REFERENCES

advertisement
REFERENCES
Akay, H. U. (1980a), “Dynamic Large Deflection Analysis of Plates using Mixed Finite
Elements,” Computers and Structures, 11, 1–11.
Akay, H. U. (1980b), “An Investigation of First- and Second-Order Mixed Plate Bending
Elements,” International Journal for Numerical Methods in Engineering, 15, 351-360.
Ayad, R., Dhatt, G., and Batoz, J. L. (1998), “A New Hybrid-Mixed Variational
Approach for Reissner-Mindlin Plates. The MiSP Model,” International Journal for
Numerical Methods in Engineering, 42, 1149-1179.
Ayad, R., Rigolot, A., and Talbi, N. (2001), “An Improved Three-Node Hybrid-Mixed
Element for Mindlin/Reissner Plates,” International Journal for Numerical Methods in
Engineering, 51, 919-942.
Ayad, R. and Rigolot, A. (2002), “An Improved Four-Node Hybrid-Mixed Element
Based upon Mindlin’s Plate Theory,” International Journal for Numerical Methods in
Engineering, 55, 705-731.
Bao, Y., Tzou, H. S., and Venkayya, V. B. (1998), “Analysis of Nonlinear
Piezothermoelastic Laminated Beams with Electric and Temperature Effects,” Journal of
Sound Vibration, 209(3), 505-518.
Bathe, K. J. and Cimento, A. P. (1980), “Some Practical Procedures for the Solution of
Non-Linear Finite Element Equations,” Computer Methods in Applied Mechanics and
Engineering, 22, 59-85.
Bathe, K.J. (1996), Finite Element Procedures, Prentice-Hall, Englewood Cliffs, NJ
209
Blandford, G. E. (1996), “Progressive Failure Analysis of Inelastic Space Truss
Structures,” Computers and Structures, 58(5), 981-980.
Blandford, G. E. and Glass, G. C. (1987), “Static/Dynamic Analysis of Locally Buckled
Frames,” Journal of Structural Engineering, 113(2), 363-380.
Blandford, G. E., Tauchert, T. R. and Du, Y. (1999), “Self-Strained Piezothermoelastic
Composite Beam Analysis Using First-Order Shear Deformation Theory,” Composites
Part B: Engineering Journal, 60, 51-63.
Brezzi, F., Bathe, K. J., and Fortin, M. (1989), “Mixed-Interpolated Elements for
Reissner-Mindlin Plates,” International Journal for Numerical Methods in Engineering,
28, 1787-1801.
Carrera,
E.
(1997),
“An
Improved
Reissner-Mindlin
Type
Model
for
the
Electromechanical Analysis of Multilayered Plates Including Piezo-Layers,” Journal of
Intelligent Material Systems and Structures, 8, 232-248.
Chandrashekhara, K. (1990), “Buckling of Multi-Layered Composite Plates Under
Uniform Temperature Field, in: Birman, V., Hui, D. (Eds.), Thermal Effects on Structures
and Materials ASME PVP, vol. 203, AMD, vol.110, 29-33.
Chattopadhyay, A., Li, J., and Gu, H. (1999), “Coupled Thermo-piezoelectric-mechanical
Model for Smart Composite Laminates,” AIAA Journal, 37(12), 1633-1638.
Chen, W. J., Lin, P. D., and Chen, L. W. (1991), “Thermal Buckling Behavior of Thick
Laminated Plates Under Nonuniform Temperature Distribution,” Computers and
Structures, 41(4), 637-645.
Chen, L. W. and Chen, L.Y. (1989), “Thermal Buckling Analysis of Composite
Laminated Plates by the Finite Element Method,” Journal of Thermal Stresses, 12, 41-56.
210
Clarke, M. J. and Hancock, G. J. (1990), “A Study of Incremental-Iterative Strategies for
Non-Linear Analysis,” International Journal for Numerical Methods in Engineering, 29,
1365-1391.
Crisfield, M. A. (1981), “A Fast Incremental/Iterative Solution Procedure That Handles
‘Snap Through’,” Computers and Structures, 13, 55-62.
Crisfield, M. A. (1982), “Accelerated Solution Techniques and Concrete Cracking,”
Computer Methods in Applied Mechanics and Engineering, 33, 585-607.
Crisfield, M. A. (1983), “An Arc-Length Method Including Line Searches and
Accelerations,” International Journal for Numerical Methods in Engineering, 19, 12691289.
Cook, R. D., Malkus, D. S., and Plesha, M. E. (2001), Concepts and Applications of
Finite Element Analysis, Fourth Edition, John Wiley & Sons, NY.
Dawe, D. J. and Ge, Y. S. (2000), “Thermal Buckling of Shear-Deformable Composite
Laminated Plates by the Spline Finite Strip Method,” Computer Methods in Applied
Mechanics and Engineering, 185, 347-366.
Day, M. L. and Yang, T. Y. (1982), “A Mixed Variational Principle for Finite Element
Analysis,” International Journal for Numerical Methods in Engineering, 18, 1213-1230.
Forde, B. W. R. and Stiemer, S. F. (1987), “Improved Arc Length Orthogonality Methods
for Nonlinear Finite Element Analysis,” Computers and Structures, 27, 625-630.
Franca, L. P. and Hughes, T. J. R. (1988), “Two Classes of Mixed Finite Element
Methods,” Computer Methods in Applied Mechanics and Engineering, 6, 89-129.
211
Fung Y. C. (1965), Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs,
NJ.
Gossard, M. L., Seide P., and Roberts, W. M. (1952), “Thermal Buckling of Plates,”
NACA TN, 2771.
Herrmann, L. R. (1965), “Elasticity Equations for Incompressible and Nearly
Incompressible Materials by a Variational Theorem,” AIAA Journal, 3, 1896-1900.
Heyliger, P., Ramirez, G., and Saravanos, D. A. (1994), “Coupled Discrete-Layer Finite
Elements for Laminated Piezoelectric Plates.” Communications for Numerical Methods
in Engineering, 10, 971-981.
Heyliger, P. (1997), “Exact Solutions for Simply Supported Laminated Piezoelectric
Plates”, Journal of Applied Mechanics, 64, 299-306.
Hilber, H. M. (1976), “Analysis and Design of Numerical Integration Methods in
Structural Dynamics,” Ph.D. Thesis, University of California, Berkeley.
Hilber, H. M., Hughes, T. J. R., and Taylor, R. L. (1977), “Improved Numerical
Dissipation for Time Integration Algorithms in Structural Dynamics,” Earthquake
Engineering and Structural Dynamics, 5, 283-292.
Hughes, T. J. R. (2000), The Finite Element Method: Linear Static and Dynamic Finite
Element Analysis, Dover, NY.
Huang, N. N. and Tauchert, T. R. (1992), “Thermal Buckling of Clamped Symmetric
Laminated Plates,” Thin-Walled Structures, 13(4), 259-273
Jones, R. M. (1999), Mechanics of Composite Materials, Second Edition, Taylor &
Francis, Philadelphia, PA.
212
Jonnalagadda, K. D. (1993), “Development of Higher-Order Plate Theories and
Applications to Piezothermoelastic Laminates,” Master of Science Thesis, University of
Kentucky, Lexington, KY.
Jonnalagadda, K. D., Blandford, G. E., and Tauchert, T. R. (1994), “Piezothermoelastic
Composite Plate Analysis Using First-Order Shear Deformation Theory,” Computers and
Structures, 51(1), 79-89.
Kabir, H. R. H., Hamad, M. A. M., Al-Duaij, J., and John, M. J. (2007), “Thermal
Buckling Response of All-Edge Clamped Rectangular Plates with Symmetric Angle-Ply
Lamination,” Composite Structures, 79(1), 148-155.
Kapuria, S. (2004), “A Coupled Zig-Zag Third-Order Theory for Piezoelectric Hybrid
Cross-Ply Plates,” Journal of Applied Mechanics, 71(5), 604-614.
Kapuria, S. and Dumir, P. C. (2000), “Coupled FSDT for Piezothermoelectric Hybrid
Rectangular Plate,” International Journal of Solids and Structures, 37, 6131-6153.
Lage, R. G., Soares, C. M. M., Soares, C. A. M., and Reddy, J. N. (2004), “Modelling of
Piezolaminated Plates Using Layerwise Mixed Finite Elements,” Computers and
Structures, 82(23-26), 1849-1863
Lee, H. J. and Saravanos, D. A. (1997), “Generalized Finite Element Formulation for
Smart Multilayered Thermal Piezoelectric Composite Plates,” International Journal of
Solids and Structures, 34(26), 3355-3371.
Lee, H. J. and Saravanos, D. A. (2000), “A Mixed Multi-Field Finite Element
Formulation for Thermopiezoelectric Composite Shells,” International Journal of Solids
and Structures, 37, 4949-4967.
213
Lee, S. W. and Wong, S. C. (1982), “Mixed Formulation Finite Elements for Mindlin
Theory Plate Bending,” International Journal of Numerical Methods in Engineering,
18(9), 1297-1311.
Levy, S. (1942), “Square Plates with Clamped Edges Under Normal Pressure Producing
Large Deflections,” NACA, Technical Note 847.
Mitchell, J. A. and Reddy, J. N. (1995), “A Refined Hybrid Plate Theory for Composite
Laminates with Piezoelectric Laminae.” International Journal of Solids and Structures,
32(16), 2345-2367.
Mindlin, R. D. (1951), “Influence of rotary inertia on flexural motion of isotropic elastic
plates,” Journal of Applied Mechanics, 18, 31-38.
Moore, J. (2005), “Finite Element Analysis of Piezothermoelastic Composite Plate
Structures.” Master of Science Defense, University of Kentucky, Lexington, KY,
Unpublished Report.
Mota, A. and Abel, J. F. (2000), “On Mixed Finite Element Formulations and Stress
Recovery Techniques,” International Journal for Numerical Methods in Engineering, 47,
191-204.
Newmark, N. M. (1959), “A Method of Computation for Structural Dynamics,” Journal
of Engineering Mechanics Division, ASCE, 85, 67-94.
Oh, I., K., Han, J. H., and Lee, I. (2000), “Postbuckling and Vibration Characteristics of
Piezolaminated Composite Plate Subject to Thermopiezoelectric Loads,” Journal of
Sound and Vibrations, 233, 19-40.
Oh, I., K. (2005), “Thermopiezoelastic Nonlinear Dynamics of Active Piezolaminated
Plates,” Smart Materials and Structures, 14, 823-834.
214
Pica, A., Wood, R. D., and Hinton, E. (1980), “Finite Element Analysis of Geometrically
Nonlinear Plate Behaviour Using a Mindlin Formulation,” Computers and Structures, 11,
203-215.
Piltner, R. and Joseph, D. S. (2001), “A Mixed Finite Element for Plate bending with
Eight Enhanced Strain Modes,” Communications in Numerical Methods in Engineering,
17, 443-454.
Prabhu, M. R. and Dhanaraj, R. (1994), “Thermal Buckling of Laminated Composite
Plates,” Computers and Structures, 53(5), 1193-1204.
Pryor, C. W. and Barker, R. M. (1971), “A Finite Element Analysis Including Transverse
Shear Effects for Application to Laminated Plates,” AIAA Journal, 9(5), 912-917.
Raja, S., Sinha, P. K., Prathap, G., and Dwarakanathan, D. (2004), “Thermally Induced
Vibration Control of Composite Plates and Shells with Piezoelectric Active Damping,”
Smart Materials and Structures, 13, 939-950.
Ramm, E. (1981), “Strategies for Tracing Nonlinear Response Near Limit Point,”
Nonlinear Finite Element Analysis in Structural Mechanics, W. Wunderlich, E. Stein and
K.J. Bathe (Eds.), Springer-Verlag, NY, 63-89.
Reddy, J. N. (1983a), “Dynamic (Transient) Analysis of Layered Anisotropic CompositeMaterial Plates,” International Journal for Numerical Methods in Engineering, 19, 23755.
Reddy, J. N. (1983b), “Geometrically Nonlinear Transient Analysis of Laminated
Composite Plates,” AIAA Journal, 21(4), 621-629.
215
Reddy, J. N. (2004), Mechanics of Laminated Composite Plates: Theory and Analysis,
Second Edition, CRC Press, New York, NY.
Reissner, E. (1945), “The Effect of Transverse Shear Deformations on the Bending of
Elastic Plates,” Journal of Applied Mechanics. 12, 69-77.
Saravanos, D.A. (1997), “Coupled Mixed-Field Laminate Theory and Finite Element for
Smart Piezoelectric Composite Shell Structures.” AIAA Journal, 35(8), 1327-1333.
Saravanos, D. A., Heyliger, P. R., and Hopkins, D. A. (1997), “Layerwise Mechanics and
Finite Element for the Dynamic Analysis of Piezoelectric Composite Plates,”
International Journal of Solids and Structures, 34, 359-378.
Shukla, K. K. and Nath, Y. (2002), “Buckling of Laminated Composite Rectangular
Plates Under Transient Thermal Loading,” Journal of Applied Mechanics, 69(5), 684692.
Suleman, A. and Venkayya, V. B., (1995), “A Simple Finite Element Formulation for
Laminated Composite Plate with Piezoelectric Layers,” Journal of Intelligent Material
Systems and Structures, 6, 776-782.
Tauchert, T. R. (1987), “Thermal Buckling of Thick Antisymmetric Angle-Ply
Laminates,” Journal of Thermal Stresses, 10, 113-124
Tauchert, T. R. (1997), “Plane Piezothermoelastic Response of a Hybrid Laminate - A
Benchmark Problem,” Composite Structures, 39, 329-336.
Tauchert, T. R. and Huang, N. N. (1987). “Thermal Buckling of Symmetric Angle-Ply
Laminated Plates.” Composite Structures, Proceedings of the Fourth International
Conference on Composite Structures, 4, I. N. Marshall, ed., Elsevier, Paisley, U.K.,
1424–1435.
216
Thangaratnam, K. R., Palaninathan, R., and Ramachandran, J. (1989), “Thermal Buckling
of Composite Laminated Plates,” Computers and Structures, 32(5), 1117-1124.
Timoshenko, S. P. and Gere, J. M., (1961), Theory of Elastic Stability, Second Edition,
Mcgraw-Hill, New York, NY.
Timoshenko, S. P. and Woinowsky-Krieger, S., (1959), Theory of Plates and Shells,
Second Edition, McGraw-Hill, New York, NY.
Tseng, C. I. (1989), Electromechnical Dynamics of a Coupled Pizoelectric-Mechanical
System Applied to Vibration Control and Distributed Sensing, Ph.D. Dissertation,
University of Kentucky, Lexington, KY.
Tzou, H. S. (1993), Piezoelectric Shells (Distributed Sensing and Control of Continua),
Kluwer Academic Publishers, Boston, MA.
Tzou, H. S. and Bao, Y., 1994, “Modeling of Thick Anisotropic Composite Triclinic
Piezoelectric Shell Transducer Laminates,” Journal of Smart Materials and Structures, 3,
285-292.
Tzou, H. S. and Bao, Y., (1995), “A Theory on Anisotropic Piezothermoelastic Shell
Laminae with Sensor/Actuator Applications,” Journal of Sound and Vibration, 184(3),
453-473.
Tzou, H. S. and Gadre, M. (1989), “Active Vibration Isolation and Excitation by
Piezoelectric Slab with Constant Feedback Gains,” Journal of Sound and Vibration,
136(3), 477-490.
217
Tzou, H. S. and Tseng, C. I. (1990), “Distributed Piezoelectric Sensor/Actuator Design
for Dynamic Measurement/Control of Distributed Parameter Systems: A Piezoelectric
Finite Element Approach,” Journal of Sound and Vibration, 138 (1), 17-34.
Tzou, H. S. and Ye, R. (1994), “Piezothermoelasticity and Precision Control of
Piezoelectric Systems: Theory and Finite Element Analysis,” ASME Transactions, Journal
of Vibration and Acoustics, 116(4), 489-495.
Tzou, H. S. and Ye, R. (1996a), “Analysis of Piezoelastic Structures with Laminated
Piezoelectric Triangle Shell Elements,” AIAA Journal, 34(1), 110-115.
Tzou, H. S. and Ye, R. (1996b), “Pyroelectric and Thermal Strain Effects in Piezoelectric
(PVDF and PZT) Devices,” Journal of Mechanical Systems and Signal Processing, 10(4),
459-479.
Tzou, H. S. and Zhou, Y. H. (1995), “Dynamics and Control of Nonlinear Circular Plates
with Piezoelectric Actuators,” Journal of Sound and Vibration, 188(2), 189-207.
Tzou, H. S. and Zhou, Y.H. (1997), “Nonlinear Piezothermoelasticity and Multi-Field
Actutations, Part 2: Control of Nonlinear Buckling and Dynamics,” ASME Transaction,
Journal of Vibration and Acoustics, 119, 382-389.
Varelis, D. and Saravanos, D. A., (2002), “Nonlinear Coupled Mechanics and Initial
Buckling of Composite Plates with Piezoelectric Actuators and Sensors,” Journal of
Smart Materials and Structures, 11, 330-336.
Varelis, D. and Saravanos, D. A., (2004), “Coupled Buckling and Post-Buckling Analysis
of Active Laminated Piezoelectric Composite Plates,” International Journal of Solids and
Structures, 41, 1519-1538.
218
Varelis, D. and Saravanos, D. A., (2006), “Small-Amplitude Free-Vibration Analysis of
Piezoelectric Composite Plates Subject to Large Deflections and Initial Stresses,” Journal
of Vibration and Acoustics, 128(1), 41-49.
Veubeke, B. Fraeijs De (1965), “Displacement and Equilibrium Models in the Finite
Element Mehod,” In: Zienkiewicz, O. C. and Holister, G. S. Editors, Stress Analysis,
Wiley, New York.
Verijenko, V.E. (1993), “Nonlinear Analysis of Laminated Composite Plates and Shells
Including the Effects of Shear and Normal Deformation,” Composite Structures, 25, 173185.
Wang, Q. and Quek, S. T., (2000), “Flexural Vibration Analysis of Sandwich Beam
Coupled with Piezoelectric Actuator,” Smart Materials and Structures, 9(1), 103-109.
Wang, D. W. (2003), “Dynamics and Distributed Control of Geometrically Nonlinear
Active Piezothermoelastic Structonic Systems Using the Finite Element Technique,”
Ph.D. Dissertation, University of Kentucky, Lexington, KY.
Wang, D. W., Tzou, H. S., and Lee, H. J., (2004), “Control of Nonlinear Electro/Elastic
Beam and Plate Systems (Finite Element Formulation and Analysis),” Journal of
Vibration and Acoustics, 126(1), 63-70.
Washizu.K. (1975), Variational methods in elasticity and plasticity, Second Edition,
Pergamon Press.
Whitney, J. M. (1987), Structural Analysis of Laminated Anisotropic Plates, Technomic,
Lancaster, PA.
219
Ye, R. (1996), “Active Piezothermoelastic Composite Systems: Finite Element
Development and Analysis,” Ph.D. Dissertation, University of Kentucky, Lexington,
KY.
Xu, K., Noor, A. K., and Tang, Y. Y. (1995), “Three-Dimensional Solutions for Coupled
Thermoelectroelastic Response of Multilayered Plates,” Computer Methods in Applied
Mechanics and Engineering, 126, 355-371.
Zeinkiewicz, O. C. and Taylor, R. L. (2000), The Finite Element Method, Volume 1 The
Basis, Fifth Edition, Butterworth-Heineman, Boston.
Zeinkiewicz, O. C. and Taylor,R. L. (2000), The Finite Element Method, Volume 2 Solid
Mechanics, Fifth Edition, Butterworth-Heineman, Boston.
Zienkiewicz, O. C., Too, J., and Taylor, R. L. (1971), “Reduced Integration Technique in
General Analysis of Plates and Shells,” International Journal for Numerical Methods in
Engineering, 3, 275-90.
220
Download