Large deformation analysis for nonlinear elastic problems by hypoelastic theory

被引：0
|
作者：
Liang, Fei [1 ]
Zhang, Shan-Yuan [1 ]
Yang, Gui-Tong [1 ]
机构：
[1] Taiyuan Univ of Technology, Taiyuan, China
来源：
Acta Mechanica Solida Sinica | 1993年 / 6卷 / 02期
关键词：
Elasticity - Numerical analysis - Numerical methods - Stress analysis - Tensors - Variational techniques;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, large deformation problems for nonlinear elasticity are studied on the basis of hypoelastic theory. The expression of Cauchy elasticity is derived in the form of hypoelasticity. This makes it possible to solve large deformation for nonlinear elastic problems by the hypoelastic method. The variational principle of hypoelasticity and the Ritz method are used to obtain the numerical solution of a rectangular rubber membrane under uniaxial stretch.
引用
收藏
页码：217 / 228
相关论文
共 50 条
  • [31] Characterization of nonlinear elastic properties of beef products under large deformation
    Lu, RF
    Chen, YR
    TRANSACTIONS OF THE ASAE, 1998, 41 (01): : 163 - 171
  • [32] Characterization of nonlinear elastic properties of beef products under large deformation
    ISL Bldg. 303, BARC-E, USDA-ARS, 10300 Baltimore Ave, Beltsville, MD 20705, United States
    Trans. Am. Soc. Agric. Eng., 1 (163-171):
  • [33] Approximation of incompressible large deformation elastic problems: some unresolved issues
    Ferdinando Auricchio
    Lourenço Beirão da Veiga
    Carlo Lovadina
    Alessandro Reali
    Robert L. Taylor
    Peter Wriggers
    Computational Mechanics, 2013, 52 : 1153 - 1167
  • [34] Approximation of incompressible large deformation elastic problems: some unresolved issues
    Auricchio, Ferdinando
    da Veiga, Lourenco Beirao
    Lovadina, Carlo
    Reali, Alessandro
    Taylor, Robert L.
    Wriggers, Peter
    COMPUTATIONAL MECHANICS, 2013, 52 (05) : 1153 - 1167
  • [35] ON THE FOUNDATIONS OF THE NONLINEAR-THEORY OF THE CYLINDRICAL DEFORMATION OF THIN ELASTIC PLATES
    JOHNSON, MW
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1985, 21 (01) : 11 - 20
  • [36] Topological sensitivity analysis in large deformation problems
    Pereira, C. E. L.
    Bittencourt, M. L.
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2008, 37 (02) : 149 - 163
  • [37] Topological sensitivity analysis in large deformation problems
    C. E. L. Pereira
    M. L. Bittencourt
    Structural and Multidisciplinary Optimization, 2008, 37
  • [38] Large deformation analysis for piles on elastic or plastic foundation
    Yingyong Lixue Xuebao, 2008, 3 (398-404):
  • [39] LARGE DEFORMATION ANALYSIS OF ELASTIC-PLASTIC FRAMES
    KASSIMALI, A
    JOURNAL OF STRUCTURAL ENGINEERING-ASCE, 1983, 109 (08): : 1869 - 1886
  • [40] Large deformation analysis of elastic cosserat continua by FEM
    Sharbati, Ehsan
    Naghdabadi, Reza
    PROCEEDINGS OF THE 8TH BIENNIAL CONFERENCE ON ENGINEERING SYSTEMS DESIGN AND ANALYSIS, VOL 3, 2006, : 627 - 636
12345