메뉴 건너뛰기




Volumn 87, Issue 6, 2011, Pages 491-520

A finite element formulation for piezoelectric shell structures considering geometrical and material non-linearities

Author keywords

Mixed finite element formulation; Piezoelectricity; Preisach model; Shell element; Smart structures

Indexed keywords

DIELECTRIC DISPLACEMENT; ELECTRICAL DEGREES; ELECTRO-MECHANICAL; FERROELECTRIC HYSTERESIS; FINITE ELEMENT FORMULATIONS; HYSTERESIS CURVE; ISOTROPIC MATERIALS; KINEMATIC ASSUMPTIONS; LARGE DEFORMATIONS; MECHANICAL DEGREES; MIXED FINITE ELEMENT FORMULATION; MIXED FORMULATIONS; MULTI-FIELD; NON-LINEAR; NON-LINEAR FINITE ELEMENTS; NONLINEAR BEHAVIOR; PIEZOELECTRIC SHELLS; PREISACH MODEL; REISSNER-MINDLIN THEORY; SHELL ELEMENT; STABILITY PROBLEM; STRESS CONDITION; TEMPERATURE DEPENDENT; TEMPERATURE-DEPENDENT EFFECTS; THICKNESS DIRECTION; VARIATIONAL FORMULATION;

EID: 79960097312     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3113     Document Type: Article
Times cited : (22)

References (68)
  • 1
    • 37049003721 scopus 로고    scopus 로고
    • A piezoelectric solid shell element based on a mixed variational formulation for geometrically linear and nonlinear applications
    • Klinkel S, Wagner W. A piezoelectric solid shell element based on a mixed variational formulation for geometrically linear and nonlinear applications. Computers and Structures 2008; 86:38-46.
    • (2008) Computers and Structures , vol.86 , pp. 38-46
    • Klinkel, S.1    Wagner, W.2
  • 2
    • 4043142213 scopus 로고    scopus 로고
    • The formulation of a refined hybrid enhanced assumed strain solid shell element and its application to model smart structures containing distributed piezoelectric sensors/actuators
    • Zheng S, Wang X, Chen W. The formulation of a refined hybrid enhanced assumed strain solid shell element and its application to model smart structures containing distributed piezoelectric sensors/actuators. Smart Materials and Structures 2004; 13:N43-N50.
    • (2004) Smart Materials and Structures , vol.13
    • Zheng, S.1    Wang, X.2    Chen, W.3
  • 3
    • 0033682999 scopus 로고    scopus 로고
    • A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Parts I +II
    • Sze K, Yao L, Yi S. A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Parts I +II. International Journal for Numerical Methods in Engineering 2000; 48:545-582.
    • (2000) International Journal for Numerical Methods in Engineering , vol.48 , pp. 545-582
    • Sze, K.1    Yao, L.2    Yi, S.3
  • 4
    • 0000892980 scopus 로고    scopus 로고
    • Layerwise mechanics and finite element model for laminated piezoelectric shells
    • Heyliger P, Pei KC, Saravanos DA. Layerwise mechanics and finite element model for laminated piezoelectric shells. AIAA Journal 1996; 34(11):2353-2360.
    • (1996) AIAA Journal , vol.34 , Issue.11 , pp. 2353-2360
    • Heyliger, P.1    Pei, K.C.2    Saravanos, D.A.3
  • 5
    • 33646802966 scopus 로고    scopus 로고
    • Coupled mechanics and finite element for non-linear laminated piezoelectric shallow shells undergoing large displacements and rotations
    • Varelis D, Saravanos DA. Coupled mechanics and finite element for non-linear laminated piezoelectric shallow shells undergoing large displacements and rotations. International Journal for Numerical Methods in Engineering 2006; 66(8):1211-1233.
    • (2006) International Journal for Numerical Methods in Engineering , vol.66 , Issue.8 , pp. 1211-1233
    • Varelis, D.1    Saravanos, D.A.2
  • 6
    • 53749083890 scopus 로고    scopus 로고
    • Nonlinear coupled multi-field mechanics and finite element for active multi-stable thermal piezoelectric shells
    • Varelis D, Saravanos DA. Nonlinear coupled multi-field mechanics and finite element for active multi-stable thermal piezoelectric shells. International Journal for Numerical Methods in Engineering 2008; 76:84-107.
    • (2008) International Journal for Numerical Methods in Engineering , vol.76 , pp. 84-107
    • Varelis, D.1    Saravanos, D.A.2
  • 7
    • 8844245062 scopus 로고    scopus 로고
    • Locking-free piezoelectric MITC shell elements
    • In, Bathe KJ (ed.). Elsevier: Amsterdam
    • Kögel M, Bucalem ML. Locking-free piezoelectric MITC shell elements. In Computational Fluid and Solid Mechanics, Bathe KJ (ed.). Elsevier: Amsterdam, 2003; 392-395.
    • (2003) Computational Fluid and Solid Mechanics , pp. 392-395
    • Kögel, M.1    Bucalem, M.L.2
  • 8
    • 0141573327 scopus 로고    scopus 로고
    • Modelization and numerical approximation of piezoelectric thin shells. Parts I +II +III
    • Bernadou M, Haenel C. Modelization and numerical approximation of piezoelectric thin shells. Parts I +II +III. Computer Methods in Applied Mechanics and Engineering 2003; 192:4003-4107.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 4003-4107
    • Bernadou, M.1    Haenel, C.2
  • 9
    • 15744405772 scopus 로고    scopus 로고
    • Multi-field variational formulations and related finite elements for piezoelectric shells
    • Lammering R, Mesecke-Rischmann S. Multi-field variational formulations and related finite elements for piezoelectric shells. Smart Materials and Structures 2003; 12:904-913.
    • (2003) Smart Materials and Structures , vol.12 , pp. 904-913
    • Lammering, R.1    Mesecke-Rischmann, S.2
  • 10
    • 36448973454 scopus 로고    scopus 로고
    • Geometrically nonlinear finite element simulation of smart piezolaminated plates and shells
    • Lentzen S, Klosowski P, Schmidt R. Geometrically nonlinear finite element simulation of smart piezolaminated plates and shells. Smart Materials and Structures 2007; 16:2265-2274.
    • (2007) Smart Materials and Structures , vol.16 , pp. 2265-2274
    • Lentzen, S.1    Klosowski, P.2    Schmidt, R.3
  • 11
    • 0037186335 scopus 로고    scopus 로고
    • On nonlinear behavior of spherical shallow shells bonded with piezoelectric actuators by the differential quadrature element method (DQEM)
    • Wang X, Wang Y. On nonlinear behavior of spherical shallow shells bonded with piezoelectric actuators by the differential quadrature element method (DQEM). International Journal for Numerical Methods in Engineering 2002; 53:1477-1490.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , pp. 1477-1490
    • Wang, X.1    Wang, Y.2
  • 12
    • 28844499528 scopus 로고    scopus 로고
    • Optimal solid shell element for large deformable composite structures with piezoelectric layers and active vibration control
    • Tan X, Vu-Quoc L. Optimal solid shell element for large deformable composite structures with piezoelectric layers and active vibration control. International Journal for Numerical Methods in Engineering 2005; 64:1981-2013.
    • (2005) International Journal for Numerical Methods in Engineering , vol.64 , pp. 1981-2013
    • Tan, X.1    Vu-Quoc, L.2
  • 13
    • 0034464391 scopus 로고    scopus 로고
    • Active control of nonlinear piezoelectric circular shallow spherical shells
    • Zhou Y, Tzou H. Active control of nonlinear piezoelectric circular shallow spherical shells. International Journal of Solids and Structures 2000; 37:1663-1677.
    • (2000) International Journal of Solids and Structures , vol.37 , pp. 1663-1677
    • Zhou, Y.1    Tzou, H.2
  • 14
    • 0031192887 scopus 로고    scopus 로고
    • Nonlinear piezothermoelasticity and multi-field actuations. Part 2: control of nonlinear deflection, buckling and dynamics
    • Tzou H, Bao Y. Nonlinear piezothermoelasticity and multi-field actuations. Part 2: control of nonlinear deflection, buckling and dynamics. Journal of Vibration and Acoustics 1997; 119:382-389.
    • (1997) Journal of Vibration and Acoustics , vol.119 , pp. 382-389
    • Tzou, H.1    Bao, Y.2
  • 15
    • 0036276386 scopus 로고    scopus 로고
    • Free vibrations of simply-supported piezoelectric adaptive plates: an exact sandwich formulation
    • Benjeddou A, Deü JF, Letombe S. Free vibrations of simply-supported piezoelectric adaptive plates: an exact sandwich formulation. Thin-Walled Structures 2002; 40:573-593.
    • (2002) Thin-Walled Structures , vol.40 , pp. 573-593
    • Benjeddou, A.1    Deü, J.F.2    Letombe, S.3
  • 16
    • 45749137248 scopus 로고    scopus 로고
    • A piezolaminated composite degenerated shell finite element for active control of structures with distributes piezosensors and actuators
    • 035031.
    • Balamurugan V, Narayanan S. A piezolaminated composite degenerated shell finite element for active control of structures with distributes piezosensors and actuators. Smart Materials and Structures 2008; 17(3):035031.
    • (2008) Smart Materials and Structures , vol.17 , Issue.3
    • Balamurugan, V.1    Narayanan, S.2
  • 17
    • 0040219976 scopus 로고    scopus 로고
    • Hybrid finite element models for piezoelectric materials
    • Sze KY, Pan YS. Hybrid finite element models for piezoelectric materials. Journal of Sound and Vibration 1999; 226:519-547.
    • (1999) Journal of Sound and Vibration , vol.226 , pp. 519-547
    • Sze, K.Y.1    Pan, Y.S.2
  • 18
    • 0032157289 scopus 로고    scopus 로고
    • A micro-electro-mechanical model for polarization switching of ferroelectric materials
    • Chen W, Lynch CS. A micro-electro-mechanical model for polarization switching of ferroelectric materials. Acta Metallurgica 1998; 46(15):5303-5311.
    • (1998) Acta Metallurgica , vol.46 , Issue.15 , pp. 5303-5311
    • Chen, W.1    Lynch, C.S.2
  • 20
    • 45549115720 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects-I +II
    • Bassiouny E, Ghaleb AF, Maugin GA. Thermodynamical formulation for coupled electromechanical hysteresis effects-I +II. International Journal of Engineering Science 1988; 26(12):1279-1306.
    • (1988) International Journal of Engineering Science , vol.26 , Issue.12 , pp. 1279-1306
    • Bassiouny, E.1    Ghaleb, A.F.2    Maugin, G.A.3
  • 21
    • 0024936963 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects-III. parameter identification
    • Bassiouny E, Maugin GA. Thermodynamical formulation for coupled electromechanical hysteresis effects-III. parameter identification. International Journal of Engineering Science 1989; 27(8):975-987.
    • (1989) International Journal of Engineering Science , vol.27 , Issue.8 , pp. 975-987
    • Bassiouny, E.1    Maugin, G.A.2
  • 22
    • 0024928539 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects-IV. combined electromechanical loading
    • Bassiouny E, Ghaleb AF, Maugin GA. Thermodynamical formulation for coupled electromechanical hysteresis effects-IV. combined electromechanical loading. International Journal of Engineering Science 1989; 27(8):989-1000.
    • (1989) International Journal of Engineering Science , vol.27 , Issue.8 , pp. 989-1000
    • Bassiouny, E.1    Ghaleb, A.F.2    Maugin, G.A.3
  • 23
    • 0036683634 scopus 로고    scopus 로고
    • A phenomenological multiaxial constitutive law for switching in polycrystalline ferroelectric ceramics
    • McMeeking RM, Landis CM. A phenomenological multiaxial constitutive law for switching in polycrystalline ferroelectric ceramics. International Journal of Engineering Science 2002; 40:1553-1577.
    • (2002) International Journal of Engineering Science , vol.40 , pp. 1553-1577
    • McMeeking, R.M.1    Landis, C.M.2
  • 24
    • 0035630371 scopus 로고    scopus 로고
    • Ferroelectric and ferroelastic piezoceramics-modeling of electromechanical hysteresis phenomena
    • Kamlah M. Ferroelectric and ferroelastic piezoceramics-modeling of electromechanical hysteresis phenomena. Continuum Mechanics and Thermodynamics 2001; 13:219-268.
    • (2001) Continuum Mechanics and Thermodynamics , vol.13 , pp. 219-268
    • Kamlah, M.1
  • 25
    • 33748956340 scopus 로고    scopus 로고
    • A phenomenological constitutive model for ferroelastic and ferroelectric hysteresis effects in ferroelectric ceramics
    • Klinkel S. A phenomenological constitutive model for ferroelastic and ferroelectric hysteresis effects in ferroelectric ceramics. International Journal of Solids and Structures 2006; 43:7197-7222.
    • (2006) International Journal of Solids and Structures , vol.43 , pp. 7197-7222
    • Klinkel, S.1
  • 28
    • 0031099418 scopus 로고    scopus 로고
    • Generalized Preisach model for hysteresis nonlinearity of piezoceramic actuators
    • Ge P, Jouaneh M. Generalized Preisach model for hysteresis nonlinearity of piezoceramic actuators. Precision Engineering 1997; 20:99-111.
    • (1997) Precision Engineering , vol.20 , pp. 99-111
    • Ge, P.1    Jouaneh, M.2
  • 29
    • 18844429465 scopus 로고    scopus 로고
    • Tracking control of a piezoceramic actuator with hysteresis compensation using inverse Preisach model
    • Song G, Zhao J, Zhou X, De Abreu-Garcia JA. Tracking control of a piezoceramic actuator with hysteresis compensation using inverse Preisach model. IEEE/ASME Transaction on Mechatronics 2005; 10(2):198-209.
    • (2005) IEEE/ASME Transaction on Mechatronics , vol.10 , Issue.2 , pp. 198-209
    • Song, G.1    Zhao, J.2    Zhou, X.3    De Abreu-Garcia, J.A.4
  • 33
    • 0141883999 scopus 로고    scopus 로고
    • Thermo-electro-mechanical behavior of ferroelectric material. Part I: a computational micromechanical model versus experimental results
    • Mauck LD, Lynch CS. Thermo-electro-mechanical behavior of ferroelectric material. Part I: a computational micromechanical model versus experimental results. Journal of Intelligent Material Systems and Structures 2003; 14:587-602.
    • (2003) Journal of Intelligent Material Systems and Structures , vol.14 , pp. 587-602
    • Mauck, L.D.1    Lynch, C.S.2
  • 35
    • 33750183803 scopus 로고    scopus 로고
    • Scaling behavior of dynamic hysteresis in soft lead zirconate titanate bulk ceramics
    • Yimnirun R, Laosiritaworn Y, Wongsaenmai S, Ananta S. Scaling behavior of dynamic hysteresis in soft lead zirconate titanate bulk ceramics. Applied Physics Letters 2006; 89:162901.
    • (2006) Applied Physics Letters , vol.89 , pp. 162901
    • Yimnirun, R.1    Laosiritaworn, Y.2    Wongsaenmai, S.3    Ananta, S.4
  • 38
    • 67149089046 scopus 로고    scopus 로고
    • A constitutive model for temperature dependent behavior of ferroelectric materials. In Behavior and Mechanics of Multifunctional Materials and Composites, Proceedings of the SPIE Conference, San Diego, CA, U.S.A., Ounaies, Z, Li J (eds), 2009; 7289:72890J.
    • Yoshida K, Ikeda T, Ueda T. A constitutive model for temperature dependent behavior of ferroelectric materials. In Behavior and Mechanics of Multifunctional Materials and Composites, Proceedings of the SPIE Conference, San Diego, CA, U.S.A., Ounaies, Z, Li J (eds), 2009; 7289:72890J.
    • Yoshida, K.1    Ikeda, T.2    Ueda, T.3
  • 39
    • 0030646226 scopus 로고    scopus 로고
    • The effect of temperature induced material property variations on piezoelectric composite plates. Proceedings of the AIAA 38th Structures, Structural Dynamics, and Materials Conference, AIAA, Reston, VA, U.S.A., 1997
    • Lee HJ, Saravanos DA. The effect of temperature induced material property variations on piezoelectric composite plates. Proceedings of the AIAA 38th Structures, Structural Dynamics, and Materials Conference, AIAA, Reston, VA, U.S.A., 1997; 1781-1788.
    • Lee, H.J.1    Saravanos, D.A.2
  • 40
    • 0016034292 scopus 로고
    • On the derivation of shell theories by direct approach
    • Green AE, Naghdi PM. On the derivation of shell theories by direct approach. Journal of Applied Mechanics 1974; 41:173-176.
    • (1974) Journal of Applied Mechanics , vol.41 , pp. 173-176
    • Green, A.E.1    Naghdi, P.M.2
  • 41
    • 23344454907 scopus 로고    scopus 로고
    • Thermopiezoelastic nonlinear dynamics of active piezolaminated plates
    • Oh I. Thermopiezoelastic nonlinear dynamics of active piezolaminated plates. Smart Materials and Structures 2005; 14:823-834.
    • (2005) Smart Materials and Structures , vol.14 , pp. 823-834
    • Oh, I.1
  • 43
    • 34250909760 scopus 로고
    • Über die magnetische Nachwirkung
    • Preisach F. Über die magnetische Nachwirkung. Zeitschrift für Physik 1935; 94:277-302.
    • (1935) Zeitschrift für Physik , vol.94 , pp. 277-302
    • Preisach, F.1
  • 44
    • 0027885005 scopus 로고    scopus 로고
    • Hysteresis prediction for a piezoceramic material system. ASME Winter Annual Meeting, New Orleans, LA, 1993
    • Sreeran P, Salvady G, Naganathan NG. Hysteresis prediction for a piezoceramic material system. ASME Winter Annual Meeting, New Orleans, LA, 1993; 35-42.
    • Sreeran, P.1    Salvady, G.2    Naganathan, N.G.3
  • 46
    • 0033640451 scopus 로고    scopus 로고
    • Experimental determination of Preisach distribution functions in magnetic cores
    • Cardelli E, Della Torre E, Ban G. Experimental determination of Preisach distribution functions in magnetic cores. Physica B 2000; 275:262-269.
    • (2000) Physica B , vol.275 , pp. 262-269
    • Cardelli, E.1    Della Torre, E.2    Ban, G.3
  • 47
    • 4644361596 scopus 로고    scopus 로고
    • Hysteresis parameter identification with limited experimental data
    • Iyer RV, Shirley ME. Hysteresis parameter identification with limited experimental data. IEEE Journal 2004; 40(5):3227-3239.
    • (2004) IEEE Journal , vol.40 , Issue.5 , pp. 3227-3239
    • Iyer, R.V.1    Shirley, M.E.2
  • 48
    • 58249133144 scopus 로고    scopus 로고
    • A geometrically and materially non-linear piezoelectric three-dimensional-beam finite element formulation including warping effects
    • Butz A, Klinkel S, Wagner W. A geometrically and materially non-linear piezoelectric three-dimensional-beam finite element formulation including warping effects. International Journal for Numerical Methods in Engineering 2008; 76:601-635.
    • (2008) International Journal for Numerical Methods in Engineering , vol.76 , pp. 601-635
    • Butz, A.1    Klinkel, S.2    Wagner, W.3
  • 50
    • 0021384182 scopus 로고
    • A continuum mechanics based four node shell element for general nonlinear analysis
    • Dvorkin E, Bathe KJ. A continuum mechanics based four node shell element for general nonlinear analysis. Engineering Computations 1984; 1:77-88.
    • (1984) Engineering Computations , vol.1 , pp. 77-88
    • Dvorkin, E.1    Bathe, K.J.2
  • 51
    • 33644780655 scopus 로고    scopus 로고
    • Structural analysis of composite laminates using a mixed hybrid shell element
    • Gruttmann F, Wagner W. Structural analysis of composite laminates using a mixed hybrid shell element. Computational Mechanics 2006; 37(6):479-497.
    • (2006) Computational Mechanics , vol.37 , Issue.6 , pp. 479-497
    • Gruttmann, F.1    Wagner, W.2
  • 53
    • 0024641220 scopus 로고
    • On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspects
    • Simo JC, Fox DD, Rifai MS. On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspects. Computer Methods in Applied Mechanics and Engineering 1989; 73:53-92.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.73 , pp. 53-92
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 55
    • 0001694025 scopus 로고
    • Distributed vibration control and identification of coupled elastic/piezoelectric systems: finite element formulation and application
    • Tzou HS, Tsneg CI. Distributed vibration control and identification of coupled elastic/piezoelectric systems: finite element formulation and application. Mechanical Systems and Signal Processing 1991; 5(3):215-231.
    • (1991) Mechanical Systems and Signal Processing , vol.5 , Issue.3 , pp. 215-231
    • Tzou, H.S.1    Tsneg, C.I.2
  • 56
    • 0027592361 scopus 로고
    • Finite element modeling of piezoelectric sensors and actuators
    • Hwang WS, Park HC. Finite element modeling of piezoelectric sensors and actuators. AIAA Journal 1993; 31(5):930-937.
    • (1993) AIAA Journal , vol.31 , Issue.5 , pp. 930-937
    • Hwang, W.S.1    Park, H.C.2
  • 57
    • 0032635895 scopus 로고    scopus 로고
    • A mixed model for composite beams with piezoelectric actuators and sensors
    • Chee CYK, Tong L, Steven GP. A mixed model for composite beams with piezoelectric actuators and sensors. Smart Materials and Structures 1999; 8:417-432.
    • (1999) Smart Materials and Structures , vol.8 , pp. 417-432
    • Chee, C.Y.K.1    Tong, L.2    Steven, G.P.3
  • 58
    • 0024863097 scopus 로고    scopus 로고
    • Development of a light-weight robot end-effector using polymeric piezoelectric bimorph. IEEE Conference on Robotics and Automation, Scottsdale, AZ, U.S.A., 1989
    • Tzou HS. Development of a light-weight robot end-effector using polymeric piezoelectric bimorph. IEEE Conference on Robotics and Automation, Scottsdale, AZ, U.S.A., 1989; 1704-1709.
    • Tzou, H.S.1
  • 59
    • 0040219976 scopus 로고    scopus 로고
    • Hybrid finite element models for piezoelectric materials
    • Sze KY, Pan YS. Hybrid finite element models for piezoelectric materials. Journal of Sound and Vibration 1999; 226:519-547.
    • (1999) Journal of Sound and Vibration , vol.226 , pp. 519-547
    • Sze, K.Y.1    Pan, Y.S.2
  • 61
    • 0035450614 scopus 로고    scopus 로고
    • Shell finite element for smart piezoelectric composite plate-shell structures and its application to the study of active vibration control
    • Balamurugan V, Narayanan S. Shell finite element for smart piezoelectric composite plate-shell structures and its application to the study of active vibration control. Finite Elements in Analysis and Design 2001; 37(9):713-738.
    • (2001) Finite Elements in Analysis and Design , vol.37 , Issue.9 , pp. 713-738
    • Balamurugan, V.1    Narayanan, S.2
  • 62
    • 0031197663 scopus 로고    scopus 로고
    • Mixed laminate theory and finite element smart piezoelectric composite shell structures
    • Saravanos DA. Mixed laminate theory and finite element smart piezoelectric composite shell structures. AIAA Journal 1997; 35(8):1327-1333.
    • (1997) AIAA Journal , vol.35 , Issue.8 , pp. 1327-1333
    • Saravanos, D.A.1
  • 63
    • 79960092404 scopus 로고    scopus 로고
    • Studies on piezoelectric actuated shell with application to optimal steering of antenna. Ph.D. Thesis, IIT Mumbai, India
    • Gupta VK. Studies on piezoelectric actuated shell with application to optimal steering of antenna. Ph.D. Thesis, IIT Mumbai, India, 2003.
    • (2003)
    • Gupta, V.K.1
  • 64
    • 7044270773 scopus 로고    scopus 로고
    • Finite element and experimental investigation of piezoelectric actuated smart shells
    • Gupta VK, Seshu P, Kurien Issac K. Finite element and experimental investigation of piezoelectric actuated smart shells. AIAA Journal 2004; 42(10):2112-2123.
    • (2004) AIAA Journal , vol.42 , Issue.10 , pp. 2112-2123
    • Gupta, V.K.1    Seshu, P.2    Kurien Issac, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.