메뉴 건너뛰기




Volumn 35, Issue 11, 2011, Pages 1168-1180

Three dimensional static and dynamic analysis of thick functionally graded plates by the meshless local PetrovGalerkin (MLPG) method

Author keywords

Meshless local PetrovGalerkin method; Static and dynamic analysis; Thick functionally graded plates; Three dimensional moving least square approximation

Indexed keywords

DEFLECTION AND STRESS; EFFECTIVE MATERIAL PROPERTY; EQUILIBRIUM EQUATION; FIELD VARIABLES; FUNCTIONALLY GRADED PLATES; GOVERNING EQUATIONS; HEAVISIDE STEP FUNCTION; HOMOGENIZATION TECHNIQUES; LEAST SQUARES; LOCAL INTEGRAL EQUATIONS; LOCAL WEAK FORM; MATERIAL GRADIENTS; MESH-LESS METHODS; MESHLESS APPROXIMATION; MESHLESS LOCAL PETROV-GALERKIN; MESHLESS LOCAL PETROV-GALERKIN METHOD; MESHLESS LOCAL PETROV-GALERKIN METHODS; MORI-TANAKA; NODAL POINTS; NUMERICAL EFFICIENCY; NUMERICAL EXAMPLE; PLATE THICKNESS; PROBLEM DOMAIN; SECOND ORDERS; SHAPE FUNCTIONS; SINGULAR INTEGRAL; STATIC AND DYNAMIC ANALYSIS; STATIC AND DYNAMIC RESPONSE; SUB-DOMAINS; SUBDOMAIN; TEST FUNCTIONS; THICKNESS DIRECTION; THREE-DIMENSIONAL (3D); TIME INTEGRATION METHODS; WEAK FORMULATION;

EID: 79959641941     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2011.05.011     Document Type: Article
Times cited : (52)

References (60)
  • 3
    • 0034652753 scopus 로고    scopus 로고
    • Functionally graded diamond-like carbon coatings on metallic substrates
    • DOI 10.1016/S0921-5093(99)00569-9, PII S0921509399005699
    • K.L. Choy, and E. Felix Functionally graded diamond-like carbon coatings on metallic substrates Mater Sci Eng 278 2000 162 169 (Pubitemid 30113219)
    • (2000) Materials Science and Engineering A , vol.278 , Issue.1-2 , pp. 162-169
    • Choy, K.-L.1    Felix, E.2
  • 6
    • 84975888288 scopus 로고
    • Microstructure and composition of alumina/aluminum composites made by the directed oxidation of aluminum
    • E. Breval, K. Aghajanian, and S.J. Luszcz Microstructure and composition of alumina/aluminum composites made by the directed oxidation of aluminum J Am Ceram Soc 73 1990 2610 2614
    • (1990) J Am Ceram Soc , vol.73 , pp. 2610-2614
    • Breval, E.1    Aghajanian, K.2    Luszcz, S.J.3
  • 8
    • 0032289529 scopus 로고    scopus 로고
    • Exact solutions for functionally graded and laminated elastic materials
    • PII S0022509698000489
    • A.M. Mian, and A.J.M. Spencer Exact solutions for functionally graded and laminated elastic materials J Mech Phys Solids 46 1998 2283 2295 (Pubitemid 128425883)
    • (1998) Journal of the Mechanics and Physics of Solids , vol.46 , Issue.12 , pp. 2283-2295
    • Abid Mian, M.1    Spencer, A.J.M.2
  • 10
    • 0000131902 scopus 로고    scopus 로고
    • Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories
    • Z.Q. Cheng, and R.C. Batra Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories Arch Mech 52 2000 143 158
    • (2000) Arch Mech , vol.52 , pp. 143-158
    • Cheng, Z.Q.1    Batra, R.C.2
  • 11
    • 0036640788 scopus 로고    scopus 로고
    • Exact solution for thermoelastic deformations of functionally graded thick rectangular plates
    • S.S. Vel, and R.C. Batra Exact solution for thermoelastic deformations of functionally graded thick rectangular plates AIAA J 40 2002 1421 1433 (Pubitemid 34799630)
    • (2002) AIAA Journal , vol.40 , Issue.7 , pp. 1421-1433
    • Vel, S.S.1    Batra, R.C.2
  • 12
    • 0242337694 scopus 로고    scopus 로고
    • Three-dimensional analysis of transient thermal stresses in functionally graded plates
    • DOI 10.1016/S0020-7683(03)00361-5
    • S.S. Vel, and R.C. Batra Three-dimensional analysis of transient thermal stresses in functionally graded rectangular plates Int J Solids Struct 40 2003 7181 7196 (Pubitemid 37332696)
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.25 , pp. 7181-7196
    • Vel, S.S.1    Batra, R.C.2
  • 13
    • 2142713821 scopus 로고    scopus 로고
    • Three-dimensional exact solution for the vibration of functionally graded rectangular plates
    • S.S. Vel, and Batra Three-dimensional exact solution for the vibration of functionally graded rectangular plates J Sound Vib 272 2004 703 730
    • (2004) J Sound Vib , vol.272 , pp. 703-730
    • Vel, S.S.1    Batra2
  • 18
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
    • H. Wendland Piecewise polynomial positive definite and compactly supported radial basis functions of minimal degree Adv Comput Meth 4 1995 389 396 (Pubitemid 126012128)
    • (1995) Advances in Computational Mathematics , vol.4 , Issue.4 , pp. 389-396
    • Wendland, H.1
  • 19
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • B. Nayroles, G. Touzot, and P. Villon Generalizing the finite element method: diffuse approximation and diffuse elements Comput Mech 10 1992 307 318 (Pubitemid 23570159)
    • (1992) Computational Mechanics , vol.10 , Issue.5 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 21
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • L.B. Lucy A numerical approach to the testing of the fission hypothesis Astronom J 82 1977 1013 1024
    • (1977) Astronom J , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 23
    • 5444259294 scopus 로고    scopus 로고
    • Modified smoothed particle hydrodynamics method and its application to transient problems
    • G.M. Zhang, and R.C. Batra Modified smoothed particle hydrodynamics method and its application to transient problems Comput Mech 34 2004 137 146
    • (2004) Comput Mech , vol.34 , pp. 137-146
    • Zhang, G.M.1    Batra, R.C.2
  • 24
    • 0032136132 scopus 로고    scopus 로고
    • A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
    • S.N. Atluri, and T. Zhu A new meshless local PetrovGalerkin (MLPG) approach in computational mechanics Comput Mech 22 1998 117 127 (Pubitemid 128620889)
    • (1998) Computational Mechanics , vol.22 , Issue.2 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 25
    • 0033334001 scopus 로고    scopus 로고
    • Critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods
    • DOI 10.1007/s004660050457
    • S.N. Atluri, H.G. Kim, and J.Y. Cho A critical assessment of the truly meshless local PetrovGalerkin (MLPG), and local boundary integral equation (LBIE) methods Comput Mech 24 1999 348 372 (Pubitemid 30546709)
    • (1999) Computational Mechanics , vol.24 , Issue.5 , pp. 348-372
    • Atluri, S.N.1    Kim, H.-G.2    Cho, J.Y.3
  • 26
    • 0033872785 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
    • S.N. Atluri, and T. Zhu The meshless local PetrovGalerkin (MLPG) approach for solving problems in elasto-statics Comput Mech 25 2000 169 179 (Pubitemid 30593735)
    • (2000) Computational Mechanics , vol.25 , Issue.2 , pp. 169-179
    • Atluri, S.N.1    Zhu, T.-L.2
  • 28
    • 2642549394 scopus 로고    scopus 로고
    • Analysis of elastodynamic deformation near a crack/notch tip by the meshless local PetrovGalerkin (MLPG) method
    • R.C. Batra, and H.K. Ching Analysis of elastodynamic deformation near a crack/notch tip by the meshless local PetrovGalerkin (MLPG) method CMES: Comput Modeling Eng Sci 3 2002 717 730
    • (2002) CMES: Comput Modeling Eng Sci , vol.3 , pp. 717-730
    • Batra, R.C.1    Ching, H.K.2
  • 29
    • 0037906184 scopus 로고    scopus 로고
    • The Meshless Local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations
    • H. Lin, and S.N. Atluri The meshless local PetrovGalerkin (MLPG) method for solving incompressible NavierStokes equations CMES: Comput Modeling Eng Sci 2 2001 117 142 (Pubitemid 33626565)
    • (2001) CMES - Computer Modeling in Engineering and Sciences , vol.2 , Issue.2 , pp. 117-142
    • Lin, H.1    Atluri, S.N.2
  • 30
    • 0005843312 scopus 로고    scopus 로고
    • Meshless local PetrovGalerkin (MLPG) method for convection-diffusion problems
    • H. Lin, and S.N. Atluri Meshless local PetrovGalerkin (MLPG) method for convection-diffusion problems CMES: Comput Modeling Eng Sci 1 2000 45 60
    • (2000) CMES: Comput Modeling Eng Sci , vol.1 , pp. 45-60
    • Lin, H.1    Atluri, S.N.2
  • 31
    • 0042350804 scopus 로고    scopus 로고
    • A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity
    • J. Sladek, V. Sladek, and S.N. Atluri A pure contour formulation for the meshless local boundary intergral equation method in thermoelasticity CMES: Comput Modeling Eng Sci 2 2001 423 433 (Pubitemid 33620140)
    • (2001) CMES - Computer Modeling in Engineering and Sciences , vol.2 , Issue.4 , pp. 423-433
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 32
    • 0033353654 scopus 로고    scopus 로고
    • Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations
    • DOI 10.1007/s004660050456
    • S.N. Atluri, J.Y. Cho, and H.G. Kim Analysis of thin beams, using the meshless local PetrovGalerkin method, with generalized moving least squares interpolations Comput Mech 24 1999 334 347 (Pubitemid 30546708)
    • (1999) Computational Mechanics , vol.24 , Issue.5 , pp. 334-347
    • Atluri, S.N.1    Cho, J.Y.2    Kim, H.-G.3
  • 33
    • 0012255432 scopus 로고    scopus 로고
    • A Meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates
    • Y.T. Gu, and G.R. Liu A meshless local PetrovGalerkin (MLPG) formulation for static and free vibration analyses of thin plates CMES: Comput Modeling Eng Sci 2 2001 463 476 (Pubitemid 33620143)
    • (2001) CMES - Computer Modeling in Engineering and Sciences , vol.2 , Issue.4 , pp. 463-476
    • Gu, Y.T.1    Liu, G.R.2
  • 34
    • 0043205008 scopus 로고    scopus 로고
    • A meshless local PetrovGalerkin (MLPG) method for solving the bending problem of a thin plate
    • S. Long, and S.N. Atluri A meshless local PetrovGalerkin (MLPG) method for solving the bending problem of a thin plate CMES: Comput Modeling Eng Sci 3 2002 53 64
    • (2002) CMES: Comput Modeling Eng Sci , vol.3 , pp. 53-64
    • Long, S.1    Atluri, S.N.2
  • 35
    • 0242317235 scopus 로고    scopus 로고
    • Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods
    • L.F. Qian, R.C. Batra, and L.M. Chen Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) Methods CMES: Comput Modeling Eng Sci 4 2003 161 175 (Pubitemid 37360207)
    • (2003) CMES - Computer Modeling in Engineering and Sciences , vol.4 , Issue.1 , pp. 161-175
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 36
    • 8344220613 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates
    • J. Soric, Q. Li, T. Jarak, and S.N. Atluri Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates CMES: Comput Modeling Eng Sci 6 2004 349 357
    • (2004) CMES: Comput Modeling Eng Sci , vol.6 , pp. 349-357
    • Soric, J.1    Li, Q.2    Jarak, T.3    Atluri, S.N.4
  • 37
    • 19044381983 scopus 로고    scopus 로고
    • A locking-free meshless local Petrov-Galerkin formulation for thick and thin plates
    • DOI 10.1016/j.jcp.2005.02.008, PII S0021999105000872
    • Q. Li, J. Soric, T. Jarak, and S.N. Atluri A locking-free meshless local PetrovGalerkin formulation for thick and thin plates J Comput Phys 208 2005 116 133 (Pubitemid 40714216)
    • (2005) Journal of Computational Physics , vol.208 , Issue.1 , pp. 116-133
    • Li, Q.1    Soric, J.2    Jarak, T.3    Atluri, S.N.4
  • 38
    • 33750466917 scopus 로고    scopus 로고
    • Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions
    • DOI 10.1016/j.cma.2006.08.002, PII S0045782506002362
    • J.R. Xiao, R.C. Batra, D.F. Gilhooley, J.W. Gillespie Jr., and M.A. McCarthy Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions Comput Meth Appl Mech Eng 196 2007 979 987 (Pubitemid 44644877)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.4-6 , pp. 979-987
    • Xiao, J.R.1    Batra, R.C.2    Gilhooley, D.F.3    Gillespie Jr., J.W.4    McCarthy, M.A.5
  • 39
    • 34147146929 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load
    • DOI 10.1016/j.cma.2007.01.014, PII S0045782507000448
    • J. Sladek, V. Sladek, J. Krivacek, P.H. Wen, and Ch. Zhang Meshless local PetrovGalerkin (MLPG) method for ReissnerMindlin plates under dynamic load Comput Meth Appl Mech Eng 196 2007 2681 2691 (Pubitemid 46554975)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.25-28 , pp. 2681-2691
    • Sladek, J.1    Sladek, V.2    Krivacek, J.3    Wen, P.H.4    Zhang, Ch.5
  • 40
    • 0040518647 scopus 로고    scopus 로고
    • Arbitrary placement of secondary nodes, and error control, in the meshless local PetrovGalerkin (MLPG) method
    • H.G. Kim, and S.N. Atluri Arbitrary placement of secondary nodes, and error control, in the meshless local PetrovGalerkin (MLPG) method CMES: Comput Modeling Eng Sci 1 2000 11 32
    • (2000) CMES: Comput Modeling Eng Sci , vol.1 , pp. 11-32
    • Kim, H.G.1    Atluri, S.N.2
  • 41
    • 0001848443 scopus 로고    scopus 로고
    • Determination of crack tip fields in linear elastostatics by the meshless local PetrovGalerkin (MLPG) method
    • H.K. Ching, and R.C. Batra Determination of crack tip fields in linear elastostatics by the meshless local PetrovGalerkin (MLPG) method CMES: Comput Modeling Eng Sci 2 2001 273 290
    • (2001) CMES: Comput Modeling Eng Sci , vol.2 , pp. 273-290
    • Ching, H.K.1    Batra, R.C.2
  • 42
    • 0242285511 scopus 로고    scopus 로고
    • Analysis of materials with strain-gradient effects: A meshless local Petrov-Galerkin (MLPG) approach, with nodal displacements only
    • Z. Tang, S. Shen, and S.N. Atluri Analysis of materials with strain-gradient effects: a meshless local PetrovGalerkin (MLPG) approach, with nodal displacements only CMES: Comput Modeling Eng Sci 4 2003 177 196 (Pubitemid 37360208)
    • (2003) CMES - Computer Modeling in Engineering and Sciences , vol.4 , Issue.1 , pp. 177-196
    • Tang, Z.1    Shen, S.2    Atluri, S.N.3
  • 43
    • 12544257798 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin analysis for 2D functionally graded elastic solids under mechanical and thermal loads
    • DOI 10.1016/j.compositesb.2004.09.007, PII S1359836804001362
    • H.K. Ching, and S.C. Yen Meshless local Petrov-Galerkin analysis for 2D functionally graded elastic solids under mechanical and thermal loads Compos: Part B 36 2005 223 240 (Pubitemid 40151901)
    • (2005) Composites Part B: Engineering , vol.36 , Issue.3 , pp. 223-240
    • Ching, H.K.1    Yen, S.C.2
  • 44
    • 33644647655 scopus 로고    scopus 로고
    • Transient thermoelastic deformations of 2-D functionally graded beams under nonuniformly convective heat supply
    • DOI 10.1016/j.compstruct.2005.02.021, PII S0263822305000565
    • H.K. Ching, and S.C. Yen Transient thermoelastic deformations of 2-D functionally graded beams under nonuniformly convective heat supply Compos Struct 73 2006 381 393 (Pubitemid 43323650)
    • (2006) Composite Structures , vol.73 , Issue.4 , pp. 381-393
    • Ching, H.K.1    Yen, S.C.2
  • 45
    • 18844385433 scopus 로고    scopus 로고
    • Stress analysis in anisotropic functionally graded materials by the MLPG method
    • DOI 10.1016/j.enganabound.2005.01.011, PII S0955799705000512, Anisotropic Green's Functions and BEM's Anisotropic Green's Functions and BEM's
    • J. Sladek, V. Sladek, and Ch. Zhang Stress analysis in anisotropic functionally graded materials by the MLPG method Eng Anal Bound Elem 29 2005 597 609 (Pubitemid 40683920)
    • (2005) Engineering Analysis with Boundary Elements , vol.29 , Issue.6 , pp. 597-609
    • Sladek, J.1    Sladek, V.2    Zhang, Ch.3
  • 46
    • 85010190064 scopus 로고    scopus 로고
    • Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local PetrovGalerkin method
    • L.F. Qiana, R.C. Batra, and L.M. Chena Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local PetrovGalerkin method Compos: Part B 35 2004 685 697
    • (2004) Compos: Part B , vol.35 , pp. 685-697
    • Qiana, L.F.1    Batra, R.C.2    Chena, L.M.3
  • 47
    • 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
    • DOI 10.1016/j.compstruct.2006.07.007, PII S0263822306002893
    • D.F. Gilhooley, R.C. Batra, J.R. Xiao, M.A. McCarthy, and J.W. Gillespie 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 80 2007 539 552 (Pubitemid 46359845)
    • (2007) Composite Structures , vol.80 , Issue.4 , pp. 539-552
    • Gilhooley, D.F.1    Batra, R.C.2    Xiao, J.R.3    McCarthy, M.A.4    Gillespie Jr., J.W.5
  • 48
    • 76249123169 scopus 로고    scopus 로고
    • Elastic analysis in 3D anisotropic functionally graded solids by the MLPG
    • J. Sladek, V. Sladek, and P. Solek Elastic analysis in 3D anisotropic functionally graded solids by the MLPG CMES: Comput Modeling Eng Sci 43 2009 223 251
    • (2009) CMES: Comput Modeling Eng Sci , vol.43 , pp. 223-251
    • Sladek, J.1    Sladek, V.2    Solek, P.3
  • 49
    • 3242696934 scopus 로고    scopus 로고
    • Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity
    • Q. Li, S. Shen, Z.D. Han, and S.N. Atluri Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity CMES: Comput Modeling Eng Sci 4 2003 567 581
    • (2003) CMES: Comput Modeling Eng Sci , vol.4 , pp. 567-581
    • Li, Q.1    Shen, S.2    Han, Z.D.3    Atluri, S.N.4
  • 50
    • 4344620831 scopus 로고    scopus 로고
    • Meshless Local Petrov-Galerkin (MLPG) approaches for solving 3D Problems in elasto-statics
    • Z.D. Han, and S.N. Atluri Meshless Local Petrov-Galerkin (MLPG) approaches for solving 3D Problems in elasto-statics CMES: Comput Modeling Eng Sci 6 2004 168 188
    • (2004) CMES: Comput Modeling Eng Sci , vol.6 , pp. 168-188
    • Han, Z.D.1    Atluri, S.N.2
  • 51
    • 11144289714 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics
    • Z.D. Han, and S.N. Atluri A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics CMC: Comput Mater Continua 1 2004 129 140
    • (2004) CMC: Comput Mater Continua , vol.1 , pp. 129-140
    • Han, Z.D.1    Atluri, S.N.2
  • 52
    • 3242705014 scopus 로고    scopus 로고
    • Truly meshless local Petrov-Galerkin (MLPG) solutions of traction & displacement BIEs
    • Z.D. Han, and S.N. Atluri Truly meshless local Petrov-Galerkin (MLPG) solutions of traction & displacement BIEs CMES: Comput Modeling Eng Sci 4 2003 665 678
    • (2003) CMES: Comput Modeling Eng Sci , vol.4 , pp. 665-678
    • Han, Z.D.1    Atluri, S.N.2
  • 53
    • 0042964833 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method: A simple & less costly alternative to the finite element and boundary element methods
    • S.N. Atluri, and S. Shen The meshless local Petrov-Galerkin (MLPG) method: a simple & less costly alternative to the finite element and boundary element methods CMES: Comput Modeling Eng Sci 3 2002 11 52
    • (2002) CMES: Comput Modeling Eng Sci , vol.3 , pp. 11-52
    • Atluri, S.N.1    Shen, S.2
  • 54
    • 0002689020 scopus 로고
    • A method of computation for structural dynamics
    • N.M. Newmark A method of computation for structural dynamics J Eng Mech Div, ASCE 85 1959 67 94
    • (1959) J Eng Mech Div, ASCE , vol.85 , pp. 67-94
    • Newmark, N.M.1
  • 57
    • 84873752734 scopus 로고
    • Theory of the rheological properties of dispersions
    • H. Frohlich, and R. Sack Theory of the rheological properties of dispersions Proc R Soc A185 1946 415 430
    • (1946) Proc R Soc , vol.185 A , pp. 415-430
    • Frohlich, H.1    Sack, R.2
  • 58
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • R. Hill A self-consistent mechanics of composite materials J Mech Phys Solids 13 1965 213 222
    • (1965) J Mech Phys Solids , vol.13 , pp. 213-222
    • Hill, R.1
  • 59
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • T. Mori, and K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall 21 1973 571 574
    • (1973) Acta Metall , vol.21 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 60
    • 23044533285 scopus 로고    scopus 로고
    • Effective properties of a piezocomposite containing shape memory alloy and inert inclusions
    • DOI 10.1007/s001610100075
    • B. Jiang, and R.C. Batra Effective properties of a piezocomposite containing shape memory alloy and inert inclusions Continuum Mech Thermodyn 14 2002 87 111 (Pubitemid 41388669)
    • (2002) Continuum Mechanics and Thermodynamics , vol.14 , Issue.1 , pp. 87-111
    • Jiang, B.1    Batra, R.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.