메뉴 건너뛰기




Volumn 33, Issue 8-9, 2009, Pages 1089-1099

Inverse fracture problems in piezoelectric solids by local integral equation method

Author keywords

Dynamic loading; Functionally graded materials; Intensity factors; Meshless local Petrov Galerkin method (MLPG); Moving least squares interpolation; Piezoelectric solids

Indexed keywords

DYNAMIC LOADING; INTENSITY FACTORS; MESHLESS LOCAL PETROV-GALERKIN METHOD (MLPG); MOVING LEAST-SQUARES INTERPOLATION; PIEZOELECTRIC SOLIDS;

EID: 67349167645     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2009.02.009     Document Type: Article
Times cited : (7)

References (50)
  • 1
    • 67349181217 scopus 로고    scopus 로고
    • A local integral equation method for dynamic analysis in functionally graded piezoelectric materials
    • Minutolo V., and Aliabadi M.H. (Eds), Copyright EC, Ltd., United Kingdom
    • Sladek J., Sladek V., and Zhang Ch. A local integral equation method for dynamic analysis in functionally graded piezoelectric materials. In: Minutolo V., and Aliabadi M.H. (Eds). Advances in boundary element techniques VIII (2007), Copyright EC, Ltd., United Kingdom 141-148
    • (2007) Advances in boundary element techniques VIII , pp. 141-148
    • Sladek, J.1    Sladek, V.2    Zhang, Ch.3
  • 2
    • 33845315531 scopus 로고    scopus 로고
    • Finite element analyses of cracks in piezoelectric structures-a survey
    • Kuna M. Finite element analyses of cracks in piezoelectric structures-a survey. Archives of Applied Mechanics 76 (2006) 725-745
    • (2006) Archives of Applied Mechanics , vol.76 , pp. 725-745
    • Kuna, M.1
  • 4
    • 0003285346 scopus 로고
    • Electric-potential CT method based on BEM inverse análisis for measurement of three-dimensional cracks
    • Kubo S. (Ed), Springer, Berlin
    • Kubo S., Sakagami T., and Ojhi K. Electric-potential CT method based on BEM inverse análisis for measurement of three-dimensional cracks. In: Kubo S. (Ed). Proceedings of international conference on computational mechanics vol. 339 (1986), Springer, Berlin
    • (1986) Proceedings of international conference on computational mechanics , vol.339
    • Kubo, S.1    Sakagami, T.2    Ojhi, K.3
  • 5
    • 0006308876 scopus 로고
    • Boundary element method applied to some inverse problems
    • Tanaka M., and Masuda Y. Boundary element method applied to some inverse problems. Engineering Analysis 3 (1986) 138-143
    • (1986) Engineering Analysis , vol.3 , pp. 138-143
    • Tanaka, M.1    Masuda, Y.2
  • 7
    • 0020943885 scopus 로고
    • Some applications of boundary element method for evaluation of the deformation of tool and calculation of the residual stress distribution in product in the plastic working process
    • Brebbia C.A., Futagami T., and Tanaka M. (Eds), Springer, Berlin
    • Kihara J., Shen G., Yamauchi T., Mimura H., Makino L., and Liu B. Some applications of boundary element method for evaluation of the deformation of tool and calculation of the residual stress distribution in product in the plastic working process. In: Brebbia C.A., Futagami T., and Tanaka M. (Eds). Boundary element proceedings of the fifth international conference (1983), Springer, Berlin 393-405
    • (1983) Boundary element proceedings of the fifth international conference , pp. 393-405
    • Kihara, J.1    Shen, G.2    Yamauchi, T.3    Mimura, H.4    Makino, L.5    Liu, B.6
  • 8
    • 0023994993 scopus 로고
    • Inverse problems related to the mechanics and fracture of solids and structures
    • Kubo S. Inverse problems related to the mechanics and fracture of solids and structures. JSME International Journal 31 (1988) 157-166
    • (1988) JSME International Journal , vol.31 , pp. 157-166
    • Kubo, S.1
  • 12
    • 0027663474 scopus 로고
    • An inverse problem in elasticity with partially overspecified boundary conditions, I. Theoretical approach
    • Yeih W.C., Koya T., and Mura T. An inverse problem in elasticity with partially overspecified boundary conditions, I. Theoretical approach. ASME Journal of Applied Mechanics 60 (1993) 595-600
    • (1993) ASME Journal of Applied Mechanics , vol.60 , pp. 595-600
    • Yeih, W.C.1    Koya, T.2    Mura, T.3
  • 13
    • 0027659551 scopus 로고
    • An inverse problem in elasticity with partially overspecified boundary conditions, II. Numerical details
    • Koya T., Yeih W.C., and Mura T. An inverse problem in elasticity with partially overspecified boundary conditions, II. Numerical details. ASME Journal of Applied Mechanics 60 (1993) 601-606
    • (1993) ASME Journal of Applied Mechanics , vol.60 , pp. 601-606
    • Koya, T.1    Yeih, W.C.2    Mura, T.3
  • 15
    • 0037053182 scopus 로고    scopus 로고
    • Boundary element solution for Cauchy problem in linear elasticity using singular value decomposition
    • Marin L., and Lesnic D. Boundary element solution for Cauchy problem in linear elasticity using singular value decomposition. Computer Methods in Applied Mechanics and Engineering 191 (2002) 3257-3270
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 3257-3270
    • Marin, L.1    Lesnic, D.2
  • 16
    • 2342463081 scopus 로고    scopus 로고
    • The method of fundamental solution for the Cauchy problem in two-dimensional linear elasticity
    • Marin L., and Lesnic D. The method of fundamental solution for the Cauchy problem in two-dimensional linear elasticity. International Journal of Solids and Structures 41 (2004) 3425-3438
    • (2004) International Journal of Solids and Structures , vol.41 , pp. 3425-3438
    • Marin, L.1    Lesnic, D.2
  • 17
    • 2942552709 scopus 로고    scopus 로고
    • A method for determination of stress distributions in the process zone ahead of a 2D crack
    • Sarler B., and Brebbia C.A. (Eds), WIT Press, Southampton
    • Galybin A.N. A method for determination of stress distributions in the process zone ahead of a 2D crack. In: Sarler B., and Brebbia C.A. (Eds). Moving Boundaries VI (2001), WIT Press, Southampton 243-252
    • (2001) Moving Boundaries VI , pp. 243-252
    • Galybin, A.N.1
  • 18
    • 0025489115 scopus 로고
    • Crack extension force in a piezoelectric material
    • Pak Y.E. Crack extension force in a piezoelectric material. ASME Journal of Applied Mechanics 57 (1990) 647-653
    • (1990) ASME Journal of Applied Mechanics , vol.57 , pp. 647-653
    • Pak, Y.E.1
  • 19
    • 0028744788 scopus 로고
    • Effect of electric field on fracture of piezoelectric ceramics
    • Park S.B., and Sun C.T. Effect of electric field on fracture of piezoelectric ceramics. International Journal of Fracture 70 (1995) 203-216
    • (1995) International Journal of Fracture , vol.70 , pp. 203-216
    • Park, S.B.1    Sun, C.T.2
  • 20
    • 0030111963 scopus 로고    scopus 로고
    • Electroelastic intensification near anti-plane shear crack in orthotropic piezoelectric ceramic strip
    • Shindo Y., Narita F., and Tanaka K. Electroelastic intensification near anti-plane shear crack in orthotropic piezoelectric ceramic strip. Theoretical and Applied Fracture Mechanics 25 (1996) 65-71
    • (1996) Theoretical and Applied Fracture Mechanics , vol.25 , pp. 65-71
    • Shindo, Y.1    Narita, F.2    Tanaka, K.3
  • 21
    • 0030734407 scopus 로고    scopus 로고
    • Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear
    • Shindo Y., Tanaka K., and Narita F. Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear. Acta Mechanica 120 (1997) 31-45
    • (1997) Acta Mechanica , vol.120 , pp. 31-45
    • Shindo, Y.1    Tanaka, K.2    Narita, F.3
  • 22
    • 0034923971 scopus 로고    scopus 로고
    • Penny-shaped crack in a three-dimensional piezoelectric strip under in-plane normal loadings
    • Yang J.H., and Lee K.Y. Penny-shaped crack in a three-dimensional piezoelectric strip under in-plane normal loadings. Acta Mechanica 148 (2001) 187-197
    • (2001) Acta Mechanica , vol.148 , pp. 187-197
    • Yang, J.H.1    Lee, K.Y.2
  • 23
    • 0037411311 scopus 로고    scopus 로고
    • Finite element analysis of cracks in piezoelectric materials taking into account the permittivity of the crack medium
    • Gruebner O., Kamlah M., and Munz D. Finite element analysis of cracks in piezoelectric materials taking into account the permittivity of the crack medium. Engineering Fracture Mechanics 70 (2003) 1399-1413
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1399-1413
    • Gruebner, O.1    Kamlah, M.2    Munz, D.3
  • 24
    • 10044284429 scopus 로고    scopus 로고
    • Asymptotic fields in the finite element analysis of electrically permeable interfacial cracks in piezoelectric bimaterials
    • Govorukha V., and Kamlah M. Asymptotic fields in the finite element analysis of electrically permeable interfacial cracks in piezoelectric bimaterials. Archives of Applied Mechanics 74 (2004) 92-101
    • (2004) Archives of Applied Mechanics , vol.74 , pp. 92-101
    • Govorukha, V.1    Kamlah, M.2
  • 25
    • 27844441336 scopus 로고    scopus 로고
    • Finite element techniques for dynamic crack analysis in piezoelectrics
    • Enderlein M., Ricoeur A., and Kuna M. Finite element techniques for dynamic crack analysis in piezoelectrics. International Journal of Fracture 134 (2005) 191-208
    • (2005) International Journal of Fracture , vol.134 , pp. 191-208
    • Enderlein, M.1    Ricoeur, A.2    Kuna, M.3
  • 26
    • 0002332950 scopus 로고    scopus 로고
    • Finite element analyses of crack problems in piezoelectric structures
    • Kuna M. Finite element analyses of crack problems in piezoelectric structures. Computational Materials Science 13 (1998) 67-80
    • (1998) Computational Materials Science , vol.13 , pp. 67-80
    • Kuna, M.1
  • 27
    • 0032785979 scopus 로고    scopus 로고
    • A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids
    • Pan E. A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids. Engineering Analysis with Boundary Elements 23 (1999) 67-76
    • (1999) Engineering Analysis with Boundary Elements , vol.23 , pp. 67-76
    • Pan, E.1
  • 28
    • 0035823057 scopus 로고    scopus 로고
    • Multidomain boundary integral formulation for piezoelectric materials fracture mechanics
    • Davi G., and Milazzo A. Multidomain boundary integral formulation for piezoelectric materials fracture mechanics. International Journal of Solids and Structures 38 (2001) 2557-2574
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 2557-2574
    • Davi, G.1    Milazzo, A.2
  • 29
    • 21844437611 scopus 로고    scopus 로고
    • 2D wave scattering by a crack in a piezoelectric plane using traction BIEM
    • Gross D., Rangelov T., and Dineva P. 2D wave scattering by a crack in a piezoelectric plane using traction BIEM. SID: Structural Integrity & Durability 1 (2005) 35-47
    • (2005) SID: Structural Integrity & Durability , vol.1 , pp. 35-47
    • Gross, D.1    Rangelov, T.2    Dineva, P.3
  • 30
    • 14044269437 scopus 로고    scopus 로고
    • Anisotropic and piezoelectric materials fracture analysis by BEM
    • Garcia-Sanchez F., Saez A., and Dominguez J. Anisotropic and piezoelectric materials fracture analysis by BEM. Computers and Structures 83 (2005) 804-820
    • (2005) Computers and Structures , vol.83 , pp. 804-820
    • Garcia-Sanchez, F.1    Saez, A.2    Dominguez, J.3
  • 32
    • 32144445473 scopus 로고    scopus 로고
    • Multi-region Trefftz boundary element method for fracture analysis in plane piezoelectricity
    • Sheng N., and Sze K.Y. Multi-region Trefftz boundary element method for fracture analysis in plane piezoelectricity. Computational Mechanics 37 (2006) 381-393
    • (2006) Computational Mechanics , vol.37 , pp. 381-393
    • Sheng, N.1    Sze, K.Y.2
  • 33
    • 0035088255 scopus 로고    scopus 로고
    • Meshless analysis of piezoelectric devices
    • Ohs R.R., and Aluru N.R. Meshless analysis of piezoelectric devices. Computational Mechanics 27 (2001) 23-36
    • (2001) Computational Mechanics , vol.27 , pp. 23-36
    • Ohs, R.R.1    Aluru, N.R.2
  • 34
    • 0036869273 scopus 로고    scopus 로고
    • A point interpolation mesh free method for static and frequency analysis of two-dimensional piezoelectric structures
    • Liu G.R., Dai K.Y., Kim K.M., and Gu Y.T. A point interpolation mesh free method for static and frequency analysis of two-dimensional piezoelectric structures. Computational Mechanics 29 (2002) 510-519
    • (2002) Computational Mechanics , vol.29 , pp. 510-519
    • Liu, G.R.1    Dai, K.Y.2    Kim, K.M.3    Gu, Y.T.4
  • 35
    • 0242346713 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations
    • Atluri S.N., Han Z.D., and Shen S. Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. CMES: Computer Modeling in Engineering & Sciences 4 (2003) 507-516
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , pp. 507-516
    • Atluri, S.N.1    Han, Z.D.2    Shen, S.3
  • 43
    • 35748937616 scopus 로고    scopus 로고
    • Evaluation of fracture parameters in continuously nonhomogeneous piezoelectric solids
    • Sladek J., Sladek V., Zhang Ch., Solek P., and Pan E. Evaluation of fracture parameters in continuously nonhomogeneous piezoelectric solids. International Journal of Fracture 145 (2007) 313-326
    • (2007) International Journal of Fracture , vol.145 , pp. 313-326
    • Sladek, J.1    Sladek, V.2    Zhang, Ch.3    Solek, P.4    Pan, E.5
  • 45
    • 34249842060 scopus 로고
    • Linear electro-elastic fracture mechanics of piezoelectric materials
    • Pak Y.E. Linear electro-elastic fracture mechanics of piezoelectric materials. International Journal of Fracture 54 (1992) 79-100
    • (1992) International Journal of Fracture , vol.54 , pp. 79-100
    • Pak, Y.E.1
  • 46
    • 0028744788 scopus 로고
    • Effect of electric field on fracture of piezoelectric ceramics
    • Park S.B., and Sun C.T. Effect of electric field on fracture of piezoelectric ceramics. International Journal of Fracture 70 (1995) 203-216
    • (1995) International Journal of Fracture , vol.70 , pp. 203-216
    • Park, S.B.1    Sun, C.T.2
  • 49
    • 0032186742 scopus 로고    scopus 로고
    • The boundary element solution of the Laplace and biharmonic equations subjected to noisy boundary data
    • Lesnic D., Elliot L., and Ingham D.B. The boundary element solution of the Laplace and biharmonic equations subjected to noisy boundary data. International Journal for Numerical Methods in Engineering 43 (1998) 479-492
    • (1998) International Journal for Numerical Methods in Engineering , vol.43 , pp. 479-492
    • Lesnic, D.1    Elliot, L.2    Ingham, D.B.3
  • 50
    • 33846990077 scopus 로고    scopus 로고
    • The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
    • Jin B., and Marin L. The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction. International Journal for Numerical Methods in Engineering 69 (2007) 1570-1589
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , pp. 1570-1589
    • Jin, B.1    Marin, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.