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Titlebook: Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress; Sergey Korobeynikov,Alexey Larichkin

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书目名称Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress
编辑Sergey Korobeynikov,Alexey Larichkin
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概述Explains the step-by-step integration of constitutive relations of objective algorithms.Provides a thorough understanding oof objective algorithms for integrating Hooke-like hypoelasticity.Offers a co
丛书名称SpringerBriefs in Applied Sciences and Technology
图书封面Titlebook: Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress;  Sergey Korobeynikov,Alexey Larichkin
描述.This 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. The purpose of objective algorithms is to perform the step-by-step integration of CRs using fairly large time steps that provide high accuracy of this integration in combination with the exact reproduction of superimposed rigid body motions. Since Hooke-like hypoelasticity is included as a component in CRs for elastic-inelastic materials (e.g., in CRs for elastic-plastic materials), the scope of these algorithms is not limited to hypoelastic materials, but extends to many other materials subjected to large deformations. The authors performed a comparative analysis of the performance of most currently available objective algorithms, provided some recommendations for improving the existing formulations of these algorithms, and presented new formulations of the so-called absolutely objective algorithms. The proposed book will be useful for beginner researchers in the development of economical methods for integrating elastic-inelastic CRs, as well as for experienced researche
出版日期Book 2023
关键词Rubinstein--Atluri algorithm; hypoelastic material models; Hooke-like hypoelasticity; Lagrangian tensor
版次1
doihttps://doi.org/10.1007/978-3-031-29632-1
isbn_softcover978-3-031-29631-4
isbn_ebook978-3-031-29632-1Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2023
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Sergey Korobeynikov,Alexey Larichkines influence consumers, readers, viewers, and gamers.Explore.This book takes the concept of “dark tourism”—journeys to sites of death, suffering, and calamity—in an innovative yet essential direction by applying it to the virtual realms of literature, film and television, the Internet, and gaming. E
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es influence consumers, readers, viewers, and gamers.Explore.This book takes the concept of “dark tourism”—journeys to sites of death, suffering, and calamity—in an innovative yet essential direction by applying it to the virtual realms of literature, film and television, the Internet, and gaming. E
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Introduction,of the art of these studies is presented in Sect. .. In Sect. . we formulate the objectives of this study and give a brief overview of the development of the considered algorithms and new (previously unpublished) objective algorithms developed by us for integrating hypoelastic constitutive relations
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