STRONG SOLUTION FOR AN ELASTIC-PLASTIC PLATE

被引：21
|
作者：
CARRIERO, M
LEACI, A
TOMARELLI, F
机构：
[1] DIPARTIMENTO MATEMAT,I-73100 LECCE,ITALY
[2] POLITECN MILAN,DIPARTIMENTO MATEMAT,I-20133 MILAN,ITALY
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1994年 / 2卷 / 02期
关键词：
D O I：
10.1007/BF01191343
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a regular bounded open set OMEGA subset-of R2, lambda, mu > 0 and g is-an-element-of L(q)(OMEGA) with q > 2, we prove, under compatibility and safe load conditions on g, the existence of a minimizing pair for the functional F(K, u) = integral(OMEGA\K) \D2u\2 dy + lambda.H-1(K and OMEGA) + mu integral(K and OMEGA) \[Du]\d.H-1 - integral(OMEGA) gu dy, over closed sets K subset-of R2 and functions u is-an-element-of C0(OMEGABAR) and C2(OMEGA\K); here \[Du]\ denotes the jump of Du across K and H-1 is the 1-dimensional Hausdorff measure.
引用
收藏
页码：219 / 240
页数：22
相关论文
共 50 条
  • [1] ELASTIC-PLASTIC BUCKLING OF A THIN PLATE
    DO, C
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE B, 1980, 290 (07): : 143 - 146
  • [2] An asymptotic elastic-plastic plate model for moderate displacements and strong strain hardening
    Millet, O
    Cimetiere, A
    Hamdouni, A
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2003, 22 (03) : 369 - 384
  • [3] An asymptotic elastic-plastic plate model for moderate displacements and strong strain hardening
    Millet, O. (olivier.millet@univ-lille1.fr), 1600, Elsevier Ltd (22):
  • [4] From SBD to SBH: the elastic-plastic plate
    Percivale, D
    Tomarelli, F
    INTERFACES AND FREE BOUNDARIES, 2002, 4 (02) : 137 - 165
  • [5] ELASTIC-PLASTIC BENDING PROBLEM OF A CRACKED PLATE
    MIKHOVSKI, IM
    VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1975, (02): : 89 - 95
  • [6] ELASTIC-PLASTIC PLATE WITH ARBITRARY POISSONS RATIO
    HODGE, PG
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1978, 45 (01): : 205 - 206
  • [7] Bending of the rigidly fixed elastic-plastic plate
    Assetova, L. S.
    Nurlanova, B. M.
    Samoilova, I. A.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2019, 95 (03): : 79 - 87
  • [8] The Elastic-Plastic Analysis of Functionally Graded Plate
    Zhang Li
    Yang Yongqi
    Tao Xianbin
    APPLIED MECHANICS AND MATERIALS I, PTS 1-3, 2013, 275-277 : 1040 - 1044
  • [9] ELASTIC-PLASTIC BENDING PROBLEM OF A CRACKED PLATE
    MIKHOVSKI, IM
    VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1975, (07): : 89 - 95
  • [10] STABILITY OF PLASTIC-FLOW FOR ELASTIC-PLASTIC ROUND PLATE
    GAKHRAMANOV, KI
    NASIBOV, VI
    IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1978, (03): : 63 - 67
12345