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Volumn 181, Issue 1, 2002, Pages 338-353

A genuinely multidimensional high-resolution scheme for the elastic-plastic wave equation

Author keywords

[No Author keywords available]

Indexed keywords

ELASTOPLASTICITY; STRESS-STRAIN CURVES; WAVE EQUATIONS;

EID: 0036740984     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7129     Document Type: Article
Times cited : (9)

References (19)
  • 1
    • 26844455510 scopus 로고
    • Multidimensional upwind methods for hyperbolic conservation laws
    • P. Colella, Multidimensional upwind methods for hyperbolic conservation laws, SIAM J. Comput. Phys. 87, 171 (1990).
    • (1990) SIAM J. Comput. Phys , vol.87 , pp. 171
    • Colella, P.1
  • 2
    • 0000471334 scopus 로고    scopus 로고
    • Multidimensional upwinding: Part I. The method of transport for solving the Euler equations
    • M. Fey, Multidimensional upwinding: Part I. The method of transport for solving the Euler equations, J. Comput. Phys. 143, 159 (1998).
    • (1998) J. Comput. Phys , vol.143 , pp. 159
    • Fey, M.1
  • 3
    • 0000471333 scopus 로고    scopus 로고
    • Multidimensional upwinding: Part II. Decomposition of the Euler equations into advection equations
    • M. Fey, Multidimensional upwinding: Part II. Decomposition of the Euler equations into advection equations, J. Comput. Phys. 143, 181 (1998).
    • (1998) J. Comput. Phys , vol.143 , pp. 181
    • Fey, M.1
  • 4
    • 0010601156 scopus 로고    scopus 로고
    • Multidimensional schemes for non-linear systems of hyperbolic conservation laws
    • edited by D. Griffiths and G. A. Watson (Longman, Harlow/New York)
    • M. Fey, R. Jeltsch, and A.-T. Morel, Multidimensional schemes for non-linear systems of hyperbolic conservation laws, in Numerical Analysis, edited by D. Griffiths and G. A. Watson (Longman, Harlow/New York, 1996).
    • (1996) Numerical Analysis
    • Fey, M.1    Jeltsch, R.2    Morel, A.-T.3    Morel, A.4
  • 5
    • 85190569234 scopus 로고    scopus 로고
    • The method of transport for nonlinear systems of hyperbolic conservation laws in several space dimensions
    • Proceedings of the Conference on Numerical Analysis, Zeist
    • M. Fey, R. Jeltsch, J. Maurer, and A.-T. Morel, The method of transport for nonlinear systems of hyperbolic conservation laws in several space dimensions, in Proceedings of the Conference on Numerical Analysis, Zeist, 1996.
    • (1996)
    • Fey, M.1    Jeltsch, R.2    Maurer, J.3    Morel, A.-T.4    Morel, A.5
  • 6
    • 84955140622 scopus 로고
    • Introduction to Linear Elasticity
    • (Springer-Verlag, Berlin/New York)
    • P. L. Gould, Introduction to Linear Elasticity (Springer-Verlag, Berlin/New York, 1983).
    • (1983)
    • Gould, P.L.1
  • 7
    • 0004186233 scopus 로고    scopus 로고
    • Numerical Schemes for Conservation Laws
    • (Wiley-Teubner, New York/Leipzig)
    • D. Kröner, Numerical Schemes for Conservation Laws (Wiley-Teubner, New York/Leipzig, 1997).
    • (1997)
    • Kröner, D.1
  • 8
    • 0003671760 scopus 로고
    • Numerical Methods for Conservation Laws
    • Lectures in Mathematics (Birkhäuser, Basel)
    • R. J. LeVeque, Numerical Methods for Conservation Laws, Lectures in Mathematics (Birkhäuser, Basel, 1992).
    • (1992)
    • LeVeque, R.J.1
  • 9
    • 0010633712 scopus 로고    scopus 로고
    • Numerical Computation of Stress Waves in Solids
    • (Akademie Verlag, Berlin)
    • X. Lin, Numerical Computation of Stress Waves in Solids (Akademie Verlag, Berlin, 1996).
    • (1996)
    • Lin, X.1
  • 10
    • 0010533615 scopus 로고
    • Improved bicharacteristic schemes for two-dimensional elastodynamic equations
    • X. Lin and J. Ballmann, Improved bicharacteristic schemes for two-dimensional elastodynamic equations. Quart. Appl. Math. LIII(2), 383 (1995).
    • (1995) Quart. Appl. Math , vol.53 , Issue.2 , pp. 383
    • Lin, X.1    Ballmann, J.2
  • 11
    • 0029271320 scopus 로고
    • A numerical scheme for axisymmetric elastic waves in solids
    • X. Lin and J. Ballmann, A numerical scheme for axisymmetric elastic waves in solids, Wave Motion 21, 115 (1995).
    • (1995) Wave Motion , vol.21 , pp. 115
    • Lin, X.1    Ballmann, J.2
  • 12
    • 0010601619 scopus 로고
    • Numerical modelling of elastic-plastic waves in transversely isotropic composite materials
    • X. Lin and J. Ballmann, Numerical modelling of elastic-plastic waves in transversely isotropic composite materials, ZAMM 75, 267 (1995).
    • (1995) ZAMM , vol.75 , pp. 267
    • Lin, X.1    Ballmann, J.2
  • 13
    • 0010532152 scopus 로고
    • Elastic-plastic waves in cracked solids under plane stress
    • edited by J. L. Wegne and F. R. Norwood, ASME Book AMR 137
    • X. Lin and J. Ballmann, Elastic-plastic waves in cracked solids under plane stress, in Nonlinear Waves in Solids, edited by J. L. Wegne and F. R. Norwood, ASME Book AMR 137 (1995), p. 155.
    • (1995) Nonlinear Waves in Solids , pp. 155
    • Lin, X.1    Ballmann, J.2
  • 14
    • 0028511979 scopus 로고
    • Numerical modelling of elastic-plastic deformation at crack tips in composite material under stress wave loading
    • S. C8-53
    • X. Lin and J. Ballmann, Numerical modelling of elastic-plastic deformation at crack tips in composite material under stress wave loading, J. de Phys. III4, S. C8-53 (1994).
    • (1994) J. de Phys. III , vol.4
    • Lin, X.1    Ballmann, J.2
  • 16
    • 0003588880 scopus 로고
    • Difference Methods for Initial-Value Problems
    • (Krieger, Melbourne, FL)
    • K. W. Morton and R. D. Richtmyer, Difference Methods for Initial-Value Problems (Krieger, Melbourne, FL, 1995).
    • (1995)
    • Morton, K.W.1    Richtmyer, R.D.2
  • 17
    • 0003893179 scopus 로고
    • Stress Waves in Non-Elastic Solids
    • (Oxford-Pergamon, London/New York)
    • W. K. Nowacki, Stress Waves in Non-Elastic Solids (Oxford-Pergamon, London/New York, 1978).
    • (1978)
    • Nowacki, W.K.1
  • 18
    • 85190572612 scopus 로고
    • Proceedings of the First International Congress for Applied Mechanics (Delft)
    • L. Prandtl, Proceedings of the First International Congress for Applied Mechanics (Delft, 1924).
    • (1924)
    • Prandtl, L.1
  • 19
    • 0003654475 scopus 로고    scopus 로고
    • Systems of Conservation Laws
    • (Cambridge Univ. Press, Cambridge, UK)
    • D. Serre, Systems of Conservation Laws (Cambridge Univ. Press, Cambridge, UK, 1999).
    • (1999)
    • Serre, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.