Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress Rates

The book provides readers with a deep understanding of the use of objective algorithms for integration of constitutive relations (CRs) for Hooke-like hypoelasticity based on the use of corotational stress rates. It compares the performance of existing algorithms and presents new formulations, making it useful for beginner researchers and experienced researchers in the development of economical methods for integrating elastic-inelastic CRs.

Format: Paperback / softback
Length: 107 pages
Publication date: 20 April 2023
Publisher: Springer International Publishing AG

This comprehensive book delves into the intricate realm of utilizing objective algorithms for the integration of constitutive relations (CRs) in the context of Hooke-like hypoelasticity. The primary objective of these algorithms is to efficiently perform the step-by-step integration of CRs, employing relatively large time steps to achieve remarkable accuracy in conjunction with the precise reproduction of superimposed rigid body motions. Given that Hooke-like hypoelasticity is a fundamental component in CRs for elastic-inelastic materials, such as those used in modeling elastic-plastic materials, the scope of these algorithms extends far beyond hypoelastic materials to encompass a wide range of other materials subjected to significant deformations.

To provide a thorough evaluation of the performance of the most widely employed objective algorithms, the authors conducted a comparative analysis. Additionally, they offered valuable recommendations for enhancing the existing formulations of these algorithms. Furthermore, they introduced novel formulations of the so-called absolutely objective algorithms. This proposed book holds immense value for both novice researchers embarking on the development of cost-effective methods for integrating elastic-inelastic CRs and seasoned researchers seeking to expand their knowledge in this field. Moreover, it serves as a valuable resource for developers of computer codes tailored for implementing objective algorithms within finite element (FE) systems. Furthermore, this book holds significance for users of commercial FE codes, as it elucidates how to assess the accuracy of these codes in integrating elastic-inelastic CRs when modeling large rotations superimposed on uniform deformation of any sample.

Weight: 203g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031296314
Edition number: 1st ed. 2023