A posteriori error estimation and adaptive mesh generation of finite element analysis for two-dimensional elasto-plastic problems 二次元弾塑性問題の有限要素解析における事後誤差評価と順応型要素再分割に関する研究
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Bibliographic Information
- Title
-
A posteriori error estimation and adaptive mesh generation of finite element analysis for two-dimensional elasto-plastic problems
- Other Title
-
二次元弾塑性問題の有限要素解析における事後誤差評価と順応型要素再分割に関する研究
- Author
-
施, 建剛
- Author(Another name)
-
シ, ゼンガン
- University
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広島大学
- Types of degree
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博士 (工学)
- Grant ID
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乙第2881号
- Degree year
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1996-09-12
Note and Description
博士論文
Table of Contents
- ABSTRACT / p3 (0004.jp2)
- Contents / p20 (0021.jp2)
- 1 Introduction / p1 (0024.jp2)
- 1.1 Review of literature / p5 (0028.jp2)
- 1.2 Research objectives and outline of this dissertation / p12 (0035.jp2)
- 2 Theories and algorithms in elasto-plasticity / p17 (0040.jp2)
- 2.1 Basic numerical solution processes for nonlinear problems / p18 (0041.jp2)
- 2.2 The mathematical theory of plasticity / p21 (0044.jp2)
- 2.3 Basic formulations for numerical calculation / p31 (0054.jp2)
- 2.4 Performing for finite element analysis / p36 (0059.jp2)
- 3 Element-wise a posteriori error estimation / p39 (0062.jp2)
- 3.1 The discretization error in the finite element solution / p41 (0064.jp2)
- 3.2 Self-equilibrium equations for the error estimation / p44 (0067.jp2)
- 3.3 Element-wise a posteriori error estimation in elastic problem / p47 (0070.jp2)
- 3.4 Element-wise a posteriori error estimation in two-dimensional elasto-plastic problems / p53 (0076.jp2)
- 3.5 Numerical example / p55 (0078.jp2)
- 3.6 Concluding Remarks and Discussion / p65 (0088.jp2)
- 4 Error estimation and improvement of stress in elasto-plasticity / p70 (0093.jp2)
- 4.1 Formulations for element-wise error estimation in elasto-plastic problem / p71 (0094.jp2)
- 4.2 A technique to get the error forces on an element / p73 (0096.jp2)
- 4.3 Rigid body motion in the element-wise error estimation / p82 (0105.jp2)
- 4.4 Complementary of a posteriori error analysis in elasto-plastic problem / p84 (0107.jp2)
- 4.5 Numerical examples / p90 (0113.jp2)
- 4.6 Concluding remarks and discussion / p102 (0125.jp2)
- 5 Error estimation and adaptive mesh techniques / p104 (0127.jp2)
- 5.1 Error estimation and its convergent rate / p105 (0128.jp2)
- 5.2 Strategy of adaptive mesh procedures / p114 (0137.jp2)
- 5.3 Numerical Examples / p122 (0145.jp2)
- 5.4 Concluding remarks and discussions / p141 (0164.jp2)
- 6 Error estimation and adaptive mesh generation for an integrated system / p143 (0166.jp2)
- 6.1 An integrated finite element analysis system / p145 (0168.jp2)
- 6.2 Numerical Examples / p153 (0176.jp2)
- 6.3 Concluding remarks and discussions / p167 (0190.jp2)
- 7 Summary and conclusions / p168 (0191.jp2)
- 7.1 Summary / p168 (0191.jp2)
- 7.2 Observations and conclusions / p172 (0195.jp2)
- Bibliography / p176 (0199.jp2)