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
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
  • [21] Elastic-plastic microcontact analysis of a sphere and a flat plate
    Liou, J. L.
    Lin, J. F.
    JOURNAL OF MECHANICS, 2007, 23 (04) : 341 - 351
  • [22] Elastic-plastic solution to stamping thin strip on elastic foundation
    李玉平
    周里群
    周益春
    Transactions of Nonferrous Metals Society of China, 2006, (02) : 339 - 345
  • [23] Elastic-plastic solution to stamping thin strip on elastic foundation
    Li, YP
    Zhou, LQ
    Zhou, YC
    TRANSACTIONS OF NONFERROUS METALS SOCIETY OF CHINA, 2006, 16 (02) : 339 - 345
  • [24] Characterization of low-velocity and low-energy responses of elastic-plastic plate struck by elastic-plastic impactor
    Xiao, Xin
    Yin, Xiaochun
    Wang, Hui
    Ding, Huaiping
    Yu, Bo
    Guo, Yuanyuan
    Xie, Wenhao
    THIN-WALLED STRUCTURES, 2024, 197
  • [25] Re-discussion on Elastic-plastic Solution of the Ultimate Bearing Capacity of a Plate on a Winkler Foundation
    Tan Z.-M.
    Cong Z.-M.
    Yao Y.
    Zhongguo Gonglu Xuebao/China Journal of Highway and Transport, 2019, 32 (11): : 129 - 136
  • [26] Elastic-plastic near field solution of an eccentric crack under shear in a finite width plate
    Guo, C.
    Zhou, X. P.
    Zhang, Y. X.
    Yang, H. Q.
    Li, X. H.
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2009, 51 (03) : 174 - 180
  • [27] ELASTIC-PLASTIC BUCKLING SOLUTION USING INCREMENTAL THEORY
    PALAZOTTO, AN
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1973, 15 (04) : 279 - 290
  • [28] APPROXIMATE SOLUTION OF PROBLEMS OF SMALL ELASTIC-PLASTIC DEFORMATIONS
    IVLEV, DD
    DOKLADY AKADEMII NAUK SSSR, 1957, 113 (03): : 527 - 528
  • [29] Theoretical elastic-plastic solution for laterally loaded piles
    Hsiung, YM
    JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING, 2003, 129 (05) : 475 - 480
  • [30] The dynamic instability of elastic-plastic plate due to impact loading
    Wu Ying
    Wu Guiying
    ENGINEERING STRUCTURAL INTEGRITY: RESEARCH, DEVELOPMENT AND APPLICATION, VOLS 1 AND 2, 2007, : 1528 - 1531