Three-dimensional piezoelectric boundary element method

AIAA Journal

Volumn 36, Issue 1, 1998, Pages 102-108

  Hill, L R ^a,b,c,d   Farris, T N ^a,b,d  

^a PURDUE UNIVERSITY   (United States)

^b Sch of Aeronautics and Astronautics   (United States)

^c NORTHROP GRUMMAN CORPORATION   (United States)

^d AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000137017     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.358     Document Type: Article

References (38)

1. Rogers, C. "Intelligent Material Systems - The Dawn of a New Material Age," Journal of Intelligent Materials in Systems and Structures, Vol. 4, No. 1, 1993, pp. 4-12.
2. Crawley, E. F., "Intelligent Structures for Aerospace: A Technology Overview and Assessment," AIAA Journal. Vol. 32, No. 8, 1994, pp. 1689-1699.
3. Deeg, W. F., "The Analysis of Dislocation, Crack, and Inclusion Problems in Piezoelectric Solids," Ph.D. Thesis, Stanford Univ., Stanford, CA, May 1980.
4. Sosa, H. A., "Plane Problems in piezoelectric Media with Defects," International Journal of Solids and Structures. Vol. 28, No. 4, 1991, pp. 491-505.
5. Pak, Y. E., "Linear Electro-Elastic Fracture Mechanics of Piezoelectric Materials," International Journal of Fracture, Vol. 54, No. 19, 1992, pp. 79-100.
6. Wang, B., "Three-Dimensional Analysis of an Ellipsidal Inclusion in a Piezoelectric Material," International Journal of Solids and Structrures, Vol. 29, No. 3, 1992, pp. 293-308.
7. Benveniste, Y., "On the Micromechanics of Fibrous Piezoelectric Composites," Mechanics of Materials, Vol. 18, No. 3, 1994, pp. 183-193.
8. Chen, T., and Lin, F. Z., "Numerical Evaluation of Derivatives of the Anisotropic Piezoelectric Green's Functions," Mechanics Research Communications, Vol. 20, No. 6, 1993, pp. 501-506.
9. Parton, V. L., "Fracture Mechanics of Piezoelectric Materials," Acta Astronautica, Vol. 3, No. 9-10, 1976, pp. 671-683.
10. Sosa, H. A., and Pak, Y. E., "Three-Dimensional Eigenfunction Analysis of a Crack in a Piezoelectric Material," International Journal of Solids and Structures, Vol. 26, No. 1, 1990, pp. 1-15.
11. Sosa, H. A., "On the Fracture Mechanics of Piezoelectric Solids," International Journal of Solids and Structures, Vol. 28, No. 4, 1992, pp. 2613-2622.
12. Suo, Z., Kuo, C. M., Barnett, D. M., and Willis, J. R., "Fracture Mechanics for Piezoelectric Ceramics," Journal of the Mechanics and Physics of Solids, Vol. 40, No. 4, 1992, pp. 739-765.
13. Park, S. B., and Sun, C. T., "Fracture Criteria for Piezoelectric Ceramics." Journal of the American Ceramic Society, Vol. 78, No. 6, 1995, pp. 1475-1480.
14. Zi-Kun, W., and Shang-Heng, H., "Fields Near Elliptical Crack Tip in Piezoelectric Ceramics," Engineering Fracture Mechanics, Vol. 51, No. 3, 1995, pp. 447-156.
15. Allik, H., and Hughes, T. J. R., "Finite Element Method for Piezoelectric Vibrations," International Journal for Numerical Methods in Engineering, Vol. 2, 1970, pp. 151-157.
16. Mukherjee, S., Boundary Element Methods in Creep and Fracture, Elsevier Applied Science, London, 1982.
17. Beskos, D. E., Boundary Element Methods in Mechanics. Elsevier Applied Science, London, 1987.
18. Cruse, T. A., Boundary Element Analysis in Computational Fracture Mechanics, Kluwer Academic, Norwell, MA, 1988.
19. Banerjee, P. K., and Butterfield, R., Boundary Element Methods in Engineering Science, 2nd ed., McGraw-Hill, London, 1981.
20. Rizzo, F. J., "An Integral Equation Approach 10 Boundary Value Problems of Classical Elasticity." Quarterly of Applied Mathematics. Vol. 25, 1967, pp. 83-95.
21. Rizzo, F. J., and Shippy, D. J., "A Formulation and Solution Procedure for the General Non-Homogeneous Elastic Inclusion Problem." International Journal of Solids and Structures, Vol. 4, 1968, pp. 1161-1167.
22. Cruse, A., "Numerical Soluticms in Three Dimensional Elastostatics," International Journal of Solids and Structures, Vol 5, 1969, pp. 1259-1274.
23. Chen, T., and Lin, F. Z., "Boundary Integral Formulations for Three-Dimensional Anisotropic Piezoelectric Solids," Computational Mechanics, Vol 15, No. 6, 1995, pp. 485-496
24. Lin, M., and Farris, T. N., "Boundary Element Crack Closure Calculation of Three-Dimensional Stress Intensity Factors," International Journal of Fracture, Vol. 60, No. 1, 1993, pp. 33-47.
25. Tiersten, H. F. Linear Piezoelectric Plate Vibrations, Plenum, New York, 1969.
26. "IEEE Standards on Piezoelectricity," IEEE Transactions on Sonics and Ultrasonics, Vol. 31, No. 2, 1984.
27. Barnett, D. M., and Lothe, J., "Synthesis of the Sextic and Integral Formalism for Dislocations, Green's Functions, and Surface Waves in Anisotropic Elastic Solids," Physica Norvegica, Vol. 7, No. 1, 1975, pp. 12-22.
28. Brebbia, C. A., and Dominguez, J., Boundary Elements: An Introductory Course, 1st ed., Computational Mechanics Publications, Southampton, England, UK, 1988.
29. Becker, A. A., The Boundary Element Method in Engineering, McGraw-Hill, New York, 1992.
30. Banenee. P. K., The Boundary Element Method in Engineering, 2nd ed., McGraw-Hill, London, 1994.
31. Gel'fand, I. M., Graev, M. I., and Vilenkin, N. Y., Generalized Functions, Vol. 5, Academic, New York, 1966.
32. Watson, J. O., "Advanced Implementation of the Boundary Element Method for Two- and Three-Dimensional Elastostatics," Developments in Boundary Element Methods, edited by P. Banerjee and R. Butterfield, Elsevier Applied Science, London, 1979, pp. 31-63.
33. Tan, C. L., "Three Dimensional Boundary Integral Equation Analysis of Cracked Components," Ph.D. Thesis, Imperial College, Univ. of London, London, 1979.
34. Atluri, S. N., "Higher-Order, Special and Singular Finite Elements," Survey of Finite Element Methods, edited by A. Noor and W. Pilkey, American Society of Mechanical Engineers, New York, 1980.
35. Li, H. B., Han, G. M., and Mang, H. A., "A New Method for Evaluating Singular Integrals in Stress Analysis of Solids by the Direct Boundary Element Method," International Journal for Numerical Methods in Engineering. Vol. 21, 1985, pp. 2071-2098.
36. Liu, M., and Farris, T. N., "Three-Dimensional Infinite Boundary Elements for Contact Problems," International Journal for Njumerical Methods in Engineering, Vol. 36, No. 19, 1993, pp. 3381-3398.
37. Press, W., Flannery, B., Teukolsky, S., and Vetterling, W., Numerical Recipes: The Art of Scientific Computing, Cambridge Univ. Cambridge Univ. Press, Cambrige, England, UK, 1986, Chap. 2.
38. Timoshenko, S. P., and Goodier, J. N., Theory of Elasticity, 3rd ed., McGraw-Hill, New York, 1970, pp. 392-395.