Proposal of an optimality theory and its application to some mechanical problems 一つの最適性理論の提案とその力学問題への応用
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著者
書誌事項
- タイトル
-
Proposal of an optimality theory and its application to some mechanical problems
- タイトル別名
-
一つの最適性理論の提案とその力学問題への応用
- 著者名
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新関, 茂
- 著者別名
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ニイセキ, シゲル
- 学位授与大学
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東北大学
- 取得学位
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工学博士
- 学位授与番号
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乙第5439号
- 学位授与年月日
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1991-02-13
注記・抄録
博士論文
目次
- CONTENTS / p3 (0005.jp2)
- ABSTRACT / p1 (0003.jp2)
- ACKNOWLEDGEMENT / p2 (0004.jp2)
- CONTENTS / p3 (0005.jp2)
- LIST OF FIGURES / p6 (0008.jp2)
- LIST OF TABLES / p9 (0011.jp2)
- LIST OF SYMBOLS / p10 (0012.jp2)
- §1 GENERAL INTRODUCTION / p1 (0018.jp2)
- 1.1 Background of Researches / p1 (0018.jp2)
- 1.2 Topics of Researches / p8 (0025.jp2)
- §2 SHORT REVIEW OF PAST RESEARCHES / p11 (0028.jp2)
- 2.1 Nonequilibrium Thermodynamics / p11 (0028.jp2)
- 2.2 Variational Theory / p22 (0039.jp2)
- 2.3 Granular Materials / p34 (0051.jp2)
- 2.4 Fracture Mechanics / p50 (0067.jp2)
- §3 PROPOSAL OF OPTIMALITY THEORY IN NONLINEAR NONEQUILIBRIUM PROCESSES / p67 (0084.jp2)
- 3.1 Introduction / p67 (0084.jp2)
- 3.2 Basic Concept for Formulation / p68 (0085.jp2)
- 3.3 Proposal of Optimality Theory / p70 (0087.jp2)
- 3.4 Inverse Relation of Proposed Theory / p78 (0095.jp2)
- 3.5 Comparison with Conventional Theoretical Results and Observations in Nature / p80 (0097.jp2)
- 3.6 Comparison with Glansdorff and Prigogine's Stability Criterion / p82 (0099.jp2)
- 3.7 Major Characteristics of Proposed Theory / p84 (0101.jp2)
- 3.8 Conclusions / p85 (0102.jp2)
- §4 APPLICATION TO MECHANICS OF GRANULAR MATERIALS / p87 (0104.jp2)
- 4.1 Introduction / p87 (0104.jp2)
- 4.2 Equilibrium and Compatibility Conditions from Microscopic Order / p91 (0108.jp2)
- 4.3 Coaxiality Between Stress and Strain Rate Tensors / p102 (0119.jp2)
- 4.4 Stress Dilatancy Equations / p107 (0124.jp2)
- 4.5 Strain Hardening Rule / p127 (0144.jp2)
- 4.6 Consideration / p133 (0150.jp2)
- 4.7 Conclusions / p142 (0159.jp2)
- §5 APPLICATION TO FRACTURE MECHANICS / p146 (0163.jp2)
- 5.1 Introduction / p146 (0163.jp2)
- 5.2 Proposal of General Fracture and Stability Criterion / p147 (0164.jp2)
- 5.3 Analysis of Mixed Mode Crack Growth and Modelof Fracture Process Zone in Mortar / p156 (0173.jp2)
- 5.4 Morphological Analyses of several Crack Patterns / p181 (0198.jp2)
- 5.5 Conclusions / p191 (0208.jp2)
- §6 GENERAL CONCLUSIONS / p193 (0210.jp2)
- REFERENCES / p197 (0214.jp2)