PSI - Issue 35

Available online at www.sciencedirect.com Available online at www.sciencedirect.com Sci nceD rect Structural Integrity Procedia 00 (2021) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2021) 000–000

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Procedia Structural Integrity 35 (2022) 115–123

© 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of IWPDF 2021 Chair, Tuncay Yalçinkaya Abstract Degenerative diseases of the spine significantly reduce the quality of human life. The spine consists of vertebral bodies and intervertebral discs. The most degraded are intervertebral discs. To study the factors affecting the damageability of the discs, we propose assessing the stress and strain fields by numerical simulation. The vertebral body consists of a shell (cortical bone tissue) and internal contents (cancellous bone tissue). The intervertebral disc is a complex structural element of the spine, consisting of the nucleus pulposus, annulus fibrosus, and cartilaginous plates. To develop numerical models for vertebrae and intervertebral disc, first, it is necessary to verify and validate the material models. This paper for the first time presents new numerical models based on the movable cellular automation method for the materials of the constituent elements of the lumbar spine, their validation, and verification. The models are validated using tensile, compression, and indentation experiments. A good qualitative and quantitative agreement was found with the data of field experiments from the literature. © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of IWPDF 2021 Chair, Tuncay Yalçinkaya Keywords: tissues of lumbar spine, mechanical properties, computer simulation, method of movable cellular automata. 1. Introduction Currently, one of the main reasons for the disability of the population is degenerative-dystrophic diseases of the spine. The spine consists of vertebral bodies and intervertebral discs. The intervertebral disc undergoes the most degenerative changes, which require replacement with an artificial element. The vertebral body consists of a cortical shell and internal cancellous tissue. The intervertebral disc consists of three main parts: the nucleus, annulus, and 2nd International Workshop on Plasticity, Damage and Fracture of Engineering Materials Verification and validation of numerical models for the materials of the lumbar spine Galina Eremina*, Alexey Smolin Institute of Strength Physics and Materials Science SB RAS, 2/4, pr. Akademicheskii, Tomsk, 634055, Russia Abstract Degenerative diseases of the spine significantly reduce the quality of human life. The spine consists of vertebral bodies and intervertebral cs. The most degraded are i tervertebral discs. To study the factors aff cting the damageability of the disc , we propose assessing the stress an st in fields by num ric l s mulati n. The v rtebral body co sists of a sh ll (cortical bone ti sue) and int rnal co tents (cancellous bo e tissue). The intervertebral disc is a complex structural element of the spine, consist ng of the nucleus pulposu , an ulus fibr sus, and cartilaginous plates. To develop numerical models for vertebrae a d intervertebral disc, first, it is neces ary to verify and v li ate the material models. This pa er for the first time presen s new numerical models ba ed on the movable cellular automation method fo the materials of th c nstituent elements of th lumbar spine, th ir v lidati , and verification. The models are validated using tensile, compres ion, and ind tation xperiment . A good qualitative and quantitative agreement wa found with he data of fi ld xperi ent from the literature. © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review u der re ponsibility of IWPDF 2021 hair, Tu cay Yalçinkay K ywords: tiss es of lumbar spine, mechanical properties, computer simulation, method of movable cellular automata. 1. Introduction Currently, one of the main reasons for the disability of the population is degenerative-dystrophic diseases of the spin . The spine consists of vertebral bodies and ntervert bral discs. The int rvertebral disc undergo s the most degenerative changes, which require replacement w th an artificial element. The vertebral body co sists of a cortical shell and intern l cancellous tiss e. The intervertebral disc consists of three main pa ts: the nucleu , annulus, and 2nd International Workshop on Plasticity, Damage and Fracture of Engineering Materials Verification and validation of numerical models for the materials of the lumbar spine Galina Eremina*, Alexey Smolin Institute of Strength Physics and Materials Science SB RAS, 2/4, pr. Akademicheskii, Tomsk, 634055, Russia

* Corresponding author. Tel.: +7-382-228-6975; fax: +7-382-249-2576. E-mail address: anikeeva@ispms.ru * Corresponding author. Tel.: +7-382-228-6975; fax: +7-382-249-2576. E-mail address: anikeeva@ispms.ru

2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of IWPDF 2021 Chair, Tuncay Yalçinkaya 2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review u der responsibility of IWPDF 2021 hair, Tuncay Yalçinkay

2452-3216 © 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of IWPDF 2021 Chair, Tuncay Yal ç inkaya 10.1016/j.prostr.2021.12.055