메뉴 건너뛰기




Volumn 37, Issue 21, 2003, Pages 1903-1920

Exact Solution for Functionally Graded Anisotropic Elastic Composite Laminates

Author keywords

Anisotropic elasticity; Composite laminate; Exact three dimensional solution; Functionally graded material; Simply supported plate

Indexed keywords

COMPRESSIVE STRESS; ELASTICITY; FUNCTIONALLY GRADED MATERIALS; NUMERICAL METHODS; RESIDUAL STRESSES; STRESS CONCENTRATION; TENSILE STRESS;

EID: 0242527354     PISSN: 00219983     EISSN: None     Source Type: Journal    
DOI: 10.1177/002199803035565     Document Type: Article
Times cited : (172)

References (51)
  • 1
    • 84965919292 scopus 로고
    • Interlaminar Stresses in Composite Laminates under Uniform Axial Extensions
    • Pipes, R.B. and Pagano, N.J. (1970). Interlaminar Stresses in Composite Laminates under Uniform Axial Extensions, Journal of Composite Materials, 4: 538-548.
    • (1970) Journal of Composite Materials , vol.4 , pp. 538-548
    • Pipes, R.B.1    Pagano, N.J.2
  • 2
    • 0016102921 scopus 로고
    • Interlaminar Stresses in Composite Laminates - An Approximate Elasticity Solution
    • Pipes, R.B. and Pagano, N.J. (1974). Interlaminar Stresses in Composite Laminates - An Approximate Elasticity Solution, Journal of Applied Mechanics, 41: 668-672.
    • (1974) Journal of Applied Mechanics , vol.41 , pp. 668-672
    • Pipes, R.B.1    Pagano, N.J.2
  • 3
    • 0015982498 scopus 로고
    • On the Calculation of Interlaminar Normal Stress in Composite Laminate
    • Pagano, N.J. (1974). On the Calculation of Interlaminar Normal Stress in Composite Laminate, Journal of Composite Materials, 8: 65-81.
    • (1974) Journal of Composite Materials , vol.8 , pp. 65-81
    • Pagano, N.J.1
  • 4
    • 0029215663 scopus 로고
    • Fracture Mechanics of Functionally Graded Materials
    • Erdogan, F. (1995). Fracture Mechanics of Functionally Graded Materials, Composites Engineering, 5: 753-770.
    • (1995) Composites Engineering , vol.5 , pp. 753-770
    • Erdogan, F.1
  • 6
    • 0035968012 scopus 로고    scopus 로고
    • Graded Materials for Resistance to Contact Deformation and Damage
    • Suresh, S. (2001). Graded Materials for Resistance to Contact Deformation and Damage, Science, 292: 2447-2451.
    • (2001) Science , vol.292 , pp. 2447-2451
    • Suresh, S.1
  • 7
    • 0025556925 scopus 로고
    • Recent Development Status of Functionally Graded Materials
    • Niino, M. and Maeda, S. (1990). Recent Development Status of Functionally Graded Materials, I. S. I. J. Int., 30: 699-703.
    • (1990) I.S.I.J. Int. , vol.30 , pp. 699-703
    • Niino, M.1    Maeda, S.2
  • 8
    • 0020816016 scopus 로고
    • The Crack Problem for a Nonhomogeneous Plane
    • Delale, F. and Erdogan, F. (1983). The Crack Problem for a Nonhomogeneous Plane, J. Appl. Mech., 50: 609-614.
    • (1983) J. Appl. Mech. , vol.50 , pp. 609-614
    • Delale, F.1    Erdogan, F.2
  • 9
    • 0023843866 scopus 로고
    • Interface Crack in a Non-homogeneous Elastic Medium
    • Delale, F. and Erdogan, F. (1988). Interface Crack in a Non-homogeneous Elastic Medium, Int. J. Eng. Sci., 26: 559-568.
    • (1988) Int. J. Eng. Sci. , vol.26 , pp. 559-568
    • Delale, F.1    Erdogan, F.2
  • 10
    • 0028496530 scopus 로고
    • Crack-tip Singular Fields in Nonhomogeneous Materials
    • Jin, Z.H. and Noda, N. (1994). Crack-tip Singular Fields in Nonhomogeneous Materials, J. Appl. Mech., 61: 738-740.
    • (1994) J. Appl. Mech. , vol.61 , pp. 738-740
    • Jin, Z.H.1    Noda, N.2
  • 11
    • 0030216736 scopus 로고    scopus 로고
    • Some Basic Fracture Mechanics Concepts in Functionally Graded Materials
    • Jin, Z.H. and Batra, R.C. (1996). Some Basic Fracture Mechanics Concepts in Functionally Graded Materials, J. Mech. Phys. Solids, 44: 1221-1235.
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 1221-1235
    • Jin, Z.H.1    Batra, R.C.2
  • 12
    • 0004346222 scopus 로고
    • Thermo-inelastic Response of Functionally Graded Composites
    • Aboudi, J., Pindera, M.J. and Arnold, S.M. (1995). Thermo-inelastic Response of Functionally Graded Composites, Int. J. Solids and Structures, 32: 1675-1710.
    • (1995) Int. J. Solids and Structures , vol.32 , pp. 1675-1710
    • Aboudi, J.1    Pindera, M.J.2    Arnold, S.M.3
  • 13
    • 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, Composites Engineering, 52: 771-792.
    • (1995) Composites Engineering , vol.52 , pp. 771-792
    • Aboudi, J.1    Pindera, M.J.2    Arnold, S.M.3
  • 14
    • 0030714797 scopus 로고    scopus 로고
    • Microstructural Optimization of Functionally Graded Composites Subjected to a Thermal Gradient via the Coupled Higher-order Theory
    • Aboudi, J., Pindera, M.J. and Arnold, S.M. (1997). Microstructural Optimization of Functionally Graded Composites Subjected to a Thermal Gradient via the Coupled Higher-order Theory, Composites Part B-Engineering, 28: 93-108.
    • (1997) Composites Part B-Engineering , vol.28 , pp. 93-108
    • Aboudi, J.1    Pindera, M.J.2    Arnold, S.M.3
  • 16
    • 0000232912 scopus 로고    scopus 로고
    • Correspondence Principle in Viscoelastic Functionally Graded Materials
    • Paulino, G.H. and Jin, Z.H. (2001). Correspondence Principle in Viscoelastic Functionally Graded Materials, J. Appl. Mech., 68: 129-132.
    • (2001) J. Appl. Mech. , vol.68 , pp. 129-132
    • Paulino, G.H.1    Jin, Z.H.2
  • 17
    • 0000977091 scopus 로고    scopus 로고
    • Viscoelastic Functionally Graded Materials Subjected to Antiplane Shear Fracture
    • Paulino, G.H. and Jin, Z.H. (2001). Viscoelastic Functionally Graded Materials Subjected to Antiplane Shear Fracture, J. Appl. Mech., 68: 284-293.
    • (2001) J. Appl. Mech. , vol.68 , pp. 284-293
    • Paulino, G.H.1    Jin, Z.H.2
  • 18
    • 0036505188 scopus 로고    scopus 로고
    • Evaluation of Crack-tip Fields and Stress Intensity Factors in Functionally Graded Elastic Materials: Cracks Parallel to Elastic Gradient
    • Rousseau, C.E. and Tippur, H.V. (2002). Evaluation of Crack-tip Fields and Stress Intensity Factors in Functionally Graded Elastic Materials: Cracks Parallel to Elastic Gradient, Int. J. Fracture, 114: 87-111.
    • (2002) Int. J. Fracture , vol.114 , pp. 87-111
    • Rousseau, C.E.1    Tippur, H.V.2
  • 19
    • 0037198013 scopus 로고    scopus 로고
    • On the Computation of Mixed-mode Stress Intensity Factors in Functionally Graded Materials
    • Dolbow, J.E. and Gosz, M. (2002). On the Computation of Mixed-mode Stress Intensity Factors in Functionally Graded Materials, Int. J. Solids Struct., 39: 2557-2574.
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 2557-2574
    • Dolbow, J.E.1    Gosz, M.2
  • 20
    • 0036717869 scopus 로고    scopus 로고
    • Mixed-mode Fracture of Orthotropic Functionally Graded Materials Using the Finite Element Method
    • Paulino, G.H. and Kim, J.H. (2002). Mixed-mode Fracture of Orthotropic Functionally Graded Materials Using the Finite Element Method, Eng. Fract. Mech., 69: 1557-1586.
    • (2002) Eng. Fract. Mech. , vol.69 , pp. 1557-1586
    • Paulino, G.H.1    Kim, J.H.2
  • 21
    • 0036660685 scopus 로고    scopus 로고
    • Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials
    • Paulino, G.H. and Kim, J.H. (2002). Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials, J. Appl. Mech., 69: 502-514.
    • (2002) J. Appl. Mech. , vol.69 , pp. 502-514
    • Paulino, G.H.1    Kim, J.H.2
  • 22
    • 0037139403 scopus 로고    scopus 로고
    • Finite Element Evaluation of Mixed-mode Stress Intensity Factors in Functionally Graded Materials
    • Paulino, G.H. and Kim, J.H. (2002). Finite Element Evaluation of Mixed-mode Stress Intensity Factors in Functionally Graded Materials, Int. J. Num. Meth. Eng., 53: 1903-1935.
    • (2002) Int. J. Num. Meth. Eng. , vol.53 , pp. 1903-1935
    • Paulino, G.H.1    Kim, J.H.2
  • 23
    • 0036588527 scopus 로고    scopus 로고
    • Finite Element Investigation of Quasistatic Crack Growth in Functionally Graded Materials Using a Novel Cohesive Zone Fracture Model
    • Jin, Z.H., Paulino, G.H. and Dodds, Jr. R.H. (2002). Finite Element Investigation of Quasistatic Crack Growth in Functionally Graded Materials Using a Novel Cohesive Zone Fracture Model, J. Appl. Mech., 69: 370-379.
    • (2002) J. Appl. Mech. , vol.69 , pp. 370-379
    • Jin, Z.H.1    Paulino, G.H.2    Dodds, Jr.R.H.3
  • 24
    • 0033148434 scopus 로고    scopus 로고
    • Analysis of the Driving Forces for Multiple Cracks in Infinite Non-homogeneous Plate, Part I: Analysis
    • Shbeeb, N.I., Binienda, W.K. and Kreider, K.L. (1999). Analysis of the Driving Forces for Multiple Cracks in Infinite Non-homogeneous Plate, Part I: Analysis, J. Appl. Mech., 66: 492-500.
    • (1999) J. Appl. Mech. , vol.66 , pp. 492-500
    • Shbeeb, N.I.1    Binienda, W.K.2    Kreider, K.L.3
  • 25
    • 0033149106 scopus 로고    scopus 로고
    • Analysis of the Driving Forces for Multiple Cracks in Infinite Non-homogeneous Plate, Part II: Parametric Study
    • Shbeeb, N.I., Binienda, W.K. and Kreider, K.L. (1999). Analysis of the Driving Forces for Multiple Cracks in Infinite Non-homogeneous Plate, Part II: Parametric Study, J. Appl. Mech., 66: 501-506.
    • (1999) J. Appl. Mech. , vol.66 , pp. 501-506
    • Shbeeb, N.I.1    Binienda, W.K.2    Kreider, K.L.3
  • 26
    • 0034228211 scopus 로고    scopus 로고
    • Analysis of the Driving Force for a Generally Oriented Crack in a Functionally Graded Strip Sandwiched Between Two Homogeneous Half Planes
    • Shbeeb, N.I., Binienda, W.K. and Kreider, K.L. (2000). Analysis of the Driving Force for a Generally Oriented Crack in a Functionally Graded Strip Sandwiched Between Two Homogeneous Half Planes, Int. J. Fracture, 104: 23-50.
    • (2000) Int. J. Fracture , vol.104 , pp. 23-50
    • Shbeeb, N.I.1    Binienda, W.K.2    Kreider, K.L.3
  • 27
    • 0036739295 scopus 로고    scopus 로고
    • A Surface Crack in a Graded Medium under General Loading Conditions
    • Dag, S. and Erdogan, F. (2002). A Surface Crack in a Graded Medium under General Loading Conditions, J. Appl. Mech., 69: 580-588.
    • (2002) J. Appl. Mech. , vol.69 , pp. 580-588
    • Dag, S.1    Erdogan, F.2
  • 28
    • 0022267214 scopus 로고
    • The Behavior of an Elastic Non-homogeneous Half-Space. Part I - Line and Point Loads
    • Booker, J.R., Balaam, N.P. and Davis, E.H. (1985). The Behavior of an Elastic Non-homogeneous Half-Space. Part I - Line and Point Loads, Int. J. Numer. Analy. Meth. Geomech., 9: 353-367.
    • (1985) Int. J. Numer. Analy. Meth. Geomech. , vol.9 , pp. 353-367
    • Booker, J.R.1    Balaam, N.P.2    Davis, E.H.3
  • 29
    • 0009963597 scopus 로고
    • Green's Tensor and its Potentials for Inhomogeneous Elastic Media
    • Ben-Menahem, A. (1987). Green's Tensor and its Potentials for Inhomogeneous Elastic Media, Proc. R. Soc. Lond., A409: 287-327.
    • (1987) Proc. R. Soc. Lond. , vol.A409 , pp. 287-327
    • Ben-Menahem, A.1
  • 30
    • 0031194967 scopus 로고    scopus 로고
    • Indentation of Solids with Gradients in Elastic Properties: Part I. Point Force
    • Giannakopoulos, A.E. and Suresh, S. (1997). Indentation of Solids with Gradients in Elastic Properties: Part I. Point Force, Int. J. Solids Struct., 34: 2357-2392.
    • (1997) Int. J. Solids Struct. , vol.34 , pp. 2357-2392
    • Giannakopoulos, A.E.1    Suresh, S.2
  • 31
    • 0035612283 scopus 로고    scopus 로고
    • Green's Function Approach to Three-dimensional Heat Conduction Equation of Functionally Graded Materials
    • Kim, K.S. and Noda, N. (2001). Green's Function Approach to Three-dimensional Heat Conduction Equation of Functionally Graded Materials, J. Thermal Stresses, 24: 457-477.
    • (2001) J. Thermal Stresses , vol.24 , pp. 457-477
    • Kim, K.S.1    Noda, N.2
  • 32
    • 0141606209 scopus 로고    scopus 로고
    • Green's Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction
    • in press
    • Gray, L.J., Kaplan, T., Richardson, J.D., and Paulino, G.H. (2003). Green's Functions and Boundary Integral Analysis for Exponentially Graded Materials: Heat Conduction, J. Appl. Mech., (in press).
    • (2003) J. Appl. Mech.
    • Gray, L.J.1    Kaplan, T.2    Richardson, J.D.3    Paulino, G.H.4
  • 33
    • 67049113975 scopus 로고    scopus 로고
    • On Green's Function for a Three-dimensional Exponentially-Graded Elastic Solid
    • Martin, P.A., Richardson, J.D., Gray, L.J. and Berger, J.R. (2002). On Green's Function for a Three-dimensional Exponentially-Graded Elastic Solid, Proc. R. Soc. Lond., A458: 1931-1948.
    • (2002) Proc. R. Soc. Lond. , vol.A458 , pp. 1931-1948
    • Martin, P.A.1    Richardson, J.D.2    Gray, L.J.3    Berger, J.R.4
  • 34
    • 0042766803 scopus 로고    scopus 로고
    • Displacements and Stresses due to a Vertical Point Load in an inhomogeneous Transversely Isotropic Half-space
    • in press
    • Wang, C.D., Tzeng, C.S., Pan, E. and Liao, J.J. (2003). Displacements and Stresses due to a Vertical Point Load in an inhomogeneous Transversely Isotropic Half-space, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., (in press).
    • (2003) Int. J. Rock Mech. Min. Sci. & Geomech. Abstr.
    • Wang, C.D.1    Tzeng, C.S.2    Pan, E.3    Liao, J.J.4
  • 35
    • 0033281093 scopus 로고    scopus 로고
    • The Pressurized Hollow Cylinder or Disk Problem for Functionally Graded Isotropic Linearly Elastic Materials
    • Horgan, C.O. and Chan, A.M. (1999). The Pressurized Hollow Cylinder or Disk Problem for Functionally Graded Isotropic Linearly Elastic Materials, J. Elasticity, 55: 43-59.
    • (1999) J. Elasticity , vol.55 , pp. 43-59
    • Horgan, C.O.1    Chan, A.M.2
  • 36
    • 0036640788 scopus 로고    scopus 로고
    • Exact Solution for Thermoelastic Deformations of Functionally Graded Thick Rectangular Plates
    • Vel, S.S. and Batra, R.C. (2002). Exact Solution for Thermoelastic Deformations of Functionally Graded Thick Rectangular Plates, AIAA Journal, 40: 1421-1433.
    • (2002) AIAA Journal , vol.40 , pp. 1421-1433
    • Vel, S.S.1    Batra, R.C.2
  • 37
    • 84964144652 scopus 로고
    • Exact Solutions for Composites in Cylindrical Bending
    • Pagano, N.J. (1969). Exact Solutions for Composites in Cylindrical Bending, Journal of Composite Materials, 3: 398-411.
    • (1969) Journal of Composite Materials , vol.3 , pp. 398-411
    • Pagano, N.J.1
  • 38
    • 0014728757 scopus 로고
    • Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates
    • Pagano, N.J. (1970). Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates, Journal of Composite Materials, 4: 20-34.
    • (1970) Journal of Composite Materials , vol.4 , pp. 20-34
    • Pagano, N.J.1
  • 39
    • 84924343758 scopus 로고
    • Dislocations and Cracks in Anisotropic Elasticity
    • Stroh, A.N. (1958). Dislocations and Cracks in Anisotropic Elasticity, Phil. Mag., 3: 625-646.
    • (1958) Phil. Mag. , vol.3 , pp. 625-646
    • Stroh, A.N.1
  • 41
    • 0033883032 scopus 로고    scopus 로고
    • Recent Developments in Anisotropic Elasticity
    • Ting, T.C.T. (2000). Recent Developments in Anisotropic Elasticity, Int. J. Solids Structures, 37: 401-409.
    • (2000) Int. J. Solids Structures , vol.37 , pp. 401-409
    • Ting, T.C.T.1
  • 42
    • 0000583895 scopus 로고
    • Propagator Matrices in Elastic Wave and Vibration Problems
    • Gilbert, F. and Backus, G. (1966). Propagator Matrices in Elastic Wave and Vibration Problems, Geophys., 31: 326-332.
    • (1966) Geophys. , vol.31 , pp. 326-332
    • Gilbert, F.1    Backus, G.2
  • 43
    • 0031207919 scopus 로고    scopus 로고
    • Static Green's Functions in Multilayered Half Spaces
    • Pan, E. (1997). Static Green's Functions in Multilayered Half Spaces, Appl. Math. Modelling, 21: 509-521.
    • (1997) Appl. Math. Modelling , vol.21 , pp. 509-521
    • Pan, E.1
  • 45
    • 0035091779 scopus 로고    scopus 로고
    • Stress Analysis around Holes in Composite Laminates Using Boundary Element Method
    • Pan, E., Yang, B., Cai, G. and Yuan, F.G. (2001). Stress Analysis around Holes in Composite Laminates Using Boundary Element Method, Eng. Anal. Bound. Elements, 25: 31-40.
    • (2001) Eng. Anal. Bound. Elements , vol.25 , pp. 31-40
    • Pan, E.1    Yang, B.2    Cai, G.3    Yuan, F.G.4
  • 46
    • 0000903135 scopus 로고    scopus 로고
    • Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates
    • Pan, E. (2001). Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates, Journal of Applied Mechanics, 68: 608-618.
    • (2001) Journal of Applied Mechanics , vol.68 , pp. 608-618
    • Pan, E.1
  • 47
    • 0031544656 scopus 로고    scopus 로고
    • A General Boundary Element Analysis of 2-D Linear Elastic Fracture Mechanics
    • Pan, E. (1997). A General Boundary Element Analysis of 2-D Linear Elastic Fracture Mechanics, Int. J. Fracture, 88: 41-59.
    • (1997) Int. J. Fracture , vol.88 , pp. 41-59
    • Pan, E.1
  • 48
    • 0031163009 scopus 로고    scopus 로고
    • Exact Solutions for Simply Supported Laminated Piezoelectric Plates
    • Heyliger, P. (1997). Exact Solutions for Simply Supported Laminated Piezoelectric Plates, Journal of Applied Mechanics, 64: 299-306.
    • (1997) Journal of Applied Mechanics , vol.64 , pp. 299-306
    • Heyliger, P.1
  • 50
    • 0000343688 scopus 로고    scopus 로고
    • An Exact Three-dimensional Solution for Simply Supported Rectangular Piezoelectric Plates
    • Bisegna, P. and Maceri, F. (1996). An Exact Three-dimensional Solution for Simply Supported Rectangular Piezoelectric Plates, J. Appl. Mech., 63: 628-638.
    • (1996) J. Appl. Mech. , vol.63 , pp. 628-638
    • Bisegna, P.1    Maceri, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.