Analysis and Computation of Microstructure in Finite Plasticity

This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.

List of contents

From the Contents: Numerical algorithms for the simulation of finite plasticity with microstructures.- Analytical and numerical aspects of relaxation and regularization in models of crystal plasticity.- Modeling and computation of time-continuous evolution of - Hybrid micro-macro modeling of evolving microstructures in finite plasticity.

Summary

This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.

Product details

• Assisted by: Sergi Conti (Editor), Sergio Conti (Editor), Hackl (Editor), Hackl (Editor), Klaus Hackl (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2016
• EAN: 9783319384436
• ISBN: 978-3-31-938443-6
• No. of pages: 257
• Dimensions: 159 mm x 16 mm x 237 mm
• Weight: 422 g
• Illustrations: XII, 257 p. 78 illus.
• Series: Lecture Notes in Applied and Computational Mechanics; Lecture Notes in Applied and Computational Mechanics
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; B, engineering, Solid Mechanics, Computational Mathematics and Numerical Analysis, Testing of materials, Characterization and Analytical Technique, Characterization and Evaluation of Materials, Numerical analysis, Materials—Analysis, Mathematics—Data processing, Solids