On nonlocal regularization in one dimensional finite strain elasticity and plasticity

被引：3
|
作者：
Driemeier, L [1 ]
Comi, C
Proença, SPB
机构：
[1] Univ Sao Paulo, Dept Mechatron & Mech Syst Engn, BR-05508900 Sao Paulo, Brazil
[2] Politecn Milan, Dept Struct Engn, I-20133 Milan, Italy
[3] Univ Sao Paulo, Dept Struct Engn, BR-13560570 Sao Carlos, SP, Brazil
来源：
COMPUTATIONAL MECHANICS | 2005年 / 36卷 / 01期
关键词：
localization; plasticity; large strains;
D O I：
10.1007/s00466-004-0640-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this article is to explore in details the theoretical and numerical aspects of the behavior of spatial trusses, undergoing large elastic and/ or elastoplastic strains. Two nonlocal formulations are proposed in order to regularize the problem, avoiding the mesh dependence of the numerical response. The classical example of a simple bar in tension is chosen to explore the various features of the proposed models and to highlight the interplay between material and geometrical nonlinearity in the localization.
引用
收藏
页码：34 / 44
页数：11
相关论文
共 50 条
  • [1] On nonlocal regularization in one dimensional finite strain elasticity and plasticity
    L. Driemeier
    C. Comi
    S. P. B. Proença
    Computational Mechanics, 2005, 36 : 34 - 44
  • [2] Mesh Dependence and Nonlocal Regularization of One-Dimensional Strain Softening Plasticity
    Wu, S.
    Wang, X.
    JOURNAL OF ENGINEERING MECHANICS-ASCE, 2010, 136 (11): : 1354 - 1365
  • [3] ONE-DIMENSIONAL MODELS IN NONLOCAL ELASTICITY
    ROGULA, D
    SZTYREN, M
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1978, 26 (07): : 631 - 635
  • [4] A nonlocal strain gradient plasticity theory for finite deformations
    Polizzotto, Castrenze
    INTERNATIONAL JOURNAL OF PLASTICITY, 2009, 25 (07) : 1280 - 1300
  • [5] FUNDAMENTAL ONE-DIMENSIONAL SOLUTIONS IN NONLOCAL ELASTICITY
    ROGULA, D
    SZTYREN, M
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1978, 26 (10): : 851 - 857
  • [6] A method to transform a nonlocal model into a gradient one within elasticity and plasticity
    Borino, Guido
    Polizzotto, Castrenze
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2014, 46 : 30 - 41
  • [7] Breakdown of smooth solutions in one dimensional nonlinear nonlocal elasticity
    Sfyris, D.
    Sfyris, G. I.
    MECHANICS RESEARCH COMMUNICATIONS, 2023, 129
  • [8] Existence Theory for Finite-Strain Crystal Plasticity with Gradient Regularization
    Mielke, Alexander
    IUTAM SYMPOSIUM ON VARIATIONAL CONCEPTS WITH APPLICATIONS TO THE MECHANICS OF MATERIALS, 2010, 21 : 171 - 183
  • [9] Spectral analysis of nonlocal regularization in two-dimensional finite element models
    Lu, Xilin
    Bardet, Jean-Pierre
    Huang, Maosong
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2012, 36 (02) : 219 - 235
  • [10] On the consistency of the nonlocal strain gradient elasticity
    Zaera, R.
    Serrano, O.
    Fernandez-Saez, J.
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2019, 138 (65-81) : 65 - 81
12345