메뉴 건너뛰기




Volumn 3, Issue , 2005, Pages 1535-1549

Modelling of functionally graded and layered materials with space-time discontinuous Galerkin method

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY DISSIPATION; GALERKIN METHODS; MATHEMATICAL MODELS; MILITARY EQUIPMENT; PROBLEM SOLVING;

EID: 28844506783     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-1924     Document Type: Conference Paper
Times cited : (2)

References (27)
  • 2
    • 0015007984 scopus 로고
    • Propagation of stress waves in laminated plate composite
    • Lundergan, C. D. and Drumheller, D. S., "Propagation of Stress Waves in Laminated Plate Composite," Journal of Applied Physics, Vol. 42, 1971, pp. 669-675.
    • (1971) Journal of Applied Physics , vol.42 , pp. 669-675
    • Lundergan, C.D.1    Drumheller, D.S.2
  • 3
    • 3042625110 scopus 로고    scopus 로고
    • Analytical solution to the plate impact problem of layered heterogeneous material systems
    • Chen, X., Chandra, N., and Rajendran, A., "Analytical Solution to the Plate Impact Problem of Layered Heterogeneous Material Systems," International Journal of Solids and Structures, Vol. 41, 2004, pp. 4635-4659.
    • (2004) International Journal of Solids and Structures , vol.41 , pp. 4635-4659
    • Chen, X.1    Chandra, N.2    Rajendran, A.3
  • 4
    • 0035811673 scopus 로고    scopus 로고
    • Dynamic characterization of layered and graded structures under impulsive loading
    • Li, Y., Ramesh, K. T., and Chin, E. S. C., "Dynamic Characterization of Layered and Graded Structures Under Impulsive Loading," International Journal of Solids and Structures, Vol. 38, 2001, pp. 6045-6061.
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 6045-6061
    • Li, Y.1    Ramesh, K.T.2    Chin, E.S.C.3
  • 5
    • 0016520803 scopus 로고
    • On the influence of variations of material properties on stress wave propagation through elastic slabs
    • Lee, E. H., Budiansky., B., and Drucker, D. C., "On The Influence of Variations of Material Properties on Stress Wave Propagation Through Elastic Slabs," Journal of Applied Mechanics, Vol. 42(2), 1975, pp. 417-422.
    • (1975) Journal of Applied Mechanics , vol.42 , Issue.2 , pp. 417-422
    • Lee, E.H.1    Budiansky, B.2    Drucker, D.C.3
  • 6
    • 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," International Journal of Solids and Structures, Vol. 40, 2003, pp. 5621-5634.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 5621-5634
    • Santare, M.H.1    Thamburaj, P.2    Gazonas, G.A.3
  • 7
    • 0036147334 scopus 로고    scopus 로고
    • Modelling of functionally graded materials in dynamic analyses
    • Banks-Sills, L., Eliasi, R., and Berlin, Y., "Modelling of Functionally Graded Materials in Dynamic Analyses," Composites Part B: engineering, Vol. 33, 2002, pp. 7-15.
    • (2002) Composites Part B: Engineering , vol.33 , pp. 7-15
    • Banks-Sills, L.1    Eliasi, R.2    Berlin, Y.3
  • 8
    • 2942541807 scopus 로고    scopus 로고
    • Numerical solution of two dimensional wave propagation in functionally graded materials
    • Berezovski, A., Engelbrech, J., and Maugin, G. A., "Numerical Solution of Two Dimensional Wave Propagation in Functionally Graded Materials," European Journal Mechanics, Vol. 22, 2003, pp. 257-265.
    • (2003) European Journal Mechanics , vol.22 , pp. 257-265
    • Berezovski, A.1    Engelbrech, J.2    Maugin, G.A.3
  • 9
    • 0031056666 scopus 로고    scopus 로고
    • Transient waves in a periodic stack: Experiments and comparison with analysis
    • El-Raheb, M. and Tham, R., "Transient Waves in a Periodic Stack: Experiments and Comparison with Analysis," Journal of Acoustical Society of America, Vol. 101, 1997, pp. 860-866.
    • (1997) Journal of Acoustical Society of America , vol.101 , pp. 860-866
    • El-Raheb, M.1    Tham, R.2
  • 11
    • 0034516803 scopus 로고    scopus 로고
    • Variational integrators and the newmark algorithm for conservative and dissipative mechanical systems
    • Kane, C., Marsden, J. E., Ortiz, M., and West, M., "Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems," International Journal For Numerical Methods in Engineering, Vol. 49, 2000, pp. 1295-1325.
    • (2000) International Journal for Numerical Methods in Engineering , vol.49 , pp. 1295-1325
    • Kane, C.1    Marsden, J.E.2    Ortiz, M.3    West, M.4
  • 12
    • 0026939543 scopus 로고
    • Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
    • Simo, J. C., Tarnow, N., and Wong, K. K., "Exact Energy-Momentum Conserving Algorithms and Symplectic Schemes for Nonlinear Dynamics," Computer Methods in Applied Mechanics and Engineering, Vol. 100, 1992, pp. 63-116.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.100 , pp. 63-116
    • Simo, J.C.1    Tarnow, N.2    Wong, K.K.3
  • 14
    • 0035045872 scopus 로고    scopus 로고
    • Conservation properties of a time FE method part II: Time-stepping schemes for non-linear elastodynamics
    • Betsch, P. and Steinmann, P., "Conservation Properties of a Time FE Method Part II: Time-Stepping Schemes for Non-Linear Elastodynamics," International Journal For Numerical Methods in Engineering, Vol. 50, 2001, pp. 1931-1955.
    • (2001) International Journal for Numerical Methods in Engineering , vol.50 , pp. 1931-1955
    • Betsch, P.1    Steinmann, P.2
  • 15
    • 0002763761 scopus 로고
    • edt. C. de Boor, chap. On a Finite Element Method for Solving the Neutron Transport Equation, Academic Press: New York
    • Lesaint, P. and Raviart, P.-A., in Mathematical Aspects of Finite Elements in Partial Differential Equations, edt. C. de Boor, chap. On a Finite Element Method for Solving the Neutron Transport Equation, Academic Press: New York, 1974, pp. 89-145.
    • (1974) Mathematical Aspects of Finite Elements in Partial Differential Equations , pp. 89-145
    • Lesaint, P.1    Raviart, P.-A.2
  • 16
    • 0023960856 scopus 로고
    • Space-time finite element methods for elastodynamics: Formulations and error estimates
    • Hughes, T. J. R. and Hulbert, G. M., "Space-Time Finite Element Methods for Elastodynamics: Formulations and Error Estimates," Computer Methods in Applied Mechanics and Engineering, Vol. 66, 1988, pp. 339-363.
    • (1988) Computer Methods in Applied Mechanics and Engineering , vol.66 , pp. 339-363
    • Hughes, T.J.R.1    Hulbert, G.M.2
  • 17
    • 0037399905 scopus 로고    scopus 로고
    • Three-dimensional transient elastodynamics analysis by a space and time-disontinuous Galerkin finite element method
    • Chien, C. C., Yang, C. S., and Tang, J. H., "Three-Dimensional Transient Elastodynamics Analysis by a Space and Time-Disontinuous Galerkin Finite Element Method," Finite Elements in Analysis and Design, Vol. 39, 2003, pp. 561-580.
    • (2003) Finite Elements in Analysis and Design , vol.39 , pp. 561-580
    • Chien, C.C.1    Yang, C.S.2    Tang, J.H.3
  • 19
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous-Galerkin method for the time-dependent convection-diffusion systems
    • Cockburn, B. and Shu, C.-W., "The Local Discontinuous-Galerkin Method for the Time-Dependent Convection-Diffusion Systems," SIAM Journal on Numerical Analysis, Vol. 35, No. 6, 1998, pp. 2440-2463.
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , Issue.6 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.-W.2
  • 21
    • 0037357292 scopus 로고    scopus 로고
    • An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations
    • Zhang, M. and Shu, C.-W., "An Analysis of Three Different Formulations of the Discontinuous Galerkin Method For Diffusion Equations," Mathematical Models and Methods in Applied Sciences, Vol. 13, No. 3, 2003, pp. 395-413.
    • (2003) Mathematical Models and Methods in Applied Sciences , vol.13 , Issue.3 , pp. 395-413
    • Zhang, M.1    Shu, C.-W.2
  • 24
    • 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," Journal of Sound and Vibration, Vol. 222, 1999, pp. 453-487.
    • (1999) Journal of Sound and Vibration , vol.222 , pp. 453-487
    • Chiu, T.C.1    Erdogan, F.2
  • 25
    • 0032209437 scopus 로고    scopus 로고
    • A discontinuous hp finite element method for diffusion problems
    • Oden, J., Babuška, I., and Baumann, C., "A Discontinuous hp Finite Element Method for Diffusion Problems," Journal of Computational Physics, Vol. 146, 1998, pp. 491-519.
    • (1998) Journal of Computational Physics , vol.146 , pp. 491-519
    • Oden, J.1    Babuška, I.2    Baumann, C.3
  • 26
    • 0037085994 scopus 로고    scopus 로고
    • Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
    • Hansbo, P. and Larson, M. G., "Discontinuous Galerkin Methods for Incompressible and Nearly Incompressible Elasticity by Nitsche's Method," Computer methods in applied mechanics and engineering, Vol. 191, 2002, pp. 1895-1908.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 1895-1908
    • Hansbo, P.1    Larson, M.G.2
  • 27
    • 0037590082 scopus 로고    scopus 로고
    • Iterative solutions for implicit time discontinuous Galerkin methods applied to non-linear elastodynamics
    • Bonelli, A. and Bursi, O. S., "Iterative Solutions for Implicit Time Discontinuous Galerkin Methods Applied to Non-Linear Elastodynamics," Computational Mechanics, Vol. 30, 2003, pp. 487-198.
    • (2003) Computational Mechanics , vol.30 , pp. 487-1198
    • Bonelli, A.1    Bursi, O.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.