메뉴 건너뛰기




Volumn 19, Issue 3, 2007, Pages 247-262

Fracture analyses in continuously nonhomogeneous piezoelectric solids by the MLPG

Author keywords

2 D and 3 D axisymmetric problems; Functionally graded materials; Meshless local petrov galerkin method (MLPG); Moving least squares (MLS) interpolation; Piezoelectric solids

Indexed keywords

BOUNDARY CONDITIONS; CRACK PROPAGATION; FUNCTIONALLY GRADED MATERIALS; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING; THREE DIMENSIONAL;

EID: 34250213686     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (64)

References (46)
  • 2
    • 0033885238 scopus 로고    scopus 로고
    • The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
    • Atluri, S.N.; Sladek, J.; Sladek, V.; Zhu, T. (2000): The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Comput. Mech., 25: 180-198.
    • (2000) Comput. Mech , vol.25 , pp. 180-198
    • Atluri, S.N.1    Sladek, J.2    Sladek, V.3    Zhu, T.4
  • 3
    • 0242346713 scopus 로고    scopus 로고
    • Mesh less local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations
    • Atluri, S.N.; Han, Z.D.; Shen, S. (2003): Mesh less local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. CMES: Computer Modeling in Engineering & Sciences., 4: 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
  • 4
    • 33749874042 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics
    • Atluri, S.N.; Liu, H.T.; Han, Z.D. (2006): Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. CMES: Computer Modeling in Engineering & Sciences, 15: 1-16.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , pp. 1-16
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 6
    • 0037216651 scopus 로고    scopus 로고
    • Electromechanical impact of a crack in a functionally graded piezoelectric medium
    • Chen, J.; Liu, Z.X.; Zou, Z.Z. (2003): Electromechanical impact of a crack in a functionally graded piezoelectric medium. Theoretical and Applied Fracture Mechanics, 39: 47-60.
    • (2003) Theoretical and Applied Fracture Mechanics , vol.39 , pp. 47-60
    • Chen, J.1    Liu, Z.X.2    Zou, Z.Z.3
  • 7
    • 0035823057 scopus 로고    scopus 로고
    • Multidomain boundary integral formulation for piezoelectric materials fracture mechanics
    • Davi, G.; Milazzo, A. (2001): Multidomain boundary integral formulation for piezoelectric materials fracture mechanics. Int. J. Solids Structures, 38: 2557-2574.
    • (2001) Int. J. Solids Structures , vol.38 , pp. 2557-2574
    • Davi, G.1    Milazzo, A.2
  • 8
    • 0037198013 scopus 로고    scopus 로고
    • On computation of mixed-mode stress intensity factors in functionally graded materials
    • Dolbow, J.E.; Gosz, M. (2002): On computation of mixed-mode stress intensity factors in functionally graded materials. Int. J. Solids Structures, 39: 7065-7078.
    • (2002) Int. J. Solids Structures , vol.39 , pp. 7065-7078
    • Dolbow, J.E.1    Gosz, M.2
  • 9
    • 27844441336 scopus 로고    scopus 로고
    • Finite element techniques for dynamic crack analysis in piezoelectrics
    • Enderlein, M.; Ricoeur, A.; Kuna, M. (2005): Finite element techniques for dynamic crack analysis in piezoelectrics. International Journal of Fracture, 134: 191-208.
    • (2005) International Journal of Fracture , vol.134 , pp. 191-208
    • Enderlein, M.1    Ricoeur, A.2    Kuna, M.3
  • 10
    • 14044269437 scopus 로고    scopus 로고
    • Anisotropic and piezoelectric materials fracture analysis by BEM
    • Garcia-Sanchez, F.; Saez, A.; Dominguez, J. (2005): Anisotropic and piezoelectric materials fracture analysis by BEM. Computers & Structures, 83: 804-820.
    • (2005) Computers & Structures , vol.83 , pp. 804-820
    • Garcia-Sanchez, F.1    Saez, A.2    Dominguez, J.3
  • 12
    • 10044284429 scopus 로고    scopus 로고
    • Asymptotic fields in the finite element analysis of electrically permeable interfacial cracks in piezoelectric bimaterials
    • Govorukha, V.; Kamlah, M. (2004): Asymptotic fields in the finite element analysis of electrically permeable interfacial cracks in piezoelectric bimaterials. Archives of Applied Mechanics, 74: 92-101.
    • (2004) Archives of Applied Mechanics , vol.74 , pp. 92-101
    • Govorukha, V.1    Kamlah, M.2
  • 13
    • 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.; Munz, D. (2003): Finite element analysis of cracks in piezoelectric materials taking into account the permittivity of the crack medium. Eng. Fracture Mechanics, 70: 1399-1413.
    • (2003) Eng. Fracture Mechanics , vol.70 , pp. 1399-1413
    • Gruebner, O.1    Kamlah, M.2    Munz, D.3
  • 14
    • 21844437611 scopus 로고    scopus 로고
    • 2D wave scattering by a crack in a piezoelectric plane using traction BIEM
    • Gross, D.; Rangelov, T.; Dineva, P. (2005): 2D wave scattering by a crack in a piezoelectric plane using traction BIEM. SID: Structural Integrity & Durability, 1: 35-47.
    • (2005) SID: Structural Integrity & Durability , vol.1 , pp. 35-47
    • Gross, D.1    Rangelov, T.2    Dineva, P.3
  • 15
    • 33846077882 scopus 로고    scopus 로고
    • BIEM solution for piezoelectric cracked finite solids under time-harmonic loading
    • Gross, D.; Dineva, P.; Rangelov, T. (2007): BIEM solution for piezoelectric cracked finite solids under time-harmonic loading. Eng. Anal. with Boundary Elements, 31: 152-162.
    • (2007) Eng. Anal. with Boundary Elements , vol.31 , pp. 152-162
    • Gross, D.1    Dineva, P.2    Rangelov, T.3
  • 16
    • 33748868739 scopus 로고    scopus 로고
    • Responses of piezoelectric, transversaly isotropic, functionally graded and multilayered half spaces to uniform circular surface loading
    • Han, F.; Pan, E.; Roy, A.K.; Yue, Z.Q. (2006): Responses of piezoelectric, transversaly isotropic, functionally graded and multilayered half spaces to uniform circular surface loading. CMES: Computer Modeling in Engineering & Sciences, 14: 15-30.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.14 , pp. 15-30
    • Han, F.1    Pan, E.2    Roy, A.K.3    Yue, Z.Q.4
  • 17
    • 4344620831 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elasto-statics
    • Han, Z.D.; Atluri, S.N. (2004a): Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elasto-statics. CMES: Computer Modeling in Engineering & Sciences, 6: 169-188.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , pp. 169-188
    • Han, Z.D.1    Atluri, S.N.2
  • 18
    • 11144289714 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics
    • Han, Z.D.; Atluri, S.N. (2004b): A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics. CMC: Computers, Materials & Continua, 1: 129-140.
    • (2004) CMC: Computers, Materials & Continua , vol.1 , pp. 129-140
    • Han, Z.D.1    Atluri, S.N.2
  • 19
    • 0002332950 scopus 로고    scopus 로고
    • Finite element analyses of crack problems in piezoelectric structures
    • Kuna, M. (1998): Finite element analyses of crack problems in piezoelectric structures. Computational Materials Science, 13: 67-80.
    • (1998) Computational Materials Science , vol.13 , pp. 67-80
    • Kuna, M.1
  • 20
    • 33845315531 scopus 로고    scopus 로고
    • Finite element analyses of cracks in piezoelectric structures - a survey
    • Kuna, M. (2006): Finite element analyses of cracks in piezoelectric structures - a survey. Archives of Applied Mechanics, 76:725-745.
    • (2006) Archives of Applied Mechanics , vol.76 , pp. 725-745
    • Kuna, M.1
  • 21
    • 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.; Lim, K.M.; Gu, Y.T. (2002): A point interpolation mesh free method for static and frequency analysis of two-dimensional piezoelectric structures. Computational Mechanics, 29: 510-519.
    • (2002) Computational Mechanics , vol.29 , pp. 510-519
    • Liu, G.R.1    Dai, K.Y.2    Lim, K.M.3    Gu, Y.T.4
  • 22
    • 0035088255 scopus 로고    scopus 로고
    • Meshless analysis of piezoelectric devices
    • Ohs, R.R.; Aluru, N.R. (2001): Meshless analysis of piezoelectric devices. Computational Mechanics, 27: 23-36.
    • (2001) Computational Mechanics , vol.27 , pp. 23-36
    • Ohs, R.R.1    Aluru, N.R.2
  • 23
    • 0032785979 scopus 로고    scopus 로고
    • A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids
    • Pan, E. (1999): A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids. Engineering Analysis with Boundary Elements, 23: 67-76.
    • (1999) Engineering Analysis with Boundary Elements , vol.23 , pp. 67-76
    • Pan, E.1
  • 24
    • 0025489115 scopus 로고
    • Crack extension force in a piezoelectric material
    • Pak, Y.E. (1990): Crack extension force in a piezoelectric material. ASME J. Applied Mechanics, 57: 647-653.
    • (1990) ASME J. Applied Mechanics , vol.57 , pp. 647-653
    • Pak, Y.E.1
  • 25
    • 34249842060 scopus 로고
    • Linear electro-elastic fracture mechanics of piezoelectric materials
    • Pak, Y.E. (1992): Linear electro-elastic fracture mechanics of piezoelectric materials. International Journal of Fracture, 54: 79-100.
    • (1992) International Journal of Fracture , vol.54 , pp. 79-100
    • Pak, Y.E.1
  • 26
    • 0028744788 scopus 로고
    • Effect of electric field on fracture of piezoelectric ceramics
    • Park, S.B.; Sun, C.T (1995): Effect of electric field on fracture of piezoelectric ceramics. International Journal of Fracture, 70: 203-216.
    • (1995) International Journal of Fracture , vol.70 , pp. 203-216
    • Park, S.B.1    Sun, C.T.2
  • 29
    • 84903413201 scopus 로고    scopus 로고
    • Failure of functionally graded materials
    • Kar ihaloo B, Knauss WG, editors, Elsevier Science
    • Paulino, G.H.; Jin, Z.H.; Dodds, R.H. (2003): Failure of functionally graded materials. In: Kar ihaloo B, Knauss WG, editors, Comprehensive Structural Integrity, Volume 2, Elsevier Science, 607-644.
    • (2003) Comprehensive Structural Integrity , vol.2 , pp. 607-644
    • Paulino, G.H.1    Jin, Z.H.2    Dodds, R.H.3
  • 31
    • 0037411615 scopus 로고    scopus 로고
    • Influence of electric fields on the fracture of ferroelectric ceramics
    • Ricoeur, A.; Kuna, M. (2003): Influence of electric fields on the fracture of ferroelectric ceramics. Journal of the European Ceramic Society, 23: 1313-1328.
    • (2003) Journal of the European Ceramic Society , vol.23 , pp. 1313-1328
    • Ricoeur, A.1    Kuna, M.2
  • 32
    • 33846551209 scopus 로고    scopus 로고
    • Hypersingular BEM for dynamic fracture in 2-D piezoelectric solids
    • Saez, A.; Garcia-Sanchez, F.; Dominguez, J. (2006): Hypersingular BEM for dynamic fracture in 2-D piezoelectric solids. Comput. Meth. Appl. Mech. Eng., 196: 235-246.
    • (2006) Comput. Meth. Appl. Mech. Eng , vol.196 , pp. 235-246
    • Saez, A.1    Garcia-Sanchez, F.2    Dominguez, J.3
  • 34
    • 32144445473 scopus 로고    scopus 로고
    • Multi-region Trefftz boundary element method for fracture analysis in plane piezoelectricity
    • Sheng, N.; Sze, K.Y. (2006): Multi-region Trefftz boundary element method for fracture analysis in plane piezoelectricity. Computational Mechanics, 37: 381-393.
    • (2006) Computational Mechanics , vol.37 , pp. 381-393
    • Sheng, N.1    Sze, K.Y.2
  • 35
    • 0030111963 scopus 로고    scopus 로고
    • Electroelastic intensification near anti-plane shear crack in orthotropic piezoelectric ceramic strip
    • Shindo, Y.; Narita, F.; Tanaka, K. (1996): Electroelastic intensification near anti-plane shear crack in orthotropic piezoelectric ceramic strip. Theoretical and Applied Fracture Mechanics, 25: 65-71.
    • (1996) Theoretical and Applied Fracture Mechanics , vol.25 , pp. 65-71
    • Shindo, Y.1    Narita, F.2    Tanaka, K.3
  • 36
    • 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.; Narita, F. (1997): Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear. Acta Mechanica., 120: 31-45.
    • (1997) Acta Mechanica , vol.120 , pp. 31-45
    • Shindo, Y.1    Tanaka, K.2    Narita, F.3
  • 37
    • 0033892306 scopus 로고    scopus 로고
    • Lo cal boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
    • Sladek, J.; Sladek, V.; Atluri, S.N. (2000): Lo cal boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties. Computational Mechanics, 24: 456-462.
    • (2000) Computational Mechanics , vol.24 , pp. 456-462
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 40
    • 0000303331 scopus 로고
    • Plane problems in piezoelectric media with defects
    • Sosa, H. (1991): Plane problems in piezoelectric media with defects. Int. J. Solids Structures, 28: 491-505.
    • (1991) Int. J. Solids Structures , vol.28 , pp. 491-505
    • Sosa, H.1
  • 42
    • 0242337687 scopus 로고    scopus 로고
    • Crack in functionally graded piezoelectric strip bonded to elastic surface layers under electromechanical loading
    • Ueda, S. (2003): Crack in functionally graded piezoelectric strip bonded to elastic surface layers under electromechanical loading. Theoretical and Applied Fracture Mechanics, 40: 225-236.
    • (2003) Theoretical and Applied Fracture Mechanics , vol.40 , pp. 225-236
    • Ueda, S.1
  • 43
    • 0034923971 scopus 로고    scopus 로고
    • Penny shaped crack in a three-dimensional piezoelectric strip under in-plane normal loadings
    • Yang, J.H.; Lee, K.Y. (2001): Penny shaped crack in a three-dimensional piezoelectric strip under in-plane normal loadings. Acta Mechanica, 148: 187-197.
    • (2001) Acta Mechanica , vol.148 , pp. 187-197
    • Yang, J.H.1    Lee, K.Y.2
  • 44
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
    • Zhu, T.; Zhang, J.D.; Atluri, S.N. (1998): A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Computational Mechanics, 21: 223-235.
    • (1998) Computational Mechanics , vol.21 , pp. 223-235
    • Zhu, T.1    Zhang, J.D.2    Atluri, S.N.3
  • 45
    • 0029291458 scopus 로고
    • A functionally gradient piezoelectric actuator prepared by metallurgical process in PMN-PZ-PT system
    • Zhu, X.; Wang, Z.; Meng, A. (1995): A functionally gradient piezoelectric actuator prepared by metallurgical process in PMN-PZ-PT system. J. Mater. Sci. Lett., 14: 516-518.
    • (1995) J. Mater. Sci. Lett , vol.14 , pp. 516-518
    • Zhu, X.1    Wang, Z.2    Meng, A.3
  • 46
    • 0032626030 scopus 로고    scopus 로고
    • Microstructures of the monomorph piezoelectric ceramic actuators with functionally gradient
    • Zhu, X.; Zhu, J.; Zhou, S.; Li, Q.; Liu, Z. (1999): Microstructures of the monomorph piezoelectric ceramic actuators with functionally gradient. Sensors Actuators A, 74: 198-202.
    • (1999) Sensors Actuators A , vol.74 , pp. 198-202
    • Zhu, X.1    Zhu, J.2    Zhou, S.3    Li, Q.4    Liu, Z.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.