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Computer Methods in Biomechanics and Biomedical Engineering Volume 1, 1997 - Issue 2
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Mixed and Penalty Finite Element Models for the Nonlinear Behavior of Biphasic Soft Tissues in Finite Deformation: Part II — Nonlinear Examples

EDGARD S. ALMEIDA Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Department of Biomedical Engineering, Scientific Computation Research Center Rensselaer Polytechnic Institute, Troy, NY, 12180-3590
&
ROBERT L. SPILKER Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Department of Biomedical Engineering, Scientific Computation Research Center Rensselaer Polytechnic Institute, Troy, NY, 12180-3590
Pages 151-170 | Received 04 Jan 1997, Accepted 31 Jul 1997, Published online: 27 Apr 2007

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Aftab Ahmed, J. I. Siddique & Asif Mahmood. (2017) Non-Newtonian flow-induced deformation from pressurized cavities in absorbing porous tissues. Computer Methods in Biomechanics and Biomedical Engineering 20:13, pages 1464-1473.
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Andrea Malandrino, Jérôme Noailly & Damien Lacroix. (2013) Regional annulus fibre orientations used as a tool for the calibration of lumbar intervertebral disc finite element models. Computer Methods in Biomechanics and Biomedical Engineering 16:9, pages 923-928.
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Bruno Klahr, José Luís Medeiros Thiesen, Otávio Teixeira Pinto, Thiago André Carniel & Eduardo Alberto Fancello. (2022) An investigation of coupled solution algorithms for finite‐strain poroviscoelasticity applied to soft biological tissues. International Journal for Numerical Methods in Engineering 123:9, pages 2112-2141.
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David M. Pierce. (2021) Multi-phase, large-strain constitutive models of cartilage for finite element analyses in 3-D. Archive of Applied Mechanics 92:2, pages 513-528.
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Michelle Hine Armstrong, Adrián Buganza Tepole, Ellen Kuhl, Bruce R. Simon & Jonathan P. Vande Geest. (2016) A Finite Element Model for Mixed Porohyperelasticity with Transport, Swelling, and Growth. PLOS ONE 11:4, pages e0152806.
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J.L. Harper, B.R. Simon & J.P. Vande Geest. (2014) A one-dimensional mixed porohyperelastic transport swelling finite element model with growth. Journal of the Mechanical Behavior of Biomedical Materials 29, pages 663-675.
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John R. Owen & Jennifer S. Wayne. (2010) Contact models of repaired articular surfaces: influence of loading conditions and the superficial tangential zone. Biomechanics and Modeling in Mechanobiology 10:4, pages 461-471.
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Jonathan P. Vande Geest, B. R. Simon, Paul H. Rigby & Tyler P. Newberg. (2011) Coupled Porohyperelastic Mass Transport (PHEXPT) Finite Element Models for Soft Tissues Using ABAQUS. Journal of Biomechanical Engineering 133:4.
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Taiseung Yang & Robert L. Spilker. (2007) A Lagrange Multiplier Mixed Finite Element Formulation for Three-Dimensional Contact of Biphasic Tissues. Journal of Biomechanical Engineering 129:3, pages 457-471.
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A. Pérez del Palomar & M. Doblaré. (2006) On the numerical simulation of the mechanical behaviour of articular cartilage. International Journal for Numerical Methods in Engineering 67:9, pages 1244-1271.
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J. R. Owen & J. S. Wayne. (2006) Influence of a Superficial Tangential Zone Over Repairing Cartilage Defects: Implications for Tissue Engineering. Biomechanics and Modeling in Mechanobiology 5:2-3, pages 102-110.
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A. Pérez del Palomar & M. Doblaré. (2006) 3D Finite Element Simulation of the Opening Movement of the Mandible in Healthy and Pathologic Situations. Journal of Biomechanical Engineering 128:2, pages 242-249.
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A. Pérez del Palomar & M. Doblaré. (2006) Finite element analysis of the temporomandibular joint during lateral excursions of the mandible. Journal of Biomechanics 39:12, pages 2153-2163.
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A. Pérez del Palomar & M. Doblaré. (2006) The effect of collagen reinforcement in the behaviour of the temporomandibular joint disc. Journal of Biomechanics 39:6, pages 1075-1085.
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Bram G. Sengers, Cees W. J. Oomens & Frank P. T. Baaijens. (2004) An Integrated Finite-Element Approach to Mechanics, Transport and Biosynthesis in Tissue Engineering. Journal of Biomechanical Engineering 126:1, pages 82-91.
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W. L. Dunbar,Jr.Jr., K. U¨n, P. S. Donzelli & R. L. Spilker. (2001) An Evaluation of Three-Dimensional Diarthrodial Joint Contact Using Penetration Data and the Finite Element Method. Journal of Biomechanical Engineering 123:4, pages 333-340.
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J. J. Garcia, N. J. Altiero & R. C. Haut. (2000) Estimation of in Situ Elastic Properties of Biphasic Cartilage Based on a Transversely Isotropic Hypo-Elastic Model. Journal of Biomechanical Engineering 122:1, pages 1-8.
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D. N. Sun, W. Y. Gu, X. E. Guo, W. M. Lai & V. C. Mow. (1999) A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues. International Journal for Numerical Methods in Engineering 45:10, pages 1375-1402.
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