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Limit States of Materials and Structures

E-BookPDF1 - PDF WatermarkE-Book
305 Seiten
Englisch
Springer Netherlandserschienen am22.02.20092009
To predict loading limits for structures and structural elements is one of the oldest and most important tasks of engineers. Among the theoretical and numericalmethodsavailableforthispurpose,so-called'DirectMethods',- bracing Limit- and Shakedown Analysis, play an eminent role due to the fact that they allow rapid access to the requested information in mathematically constructive manners. The collection of papers in this book is the outcome of a workshop held at Aachen University of Technology in November 2007. The individual c- tributions stem in particular from the areas of new numerical developments renderingthemethodsmoreattractive forindustrialdesign,extensionsofthe general methodology to new horizons of application, probabilistic approaches and concrete technological applications. The papers are arranged according to the order of the presentations in the workshop and give an excellent insight into state-of-the-art developments in this broad and growing ?eld of research. The editors warmly thank all the scientists, who have contributed by their outstanding papers to the quality of this edition. Special thanks go to Jaan Simon for his great help in putting together the manuscript to its ?nal shape.mehr
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Produkt

KlappentextTo predict loading limits for structures and structural elements is one of the oldest and most important tasks of engineers. Among the theoretical and numericalmethodsavailableforthispurpose,so-called'DirectMethods',- bracing Limit- and Shakedown Analysis, play an eminent role due to the fact that they allow rapid access to the requested information in mathematically constructive manners. The collection of papers in this book is the outcome of a workshop held at Aachen University of Technology in November 2007. The individual c- tributions stem in particular from the areas of new numerical developments renderingthemethodsmoreattractive forindustrialdesign,extensionsofthe general methodology to new horizons of application, probabilistic approaches and concrete technological applications. The papers are arranged according to the order of the presentations in the workshop and give an excellent insight into state-of-the-art developments in this broad and growing ?eld of research. The editors warmly thank all the scientists, who have contributed by their outstanding papers to the quality of this edition. Special thanks go to Jaan Simon for his great help in putting together the manuscript to its ?nal shape.
Details
Weitere ISBN/GTIN9781402096341
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2009
Erscheinungsdatum22.02.2009
Auflage2009
Seiten305 Seiten
SpracheEnglisch
IllustrationenXII, 305 p.
Artikel-Nr.1441499
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
1;Preface;5
2;Contents;6
3;Contributors;8
4;The Linear Matching Method for Limit Loads, Shakedown Limits and Ratchet Limits;12
4.1;1 Introduction;12
4.2;2 Definition of the Problem;13
4.3;3 Shakedown Theorems;15
4.4;4 The Linear Matching Method;17
4.5;5 The Ratchet Limit;23
4.6;6 Further Applications;29
4.7;7 Conclusions;30
4.8;References;30
5;Large Problems in Numerical Limit Analysis: A Decomposition Approach;33
5.1;1 Introduction;34
5.2;2 Interior Point Method and Convex Optimization;35
5.3;3 Succinct Presentation of Limit Analysis;36
5.4;4 Kinematic Method of LA: A Mixed Finite Element Formulation;37
5.5;5 The Proposed Decomposition Method;40
5.6;6 Kinematical Tests;45
5.7;7 Extension to the Statical Approach: First Results;50
5.8;8 Conclusion;51
5.9;References;52
6;Gurson Model for Porous Pressure Sensitive Materials;54
6.1;Nomenclature;54
6.2;1 Introduction;55
6.3;2 Succinct Presentation of Limit Analysis;55
6.4;3 Homogenization Technique-The Gurson s Model;57
6.5;4 Finite Element and Optimization Implementation;58
6.6;5 The Statical Approach for a Porous Coulomb Material;59
6.7;pa;61
6.8;6 The Kinematical Approach for a Porous Coulomb Material;62
6.9;pa;63
6.10;7 Applications;66
6.11;Ad Hoc;68
6.12;8 Conclusion;73
6.13;References;74
7;A Direct Method for the Determination of Effective Strength Domains for Periodic Elastic- Plastic Media;75
7.1;1 Introduction;76
7.2;2 The Static Approach of Shakedown;77
7.3;3 Periodic Heterogeneous Media;80
7.4;4 Periodic Heterogeneous Plates;82
7.5;5 Conclusion;92
7.6;References;92
8;Stochastic Limit Load Analysis of Elasto- Plastic Plane Frames;95
8.1;1 Introduction;96
8.2;2 State and Cost Functions;98
8.3;3 Minimum Expected Quadratic Costs;104
8.4;4 Deterministic Substitute Problems;107
8.5;5 Limit Load Analysis;109
8.6;6 Complete Limit Load Analysis;111
8.7;7 Numerical Example;115
8.8;References;118
9;Limit Load Analysis of Plane Frames Under Stochastic Uncertainty;120
9.1;1 Formulation of the Problem;120
9.2;2 Substitute Problems;131
9.3;3 Numerical Results;132
9.4;4 Conclusion;140
9.5;References;141
10;Reliability Analysis of Inelastic Shell Structures Under Variable Loads;142
10.1;1 Introduction;143
10.2;2 Plastic Dissipation Function in Terms of Strain Resultants;144
10.3;3 Deterministic Limit and Shakedown Algorithm;146
10.4;4 Probabilistic Limit and Shakedown Algorithm;147
10.5;5 Numerical Examples;154
10.6;6 Conclusions;162
10.7;References;162
11;Static Shakedown Theorem for Solids with Temperature- Dependent Elastic Modulus;164
11.1;1 Introduction;164
11.2;2 Basic Relations;165
11.3;3 New Static Shakedown Theorem;167
11.4;4 Static Shakedown Factor;170
11.5;5 Numerical Examples;170
11.6;A2;179
11.7;6 Conclusion;179
11.8;References;183
12;On Shakedown of Structures Under Variable Loads with a Kinematic Non- linear and Non- associated Hardening Rule;185
12.1;1 Introduction;185
12.2;2 Implicit Standard Materials and Shakedown;186
12.3;3 Computation of Shakedown Load for a Homogeneous Constant Tension and Alternating Torsion State;189
12.4;.l;193
12.5;References;201
13;Limit Analysis of Orthotropic Laminates by Linear Matching Method;203
13.1;1 Introduction;203
13.2;2 Limit Analysis for Nonstandard Orthotropic Materials;205
13.3;3 Linear Matching for Orthotropic Materials;207
13.4;4 Validation: Numerical and Experimental Results;216
13.5;5 Concluding Remarks and Future Developments;221
13.6;References;224
14;Mechanical Surface Treatments and Life Improvement;227
14.1;1 Introduction;227
14.2;2 MASSI Method;228
14.3;3 Prediction of Shot Peening Stresses;231
14.4;4 MI2 Identification Process;234
14.5;5 Conclusion;237
14.6;References;238
15;Force Method - Based Procedures in the Limit Equilibrium Analysis of Framed Structures;239
15.1;1 Introduction;239
15.2;2 Construction of a Cycle Basis;240
15.3;3 Limit Analysis of Plane Frames;243
15.4;4 Shakedown Analysis of Plane Frames;248
15.5;5 Limit Analysis of Space Frames;253
15.6;6 Concluding Remarks;258
15.7;References;258
16;Shakedown Analysis of Composite Materials Based on Non- linear Mathematical Programming;259
16.1;1 Introduction;259
16.2;2 Kinematic Shakedown Analysis of a Macrostructure;261
16.3;3 Kinematic Shakedown Analysis of a Microstructure;265
16.4;4 Iterative Solution Algorithm;269
16.5;5 Applications;272
16.6;6 Conclusions;274
16.7;References;274
17;A Non-linear Programming Approach to Shakedown Analysis for a General Yield Condition;277
17.1;1 Introduction;277
17.2;2 Shakedown Analysis Based on a General Yield Criterion;279
17.3;3 Finite Element Modelling;283
17.4;4 Iterative Solution Algorithm;284
17.5;5 Applications;288
17.6;6 Conclusions;291
17.7;References;292
18;Application of Shakedown Analysis to Large- Scale Problems with Selective Algorithm;294
18.1;1 Introduction;294
18.2;2 Lower-Bound Shakedown Theorem;295
18.3;3 Selective Algorithm;296
18.4;4 Industrially Relevant Examples;297
18.5;5 Conclusions;309
18.6;References;309mehr