메뉴 건너뛰기




Volumn 37, Issue 4, 2000, Pages 1271-1294

Numerical anlysis of time-depending primal elastoplasticity with hardening

Author keywords

A priori error estimates; Elastoplasticity; Plasticity with hardening; Time discretization; Variational inequalities

Indexed keywords


EID: 0000200315     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142998341301     Document Type: Article
Times cited : (30)

References (22)
  • 1
    • 0041800331 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Kiel, FRG, in progress
    • J. ALBERTY, Ph.D. thesis, University of Kiel, FRG, 2000, in progress.
    • (2000)
    • Alberty, J.1
  • 2
    • 0033114818 scopus 로고    scopus 로고
    • Adaptive numerical analysis in primal elastoplasticity with hardening
    • J. ALBERTY, C. CARSTENSEN, AND D. ZARRABI, Adaptive numerical analysis in primal elastoplasticity with hardening, Comput. Methods Appl. Mech. Engrg., 171 (1999), pp. 175-204.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.171 , pp. 175-204
    • Alberty, J.1    Carstensen, C.2    Zarrabi, D.3
  • 3
    • 0003210742 scopus 로고
    • The Mathematical Theory of Finite Element Methods
    • Springer-Verlag, New York
    • S.C. BRENNER AND L.R. SCOTT, The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics 15, Springer-Verlag, New York, 1994.
    • (1994) Texts in Applied Mathematics , vol.15
    • Brenner, S.C.1    Scott, L.R.2
  • 4
    • 0031501142 scopus 로고    scopus 로고
    • Domain decomposition for a non-smooth convex minimisation problem and its application to plasticity
    • C. CARSTENSEN, Domain decomposition for a non-smooth convex minimisation problem and its application to plasticity, Numer. Linear Algebra Appl., 4 (1997), pp. 177-190.
    • (1997) Numer. Linear Algebra Appl. , vol.4 , pp. 177-190
    • Carstensen, C.1
  • 5
    • 84988146024 scopus 로고
    • Interface problems in holonomic elastoplasticity
    • C. CARSTENSEN, Interface problems in holonomic elastoplasticity, Math. Methods Appl. Sci., 16 (1993), pp. 819-835.
    • (1993) Math. Methods Appl. Sci. , vol.16 , pp. 819-835
    • Carstensen, C.1
  • 6
    • 0000166082 scopus 로고    scopus 로고
    • Coupling of FEM and BEM for interface problems in viscoplasticity and plasticity with hardening
    • C. CARSTENSEN, Coupling of FEM and BEM for interface problems in viscoplasticity and plasticity with hardening, SIAM J. Numer. Anal., 33 (1996), pp. 171-207.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 171-207
    • Carstensen, C.1
  • 7
    • 0033467143 scopus 로고    scopus 로고
    • Numerical analysis of primal elastoplasticity with hardening
    • C. CARSTENSEN, Numerical analysis of primal elastoplasticity with hardening, Numer. Math., 82 (1999), pp. 577-579.
    • (1999) Numer. Math. , vol.82 , pp. 577-579
    • Carstensen, C.1
  • 10
    • 0001567874 scopus 로고
    • Computational plasticity: The variational basis and numerical analysis
    • W. HAN, B.D. REDDY, Computational plasticity: The variational basis and numerical analysis, Comput. Mech. Adv., 2 (1995), pp. 285-400.
    • (1995) Comput. Mech. Adv. , vol.2 , pp. 285-400
    • Han, W.1    Reddy, B.D.2
  • 11
    • 0031480976 scopus 로고    scopus 로고
    • Numerical approximations of problems in plasticity: Error analysis and solution algorithms
    • W. HAN, S. JENSEN, AND B.D. REDDY, Numerical approximations of problems in plasticity: Error analysis and solution algorithms, Numer. Linear Algebra Appl., 4 (1997), pp. 191-204.
    • (1997) Numer. Linear Algebra Appl. , vol.4 , pp. 191-204
    • Han, W.1    Jensen, S.2    Reddy, B.D.3
  • 13
    • 0000879152 scopus 로고
    • Existence theorems for plasticity problems
    • C. JOHNSON, Existence theorems for plasticity problems, J. Math. Pures Appl., 55 (1976), pp. 431-444.
    • (1976) J. Math. Pures Appl. , vol.55 , pp. 431-444
    • Johnson, C.1
  • 14
    • 0017539056 scopus 로고
    • A mixed finite element method for plasticity problems with hardening
    • C. JOHNSON, A mixed finite element method for plasticity problems with hardening, SIAM J. Numer. Anal., 14 (1977), pp. 575-583.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 575-583
    • Johnson, C.1
  • 15
    • 0017931943 scopus 로고
    • On plasticity with hardening
    • C. JOHNSON, On plasticity with hardening, J. Math. Anal. Appl., 62 (1978), pp. 325-336.
    • (1978) J. Math. Anal. Appl. , vol.62 , pp. 325-336
    • Johnson, C.1
  • 16
    • 0027004931 scopus 로고
    • Adaptive finite element methods in computational mechanics
    • C. JOHNSON AND P. HANSBO, Adaptive finite element methods in computational mechanics, Comput. Methods Appl. Mech. Engrg., 101 (1992), pp. 143-181.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.101 , pp. 143-181
    • Johnson, C.1    Hansbo, P.2
  • 18
    • 0000854313 scopus 로고
    • Differentiability of extremals of variational problems in the mechanics of perfect viscoplastic media
    • G.A. SEREGIN, Differentiability of extremals of variational problems in the mechanics of perfect viscoplastic media, Differential Equations, 23 (1987), pp. 1349-1358.
    • (1987) Differential Equations , vol.23 , pp. 1349-1358
    • Seregin, G.A.1
  • 19
    • 0001331306 scopus 로고
    • On the regularity of the minimizers of some variational problems of plasticity theory
    • G.A. SEREGIN, On the regularity of the minimizers of some variational problems of plasticity theory, St. Petersburg Math. J., 4 (1993), pp. 989-1020.
    • (1993) St. Petersburg Math. J. , vol.4 , pp. 989-1020
    • Seregin, G.A.1
  • 20
    • 0000574945 scopus 로고
    • Discontinuities and plasticity
    • CISM Courses and Lectures J.-J. Moreau and P.D. Panagiotopoulos, eds., Springer-Verlag, Vienna
    • P. M. SUQUET, Discontinuities and plasticity, in Nonsmooth mechanics and applications, CISM Courses and Lectures 302, J.-J. Moreau and P.D. Panagiotopoulos, eds., Springer-Verlag, Vienna, 1988, pp. 279-341.
    • (1988) Nonsmooth Mechanics and Applications , vol.302 , pp. 279-341
    • Suquet, P.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.