A stabilized P1/P1 finite element for the mechanical analysis of solid metals

被引:0
|
作者
E. Feulvarch
H. Amin El Sayed
J.-C. Roux
J.-M. Bergheau
机构
[1] University Lyon,
[2] ENISE,undefined
[3] LTDS,undefined
[4] UMR 5513 CNRS,undefined
关键词
Finite element; Solid mechanics; Mixed formulation; Pressure stabilization;
D O I
暂无
中图分类号
学科分类号
摘要
The aim of this paper is to propose a stabilized finite element P1/ P1 and to show that it is well suited for the finite-strain analysis of solid metals in the context of large von Mises elasto-viscoplastic or elasto-plastic transformations. The first part of this paper is dedicated to the finite element formulation which is detailed for an elasto-viscoplastic model problem. Then, a new stabilized formulation is proposed for the pressure solution. In the last part, examples are presented to show the relevance of the finite element P1/ P1 developed.
引用
收藏
页码:3 / 14
页数:11
相关论文
共 50 条
  • [11] Some DG schemes for the Stokes–Darcy problem using P1/P1 element
    Guanyu Zhou
    Takahito Kashiwabara
    Issei Oikawa
    Eric Chung
    Ming-Cheng Shiue
    Japan Journal of Industrial and Applied Mathematics, 2019, 36 : 1101 - 1128
  • [12] Orbifold del Pezzo Surfaces in P1 x P1 x P1 Format
    Qureshi, Muhammad Imran
    EXPERIMENTAL MATHEMATICS, 2024,
  • [13] Modelling of Bingham and Herschel-Bulkley flows with mixed P1/P1 finite elements stabilized with orthogonal subgrid scale
    Moreno, Elvira
    Larese, Antonia
    Cervera, Miguel
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2016, 228 : 1 - 16
  • [14] Good reduction of certain covers P1 → P1
    Umberto Zannier
    Israel Journal of Mathematics, 2001, 124 : 93 - 114
  • [15] Virtual resolutions of points in P1 x P1
    Harada, Megumi
    Nowroozi, Maryam
    Van Tuyl, Adam
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (12)
  • [16] On syzygies of Segre embeddings of P1 x P1
    Lemmens, Alexander
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (03) : 1235 - 1254
  • [17] Osculating varieties and their joins: P1 x P1
    Ballico, Edoardo
    CUBO-A MATHEMATICAL JOURNAL, 2023, 25 (02): : 331 - 347
  • [18] Virtual complete intersections in P1 x P1
    Gao, Jiyang
    Li, Yutong
    Loper, Michael C.
    Mattoo, Amal
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (01)
  • [19] Invariant curves for endomorphisms of P1 x p1
    Pakovich, Fedor
    MATHEMATISCHE ANNALEN, 2023, 385 (1-2) : 259 - 307
  • [20] Good reduction of certain covers P1→P1
    Zannier, U
    ISRAEL JOURNAL OF MATHEMATICS, 2001, 124 (1) : 93 - 114