Q. (2001). Three-dimensional thermomechanical deformations of functionally graded rectangular plates. Euro. J. Mech. A/Solids 20: 841-855
    • (2001) Euro. J. Mech. A/Solids , vol.20 , pp. 841-855
    • Reddy, J.N.1    Cheng, Z.Q.2
  • 36
    • 0001228130 scopus 로고    scopus 로고
    • Three-dimensional solutions of smart functionally graded plates
    • Reddy J. N. and Cheng Z. Q. (2001). Three-dimensional solutions of smart functionally graded plates. J. Appl. Mech. 68: 234-241
    • (2001) J. Appl. Mech. , vol.68 , pp. 234-241
    • Reddy, J.N.1    Cheng, Z.Q.2
  • 37
    • 0033887137 scopus 로고    scopus 로고
    • Three-dimensional thermoelastic deformations of a functionally graded elliptic plate
    • Cheng Z. G. and Batra R. C. (2000). Three-dimensional thermoelastic deformations of a functionally graded elliptic plate. Compos. Part B 31: 97-106
    • (2000) Compos. Part B , vol.31 , pp. 97-106
    • Cheng, Z.G.1    Batra, R.C.2
  • 38
    • 0034361502 scopus 로고    scopus 로고
    • Bending of functionally graded piezoelectric rectangular plates
    • Chen W. Q. and Ding H. J. (2000). Bending of functionally graded piezoelectric rectangular plates. Acta Mech. Solida Sinica 13: 312-319
    • (2000) Acta Mech. Solida Sinica , vol.13 , pp. 312-319
    • Chen, W.Q.1    Ding, H.J.2
  • 39
    • 0037966324 scopus 로고    scopus 로고
    • Three-dimensional analysis of a thick FGM rectangular plate in thermal environment
    • Chen W. Q., Bian Z. G. and Ding H. J. (2003). Three-dimensional analysis of a thick FGM rectangular plate in thermal environment. J. Zhejiang Univ. (SCIENCE) 4: 1-7
    • (2003) J. Zhejiang Univ. (SCIENCE) , vol.4 , pp. 1-7
    • Chen, W.Q.1    Bian, Z.G.2    Ding, H.J.3
  • 40
    • 0041854232 scopus 로고    scopus 로고
    • Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate
    • Zhong Z. and Shang E. T. (2003). Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate. Int. J. Solids Struct. 40: 5335-5352
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 5335-5352
    • Zhong, Z.1    Shang, E.T.2
  • 41
    • 0029313458 scopus 로고
    • Some basic thermo-elastic problems for non-homogeneous structural material
    • Tanigawa Y. (1995). Some basic thermo-elastic problems for non-homogeneous structural material. Appl. Mech. Rev. 48: 287-300
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 287-300
    • Tanigawa, Y.1
  • 44
    • 5244366058 scopus 로고
    • Achsensymmetrische Deformation von Umdrehungskörpern
    • (in German)
    • Timple A. (1924). Achsensymmetrische Deformation von Umdrehungskö rpern. Z. Angew. Math. Mech. 4: 361-376
    • (1924) Z. Angew. Math. Mech. , vol.4 , pp. 361-376
    • Timple, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.