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Wang Y, Xu Y, Kang J, Fritz J, Iordachita I. Simulation-based Flexible Needle Control with Single-core FBG Feedback for Spinal Injections. IEEE TRANSACTIONS ON MEDICAL ROBOTICS AND BIONICS 2024; 6:1073-1083. [PMID: 39131204 PMCID: PMC11315370 DOI: 10.1109/tmrb.2024.3421630] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 08/13/2024]
Abstract
Objective We present a general framework of simultaneous needle shape reconstruction and control input generation for robot-assisted spinal injection procedures, without continuous imaging feedback. Methods System input-output mapping is generated with a real-time needle-tissue interaction simulation, and single-core FBG sensor readings are used as local needle shape feedback within the same simulation framework. FBG wavelength shifts due to temperature variation is removed by exploiting redundancy in fiber arrangement. Results Targeting experiments performed on both plastisol lumbar phantoms as well as an ex vivo porcine lumbar section achieved in-plane tip errors of 0.6 ± 0.3 mm and 1.6 ± 0.9 mm , and total tip errors of 0.9 ± 0.7 mm and 2.1 ± 0.8 mm for the two testing environments. Significance Our clinically inspired control strategy and workflow is self-contained and not dependent on the modality of imaging guidance. The generalizability of the proposed approach can be applied to other needle-based interventions where medical imaging cannot be reliably utilized as part of a closed-loop control system for needle guidance.
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Affiliation(s)
- Yanzhou Wang
- Department of Mechanical Engineering and Laboratory for Computational Sensing and Robotics, Johns Hopkins University, Baltimore, Maryland, USA
| | - Yangsheng Xu
- Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland, USA
| | - Jiarong Kang
- Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland, USA
| | - Jan Fritz
- Department of Radiology, New York University, New York City, New York, USA
| | - Iulian Iordachita
- Department of Mechanical Engineering and Laboratory for Computational Sensing and Robotics, Johns Hopkins University, Baltimore, Maryland, USA
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Wang C, Zhao Z, Han J, Sharma AA, Wang H, Zhang XS. Wireless Magnetic Robot for Precise Hierarchical Control of Tissue Deformation. ADVANCED SCIENCE (WEINHEIM, BADEN-WURTTEMBERG, GERMANY) 2024:e2308619. [PMID: 39041885 DOI: 10.1002/advs.202308619] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/10/2023] [Revised: 06/20/2024] [Indexed: 07/24/2024]
Abstract
Mechanotherapy has emerged as a promising treatment for tissue injury. However, existing robots for mechanotherapy are often designed on intuition, lack remote and wireless control, and have limited motion modes. Herein, through topology optimization and hybrid fabrication, wireless magneto-active soft robots are created that can achieve various modes of programmatic deformations under remote magnetic actuation and apply mechanical forces to tissues in a precise and predictable manner. These soft robots can quickly and wirelessly deform under magnetic actuation and are able to deliver compressing, stretching, shearing, and multimodal forces to the surrounding tissues. The design framework considers the hierarchical tissue-robot interaction and, therefore, can design customized soft robots for different types of tissues with varied mechanical properties. It is shown that these customized robots with different programmable motions can induce precise deformations of porcine muscle, liver, and heart tissues with excellent durability. The soft robots, the underlying design principles, and the fabrication approach provide a new avenue for developing next-generation mechanotherapy.
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Affiliation(s)
- Chao Wang
- Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA
| | - Zhi Zhao
- Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA
| | - Joonsu Han
- Department of Materials Science and Engineering, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA
| | - Arvin Ardebili Sharma
- Department of Materials Science and Engineering, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA
| | - Hua Wang
- Department of Materials Science and Engineering, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA
| | - Xiaojia Shelly Zhang
- Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA
- Department of Mechanical Science and Engineering, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA
- National Center for Supercomputing Applications, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA
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Sugerman GP, Bechtel GN, Malinowska Z, Parekh SH, Rausch MK. Mechanical properties of clot made from human and bovine whole blood differ significantly. J Mech Behav Biomed Mater 2024; 154:106508. [PMID: 38513312 DOI: 10.1016/j.jmbbm.2024.106508] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/18/2023] [Revised: 02/24/2024] [Accepted: 03/13/2024] [Indexed: 03/23/2024]
Abstract
Thromboembolism - that is, clot formation and the subsequent fragmentation of clot - is a leading cause of death worldwide. Clots' mechanical properties are critical determinants of both the embolization process and the pathophysiological consequences thereof. Thus, understanding and quantifying the mechanical properties of clots is important to our ability to treat and prevent thromboembolic disease. However, assessing these properties from in vivo clots is experimentally challenging. Therefore, we and others have turned to studying in vitro clot mimics instead. Unfortunately, there are significant discrepancies in the reported properties of these clot mimics, which have been hypothesized to arise from differences in experimental techniques and blood sources. The goal of our current work is therefore to compare the mechanical behavior of clots made from the two most common sources, human and bovine blood, using the same experimental techniques. To this end, we tested clots under pure shear with and without initial cracks, under cyclic loading, and under stress relaxation. Based on these data, we computed and compared stiffness, strength, work-to-rupture, fracture toughness, relaxation time constants, and prestrain. While clots from both sources behaved qualitatively similarly, they differed quantitatively in almost every metric. We also correlated each mechanical metric to measures of blood composition. Thereby, we traced this inter-species variability in clot mechanics back to significant differences in hematocrit, but not platelet count. Thus, our work suggests that the results of past studies that have used bovine blood to make in vitro mimics - without adjusting blood composition - should be interpreted carefully. Future studies about the mechanical properties of blood clots should focus on human blood alone.
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Affiliation(s)
- Gabriella P Sugerman
- University of Texas at Austin, Department of Biomedical Engineering, 107 W Dean Keeton St, Austin, TX 78712, United States of America
| | - Grace N Bechtel
- University of Texas at Austin, Department of Biomedical Engineering, 107 W Dean Keeton St, Austin, TX 78712, United States of America
| | - Zuzanna Malinowska
- University of Texas at Austin, Department of Aerospace Engineering & Engineering Mechanics, 2617 Wichita St, Austin, TX 78712, United States of America
| | - Sapun H Parekh
- University of Texas at Austin, Department of Biomedical Engineering, 107 W Dean Keeton St, Austin, TX 78712, United States of America
| | - Manuel K Rausch
- University of Texas at Austin, Department of Biomedical Engineering, 107 W Dean Keeton St, Austin, TX 78712, United States of America; University of Texas at Austin, Department of Aerospace Engineering & Engineering Mechanics, 2617 Wichita St, Austin, TX 78712, United States of America; University of Texas at Austin, Department of Mechanical Engineering, 204 E Dean Keeton St, Austin, TX 78712, United States of America; University of Texas at Austin, Oden Institute for Computational Engineering and Sciences, 201 E 24th St, Austin, TX 78712, United States of America.
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Remus R, Sure C, Selkmann S, Uttich E, Bender B. Soft tissue material properties based on human abdominal in vivo macro-indenter measurements. Front Bioeng Biotechnol 2024; 12:1384062. [PMID: 38854855 PMCID: PMC11157078 DOI: 10.3389/fbioe.2024.1384062] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/08/2024] [Accepted: 04/22/2024] [Indexed: 06/11/2024] Open
Abstract
Simulations of human-technology interaction in the context of product development require comprehensive knowledge of biomechanical in vivo behavior. To obtain this knowledge for the abdomen, we measured the continuous mechanical responses of the abdominal soft tissue of ten healthy participants in different lying positions anteriorly, laterally, and posteriorly under local compression depths of up to 30 mm. An experimental setup consisting of a mechatronic indenter with hemispherical tip and two time-of-flight (ToF) sensors for optical 3D displacement measurement of the surface was developed for this purpose. To account for the impact of muscle tone, experiments were conducted with both controlled activation and relaxation of the trunk muscles. Surface electromyography (sEMG) was used to monitor muscle activation levels. The obtained data sets comprise the continuous force-displacement data of six abdominal measurement regions, each synchronized with the local surface displacements resulting from the macro-indentation, and the bipolar sEMG signals at three key trunk muscles. We used inverse finite element analysis (FEA), to derive sets of nonlinear material parameters that numerically approximate the experimentally determined soft tissue behaviors. The physiological standard values obtained for all participants after data processing served as reference data. The mean stiffness of the abdomen was significantly different when the trunk muscles were activated or relaxed. No significant differences were found between the anterior-lateral measurement regions, with exception of those centered on the linea alba and centered on the muscle belly of the rectus abdominis below the intertubercular plane. The shapes and areas of deformation of the skin depended on the region and muscle activity. Using the hyperelastic Ogden model, we identified unique material parameter sets for all regions. Our findings confirmed that, in addition to the indenter force-displacement data, knowledge about tissue deformation is necessary to reliably determine unique material parameter sets using inverse FEA. The presented results can be used for finite element (FE) models of the abdomen, for example, in the context of orthopedic or biomedical product developments.
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Affiliation(s)
- Robin Remus
- Chair of Product Development, Department of Mechanical Engineering, Ruhr-University Bochum, Bochum, Germany
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Gültekin O, Lohr MJ, Bechtel GN, Rausch MK. "What makes blood clots break off?" A Back-of-the-Envelope Computation Toward Explaining Clot Embolization. Cardiovasc Eng Technol 2024:10.1007/s13239-024-00733-2. [PMID: 38771453 DOI: 10.1007/s13239-024-00733-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 12/12/2023] [Accepted: 05/03/2024] [Indexed: 05/22/2024]
Abstract
PURPOSE One in four deaths worldwide is due to thromboembolic disease; that is, one in four people die from blood clots first forming and then breaking off or embolizing. Once broken off, clots travel downstream, where they occlude vital blood vessels such as those of the brain, heart, or lungs, leading to strokes, heart attacks, or pulmonary embolisms, respectively. Despite clots' obvious importance, much remains to be understood about clotting and clot embolization. In our work, we take a first step toward untangling the mystery behind clot embolization and try to answer the simple question: "What makes blood clots break off?" METHODS To this end, we conducted experimentally-informed, back-of-the-envelope computations combining fracture mechanics and phase-field modeling. We also focused on deep venous clots as our model problem. RESULTS Here, we show that of the three general forces that act on venous blood clots-shear stress, blood pressure, and wall stretch-induced interfacial forces-the latter may be a critical embolization force in occlusive and non-occlusive clots, while blood pressure appears to play a determinant role only for occlusive clots. Contrary to intuition and prior reports, shear stress, even when severely elevated, appears unlikely to cause embolization. CONCLUSION This first approach to understanding the source of blood clot bulk fracture may be a critical starting point for understanding blood clot embolization. We hope to inspire future work that will build on ours and overcome the limitations of these back-of-the-envelope computations.
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Affiliation(s)
- Osman Gültekin
- Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, 78712, USA
| | - Matthew J Lohr
- Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX, 78712, USA
| | - Grace N Bechtel
- Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX, 78712, USA
| | - Manuel K Rausch
- Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, 78712, USA.
- Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX, 78712, USA.
- Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, 78712, USA.
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Pettenuzzo S, Belluzzi E, Pozzuoli A, Macchi V, Porzionato A, Boscolo-Berto R, Ruggieri P, Berardo A, Carniel EL, Fontanella CG. Mechanical Behaviour of Plantar Adipose Tissue: From Experimental Tests to Constitutive Analysis. Bioengineering (Basel) 2023; 11:42. [PMID: 38247919 PMCID: PMC10813593 DOI: 10.3390/bioengineering11010042] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/11/2023] [Revised: 12/22/2023] [Accepted: 12/28/2023] [Indexed: 01/23/2024] Open
Abstract
Plantar adipose tissue is a connective tissue whose structural configuration changes according to the foot region (rare or forefoot) and is related to its mechanical role, providing a damping system able to adsorb foot impact and bear the body weight. Considering this, the present work aims at fully describing the plantar adipose tissue's behaviour and developing a proper constitutive formulation. Unconfined compression tests and indentation tests have been performed on samples harvested from human donors and cadavers. Experimental results provided the initial/final elastic modulus for each specimen and assessed the non-linear and time-dependent behaviour of the tissue. The different foot regions were investigated, and the main differences were observed when comparing the elastic moduli, especially the final elastic ones. It resulted in a higher level for the medial region (89 ± 77 MPa) compared to the others (from 51 ± 29 MPa for the heel pad to 11 ± 7 for the metatarsal). Finally, results have been used to define a visco-hyperelastic constitutive model, whose hyperelastic component, which describes tissue non-linear behaviour, was described using an Ogden formulation. The identified and validated tissue constitutive parameters could serve, in the early future, for the computational model of the healthy foot.
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Affiliation(s)
- Sofia Pettenuzzo
- Department of Civil, Environmental and Architectural Engineering, University of Padova, 35131 Padova, Italy; (S.P.); (A.B.)
| | - Elisa Belluzzi
- Musculoskeletal Pathology and Oncology Laboratory, Department of Surgery, Oncology and Gastroenterology, University of Padova (DiSCOG), Via Giustiniani 3, 35128 Padova, Italy; (E.B.); (A.P.)
- Orthopedics and Orthopedic Oncology, Department of Surgery, Oncology and Gastroenterology (DiSCOG), University of Padova, Via Giustiniani 3, 35128 Padova, Italy;
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
| | - Assunta Pozzuoli
- Musculoskeletal Pathology and Oncology Laboratory, Department of Surgery, Oncology and Gastroenterology, University of Padova (DiSCOG), Via Giustiniani 3, 35128 Padova, Italy; (E.B.); (A.P.)
- Orthopedics and Orthopedic Oncology, Department of Surgery, Oncology and Gastroenterology (DiSCOG), University of Padova, Via Giustiniani 3, 35128 Padova, Italy;
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
| | - Veronica Macchi
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
- Department of Neuroscience, Institute of Human Anatomy, University of Padova, 35121 Padova, Italy
- Veneto Region Reference Center for the Preservation and Use of Gifted Bodies, Veneto Region, 35100 Padua, Italy
| | - Andrea Porzionato
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
- Department of Neuroscience, Institute of Human Anatomy, University of Padova, 35121 Padova, Italy
- Veneto Region Reference Center for the Preservation and Use of Gifted Bodies, Veneto Region, 35100 Padua, Italy
| | - Rafael Boscolo-Berto
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
- Department of Neuroscience, Institute of Human Anatomy, University of Padova, 35121 Padova, Italy
- Veneto Region Reference Center for the Preservation and Use of Gifted Bodies, Veneto Region, 35100 Padua, Italy
| | - Pietro Ruggieri
- Orthopedics and Orthopedic Oncology, Department of Surgery, Oncology and Gastroenterology (DiSCOG), University of Padova, Via Giustiniani 3, 35128 Padova, Italy;
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
| | - Alice Berardo
- Department of Civil, Environmental and Architectural Engineering, University of Padova, 35131 Padova, Italy; (S.P.); (A.B.)
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
- Department of Biomedical Sciences, University of Padova, 35131 Padova, Italy
| | - Emanuele Luigi Carniel
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
- Department of Industrial Engineering, University of Padova, 35131 Padova, Italy
| | - Chiara Giulia Fontanella
- Centre for Mechanics of Biological Materials, University of Padova, 35131 Padova, Italy; (V.M.); (A.P.); (R.B.-B.); (E.L.C.)
- Department of Industrial Engineering, University of Padova, 35131 Padova, Italy
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Giolando P, Kakaletsis S, Zhang X, Weickenmeier J, Castillo E, Dortdivanlioglu B, Rausch MK. AI-dente: an open machine learning based tool to interpret nano-indentation data of soft tissues and materials. SOFT MATTER 2023; 19:6710-6720. [PMID: 37622379 PMCID: PMC10499084 DOI: 10.1039/d3sm00402c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2023] [Accepted: 08/10/2023] [Indexed: 08/26/2023]
Abstract
Nano-indentation is a promising method to identify the constitutive parameters of soft materials, including soft tissues. Especially when materials are very small and heterogeneous, nano-indentation allows mechanical interrogation where traditional methods may fail. However, because nano-indentation does not yield a homogeneous deformation field, interpreting the resulting load-displacement curves is non-trivial and most investigators resort to simplified approaches based on the Hertzian solution. Unfortunately, for small samples and large indentation depths, these solutions are inaccurate. We set out to use machine learning to provide an alternative strategy. We first used the finite element method to create a large synthetic data set. We then used these data to train neural networks to inversely identify material parameters from load-displacement curves. To this end, we took two different approaches. First, we learned the indentation forward problem, which we then applied within an iterative framework to identify material parameters. Second, we learned the inverse problem of directly identifying material parameters. We show that both approaches are effective at identifying the parameters of the neo-Hookean and Gent models. Specifically, when applied to synthetic data, our approaches are accurate even for small sample sizes and at deep indentation. Additionally, our approaches are fast, especially compared to the inverse finite element approach. Finally, our approaches worked on unseen experimental data from thin mouse brain samples. Here, our approaches proved robust to experimental noise across over 1000 samples. By providing open access to our data and code, we hope to support others that conduct nano-indentation on soft materials.
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Affiliation(s)
- Patrick Giolando
- The University of Texas at Austin, Department of Biomedical Engineering, USA
| | - Sotirios Kakaletsis
- The University of Texas at Austin, Department of Aerospace Engineering & Engineering Mechanics, USA
| | - Xuesong Zhang
- Stevens Institute of Technology, Department of Mechanical Engineering, USA
| | | | - Edward Castillo
- The University of Texas at Austin, Department of Biomedical Engineering, USA
| | - Berkin Dortdivanlioglu
- The University of Texas at Austin, Department of Civil, Environmental, and Architectural Engineering, USA.
- The University of Texas at Austin, Oden Institute for Computational Engineering and Sciences, USA
| | - Manuel K Rausch
- The University of Texas at Austin, Department of Biomedical Engineering, USA
- The University of Texas at Austin, Department of Aerospace Engineering & Engineering Mechanics, USA
- The University of Texas at Austin, Department of Mechanical Engineering, USA
- The University of Texas at Austin, Oden Institute for Computational Engineering and Sciences, USA
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Varner H, Sugerman GP, Rausch MK, Cohen T. Elasticity of whole blood clots measured via Volume Controlled Cavity Expansion. J Mech Behav Biomed Mater 2023; 143:105901. [PMID: 37207527 DOI: 10.1016/j.jmbbm.2023.105901] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2023] [Revised: 04/29/2023] [Accepted: 05/07/2023] [Indexed: 05/21/2023]
Abstract
Measuring and understanding the mechanical properties of blood clots can provide insights into disease progression and the effectiveness of potential treatments. However, several limitations hinder the use of standard mechanical testing methods to measure the response of soft biological tissues, like blood clots. These tissues can be difficult to mount, and are inhomogeneous, irregular in shape, scarce, and valuable. To remedy this, we employ in this work Volume Controlled Cavity Expansion (VCCE), a technique that was recently developed, to measure local mechanical properties of soft materials in their natural environment. Through highly controlled volume expansion of a water bubble at the tip of an injection needle, paired with simultaneous measurement of the resisting pressure, we obtain a local signature of whole blood clot mechanical response. Comparing this data with predictive theoretical models, we find that a 1-term Ogden model is sufficient to capture the nonlinear elastic response observed in our experiments and produces shear modulus values that are comparable to values reported in the literature. Moreover, we find that bovine whole blood stored at 4 °C for greater than 2 days exhibits a statistically significant shift in the shear modulus from 2.53 ± 0.44 kPa on day 2 (N = 13) to 1.23 ± 0.18 kPa on day 3 (N = 14). In contrast to previously reported results, our samples did not exhibit viscoelastic rate sensitivity within strain rates ranging from 0.22 - 21.1 s-1. By surveying existing data on whole blood clots for comparison, we show that this technique provides highly repeatable and reliable results, hence we propose the more widespread adoption of VCCE as a path forward to building a better understanding of the mechanics of soft biological materials.
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Affiliation(s)
- Hannah Varner
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, 02139, MA, USA
| | - Gabriella P Sugerman
- Department of Biomedical Engineering, University of Texas at Austin, Austin, 78712, TX, USA
| | - Manuel K Rausch
- Department of Biomedical Engineering, University of Texas at Austin, Austin, 78712, TX, USA; Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, 78712, TX, USA; Oden Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, 78712, TX, USA
| | - Tal Cohen
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, 02139, MA, USA; Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, 02139, MA, USA.
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St. Pierre SR, Linka K, Kuhl E. Principal-stretch-based constitutive neural networks autonomously discover a subclass of Ogden models for human brain tissue. BRAIN MULTIPHYSICS 2023. [DOI: 10.1016/j.brain.2023.100066] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/30/2023] Open
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10
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Destrade M, Dorfmann L, Saccomandi G. The Ogden model of rubber mechanics: 50 years of impact on nonlinear elasticity. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2022; 380:20210332. [PMID: 36031839 PMCID: PMC9421375 DOI: 10.1098/rsta.2021.0332] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/29/2022] [Accepted: 07/29/2022] [Indexed: 06/15/2023]
Abstract
We place the Ogden model of rubber elasticity, published in Proceedings of the Royal Society 50 years ago, in the wider context of the theory of nonlinear elasticity. We then follow with a short interview of Ray Ogden FRS and introduce the papers collected for this Theme Issue. This article is part of the theme issue 'The Ogden model of rubber mechanics: Fifty years of impact on nonlinear elasticity'.
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Affiliation(s)
- Michel Destrade
- School of Mathematical and Statistical Sciences, NUI Galway, Galway, Republic of Ireland
| | - Luis Dorfmann
- Department of Civil and Environmental Engineering, Tufts University, Medford, MA 02155, USA
| | - Giuseppe Saccomandi
- Dipartimento di Ingegneria, Università degli studi di Perugia, 06125 Perugia, Italy
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