The Elastic And Elastoplastic Boundary Value Problem: The Difference Of Their Solutions And An Approach To Multiaxial Stress-Strain Correction

Lang, Holger; Lang, Holger

ISBN 10: 3836483874 / ISBN 13: 9783836483872

Published by Vdm Verlag Dr. Müller, 2008

About this Item

232 pages. 8.66x5.91x0.53 inches. In Stock.

Seller Inventory # 3836483874

Bibliographic Details

• Title: The Elastic And Elastoplastic Boundary Value Problem: The Difference Of Their Solutions And An Approach To Multiaxial Stress-Strain Correction
• Publisher: Vdm Verlag Dr. Müller
• Publication Date: 2008
• Language: English
• ISBN 10: 3836483874
• ISBN 13: 9783836483872
• Binding: Paperback
• Condition: Brand New
• Weight: 0.32 kilograms

About this title

Synopsis

It was an open mathematical question, whether the difference of the solutions of the elastic and elastoplastic boundary value problems can be expressed explicitly. For linear kinematic and combined linear kinematic plus isotropic hardening material, this question is now answered in this book. The author considers both models in their quasistatic, rate-independent formulation with linearised geometry. He proves that the differences of the stresses, strains and displacements can be expressed as compositions of some linear operators and play operators with respect to the exterior forces. To that end the main analytical devices, such as Lipschitz estimates for stop and play, are developed. The results are valid for the class of continuous functions of bounded variation. Further, the author is establishing a fast elastic postprocessing algorithm in order to get accurate approximations to the real physical observables. Therefore, both mathematicians, who are interested in nonlinear partial differential equations, and engineers, who are concerned with fatigue analysis, will benefit from this book.

About the Author

Dr. Holger Lang: Studies in Pure Mathematics and Physics at the University of Saarland, PhD in Applied Mathematics at the TU Kaiserslautern. Now scientific assistant at the Fraunhofer ITWM, Kaiserslautern, department 'Mathematical Methods in Dynamics and Durability'.