Limit States of Materials and Structures: Direct Methods (Google eBook)

Front Cover
Dieter Weichert, Alan Ponter
Springer Science & Business Media, Feb 22, 2009 - Technology & Engineering - 305 pages
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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.
  

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Contents

The Linear Matching Method for Limit Loads Shakedown Limits and Ratchet Limits
1
A Decomposition Approach
23
Gurson Model for Porous Pressure Sensitive Materials
44
A Direct Method for the Determination of Effective Strength Domains for Periodic ElasticPlastic Media
67
Stochastic Limit Load Analysis of ElastoPlastic Plane Frames
87
Limit Load Analysis of Plane Frames Under Stochastic Uncertainty
112
Reliability Analysis of Inelastic Shell Structures Under Variable Loads
135
Static Shakedown Theorem for Solids with TemperatureDependent Elastic Modulus
157
On Shakedown of Structures Under Variable Loads with a Kinematic Nonlinear and Nonassociated Hardening Rule
179
Limit Analysis of Orthotropic Laminates by Linear Matching Method
197
Mechanical Surface Treatments and Life Improvement
221
Force Method Based Procedures in the Limit Equilibrium Analysis of Framed Structures
233
Shakedown Analysis of Composite Materials Based on Nonlinear Mathematical Programming
253
A Nonlinear Programming Approach to Shakedown Analysis for a General Yield Condition
271
to LargeScale Problems with Selective Algorithm
288
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