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

ONYM

Preliminaries,ticity models. In Sect.?., we consider the objective (Lagrangian and Eulerian) strain tensors known in the literature. In Sect.?., we present objective strain rates and formulate some propositions that will be used to establish the laws of multiplicative decomposition of rotation tensors associated

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Incremental Tensors and the Incremental Objectivity of Tensors, counterparts. To maintain the objectivity property of the original time-continuous tensors and their rates for their incremental counterparts, in Sect.?. we introduce Definition?. of the incremental objectivity of Eulerian tensors. In Sect.?. we introduce some incrementally objective kinematic tens

MORPH

Incrementally Objective Algorithms for Integrating CRs for Hooke-Like Hypoelastic Models in the Eule the basis for constructing both weak incrementally objective algorithms in the Hughes–Winget and Rubinstein–Atluri versions (Sect.?.) and strong incrementally objective algorithms (Sect.?.). It is noted that weak incrementally objective algorithms do not exactly reproduce SRBMs, whereas strong inc

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Comparative Analysis and Verification of Objective Algorithms,uniform deformation of hypoelastic bodies. Sect.?. presents exact solutions of simple extension and simple shear problems and estimates of the accuracy of the approximate incremental strains discussed in Chaps.?. and . as applied to these problems. Sect.?. provides background on computer simulations

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Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress978-3-031-29632-1Series ISSN 2191-530X Series E-ISSN 2191-5318

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Concluding Remarks,In this chapter we summarize and comment on all the research presented in this book.