메뉴 건너뛰기




Volumn 222, Issue 1, 2007, Pages 374-390

Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method

Author keywords

Artificial viscosity; Functionally graded material; Meshless method; Wave propagation

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONALLY GRADED MATERIALS; HYDRODYNAMICS; HYDROSTATIC PRESSURE; SHOCK WAVES; VISCOSITY;

EID: 33846785119     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.07.028     Document Type: Article
Times cited : (74)

References (31)
  • 2
    • 0018912977 scopus 로고
    • Finite plane strain deformations of rubberlike materials
    • Batra R.C. Finite plane strain deformations of rubberlike materials. Int. J. Numer. Methods Eng. 15 (1980) 145-160
    • (1980) Int. J. Numer. Methods Eng. , vol.15 , pp. 145-160
    • Batra, R.C.1
  • 3
    • 85190136884 scopus 로고    scopus 로고
    • M. Yamanouchi, M. Koizumi, T. Hirai, I. Shiota, in: M. Yamanouchi, M. Koizumi, T. Hirai, I. Shioda (Eds.), Proc. First Int. Symp. Functionally Graded Materials, Sendi, Tokyo 1990.
  • 5
    • 18144415858 scopus 로고    scopus 로고
    • Crack propagation due to brittle and ductile failures in microporous thermoelastoviscoplastic functionally graded materials
    • Batra R.C., and Love B.M. Crack propagation due to brittle and ductile failures in microporous thermoelastoviscoplastic functionally graded materials. Eng. Fract. Mech. 72 (2005) 1954-1979
    • (2005) Eng. Fract. Mech. , vol.72 , pp. 1954-1979
    • Batra, R.C.1    Love, B.M.2
  • 6
    • 0000227030 scopus 로고    scopus 로고
    • One-dimensional wave propagation in a functionally graded elastic medium
    • Chiu T.-C., and Erdogan F. One-dimensional wave propagation in a functionally graded elastic medium. J. Sound Vib. 222 (1999) 453-487
    • (1999) J. Sound Vib. , vol.222 , pp. 453-487
    • Chiu, T.-C.1    Erdogan, F.2
  • 7
    • 5444259294 scopus 로고    scopus 로고
    • Modified smoothed particle hydrodynamics method and its application to transient problems
    • Zhang G.M., and Batra R.C. Modified smoothed particle hydrodynamics method and its application to transient problems. Comput. Mech. 34 (2004) 137-146
    • (2004) Comput. Mech. , vol.34 , pp. 137-146
    • Zhang, G.M.1    Batra, R.C.2
  • 8
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • Lucy L.B. A numerical approach to the testing of the fission hypothesis. Astron. J. 82 (1977) 1013-1024
    • (1977) Astron. J. , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 9
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: theory and application to non-spherical stars
    • Gingold R.A., and Monaghan J.J. Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 181 (1977) 375-389
    • (1977) Mon. Not. R. Astron. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 10
    • 0001911840 scopus 로고
    • High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response
    • Libersky L.D., and Petschek A.G. High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response. J. Comput. Phys. 109 (1993) 67-75
    • (1993) J. Comput. Phys. , vol.109 , pp. 67-75
    • Libersky, L.D.1    Petschek, A.G.2
  • 11
    • 0033121923 scopus 로고    scopus 로고
    • An improvement for tensile instability in smoothed particle hydrodynamics
    • Chen J.K., Beraun J.E., and Jih C.J. An improvement for tensile instability in smoothed particle hydrodynamics. Comput. Mech. 23 (1999) 279-287
    • (1999) Comput. Mech. , vol.23 , pp. 279-287
    • Chen, J.K.1    Beraun, J.E.2    Jih, C.J.3
  • 12
    • 0010712183 scopus 로고    scopus 로고
    • Completeness of corrective smoothed particle method for linear elastodynamics
    • Chen J.K., Beraun J.E., and Jih C.J. Completeness of corrective smoothed particle method for linear elastodynamics. Comput. Mech. 24 (1999) 273-285
    • (1999) Comput. Mech. , vol.24 , pp. 273-285
    • Chen, J.K.1    Beraun, J.E.2    Jih, C.J.3
  • 13
    • 13844292593 scopus 로고    scopus 로고
    • Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method
    • Batra R.C., and Zhang G.M. Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method. J. Comput. Phys. 201 (2004) 172-190
    • (2004) J. Comput. Phys. , vol.201 , pp. 172-190
    • Batra, R.C.1    Zhang, G.M.2
  • 15
    • 0141567776 scopus 로고    scopus 로고
    • The use of graded finite elements in the study of elastic wave propagation in continuously nonhomogeneous materials
    • Santare M.H., Thamburaj P., and Gazonas G.A. The use of graded finite elements in the study of elastic wave propagation in continuously nonhomogeneous materials. Int. J. Solids Struct. 40 (2003) 5621-5634
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 5621-5634
    • Santare, M.H.1    Thamburaj, P.2    Gazonas, G.A.3
  • 16
    • 0032683892 scopus 로고    scopus 로고
    • Stress waves in functionally gradient materials and its use for material characterization
    • Liu G.R., Han X., and Lam K.Y. Stress waves in functionally gradient materials and its use for material characterization. Compos.: Part B 30 (1999) 383-394
    • (1999) Compos.: Part B , vol.30 , pp. 383-394
    • Liu, G.R.1    Han, X.2    Lam, K.Y.3
  • 17
    • 0035923349 scopus 로고    scopus 로고
    • Transient waves in plates of functionally graded materials
    • Han X., Liu G.R., and Lam K.Y. Transient waves in plates of functionally graded materials. Int. J. Numer. Methods Eng. 52 (2001) 851-865
    • (2001) Int. J. Numer. Methods Eng. , vol.52 , pp. 851-865
    • Han, X.1    Liu, G.R.2    Lam, K.Y.3
  • 18
    • 0026157074 scopus 로고
    • Coherent wave propagation in inhomogeneous materials: a comparison of theoretical models
    • Harker A.H., and Ogilvy J.A. Coherent wave propagation in inhomogeneous materials: a comparison of theoretical models. Ultrasonics 29 (1991) 235-244
    • (1991) Ultrasonics , vol.29 , pp. 235-244
    • Harker, A.H.1    Ogilvy, J.A.2
  • 19
    • 1442290791 scopus 로고    scopus 로고
    • Free and forced vibrations of thick rectangular plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin (MLPG) method
    • Qian L.F., Batra R.C., and Chen L.M. Free and forced vibrations of thick rectangular plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin (MLPG) method. CMES: Comput. Model. Eng. Sci. 4 (2003) 519-534
    • (2003) CMES: Comput. Model. Eng. Sci. , vol.4 , pp. 519-534
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 20
    • 85010190064 scopus 로고    scopus 로고
    • Static and dynamic deformations of thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method
    • Qian L.F., Batra R.C., and Chen L.M. Static and dynamic deformations of thick functionally graded elastic plate by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method. Compos.: part B 35 (2004) 685-697
    • (2004) Compos.: part B , vol.35 , pp. 685-697
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 21
    • 3042699920 scopus 로고    scopus 로고
    • Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petrov-Galerkin method
    • Qian L.F., Batra R.C., and Chen L.M. Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petrov-Galerkin method. Comput. Mech. 33 (2004) 263-273
    • (2004) Comput. Mech. , vol.33 , pp. 263-273
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 22
    • 4043179119 scopus 로고    scopus 로고
    • Transient thermoelastic deformations of a thick functionally graded plate
    • Qian L.F., and Batra R.C. Transient thermoelastic deformations of a thick functionally graded plate. J. Therm. Stresses 27 (2004) 705-740
    • (2004) J. Therm. Stresses , vol.27 , pp. 705-740
    • Qian, L.F.1    Batra, R.C.2
  • 23
    • 17844395970 scopus 로고    scopus 로고
    • Natural frequencies of a functionally graded rectangular plate
    • Batra R.C., and Jin J. Natural frequencies of a functionally graded rectangular plate. J. Sound Vib. 282 (2005) 509-516
    • (2005) J. Sound Vib. , vol.282 , pp. 509-516
    • Batra, R.C.1    Jin, J.2
  • 24
    • 18844449186 scopus 로고    scopus 로고
    • Natural frequencies of orthotropic, monoclinic and hexagonal plates by a meshless method
    • Ferreira A., and Batra R.C. Natural frequencies of orthotropic, monoclinic and hexagonal plates by a meshless method. J. Sound Vib. 285 (2005) 734-742
    • (2005) J. Sound Vib. , vol.285 , pp. 734-742
    • Ferreira, A.1    Batra, R.C.2
  • 25
    • 25444482823 scopus 로고    scopus 로고
    • Vibrations of cracked Euler-Bernoulli beams using meshless local Petrov-Galerkin (MLPG) Method
    • Andreaus U., Batra R.C., and Porfiri M. Vibrations of cracked Euler-Bernoulli beams using meshless local Petrov-Galerkin (MLPG) Method. CMES: Comput. Model. Eng. Sci. 9 (2005) 111-131
    • (2005) CMES: Comput. Model. Eng. Sci. , vol.9 , pp. 111-131
    • Andreaus, U.1    Batra, R.C.2    Porfiri, M.3
  • 27
    • 85190128703 scopus 로고    scopus 로고
    • R.C. Batra, M. Porfiri, D. Spinello, Free and forced vibrations of a segmented bar by a meshless local Petrov-Galerkin (MLPG) formulation, Comput. Mech., doi:10.1007/s00466.006.0049.6.
  • 28
    • 85190126339 scopus 로고    scopus 로고
    • LS-DYNA theoretical manual, Livermore Software Technology Corporation, 1998.
  • 30
    • 0345581244 scopus 로고    scopus 로고
    • Numerical analysis of high speed concrete fragmentation using a meshfree Lagrangian method
    • Rabczuk T., Eibl J., and Stempniewski L. Numerical analysis of high speed concrete fragmentation using a meshfree Lagrangian method. Eng. Fract. Mech. 71 (2004) 547-556
    • (2004) Eng. Fract. Mech. , vol.71 , pp. 547-556
    • Rabczuk, T.1    Eibl, J.2    Stempniewski, L.3
  • 31
    • 0030188684 scopus 로고    scopus 로고
    • Artificial viscosity effects for SPH impact computations
    • Johnson G.R. Artificial viscosity effects for SPH impact computations. Int. J. Impact Eng. 18 (1996) 477-488
    • (1996) Int. J. Impact Eng. , vol.18 , pp. 477-488
    • Johnson, G.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.