Finite element implementation of incompressible, transversely isotropic hyperelasticity

Weiss, Jeffrey A.; Maker, Bradley N.; Govindjee, Sanjay

Year	Entry
2007	Cowin SC, Doty SB. Kinematics and mechanics of large deformations. In: Tissue Mechanics. Boca Raton, FL: Springer; 2007:507-557.
2007	Cowin SC, Doty SB. Tendon and ligament. In: Tissue Mechanics. Boca Raton, FL: Springer; 2007:559-594.
2002	Oshita F, Omori K, Nakahira Y, Miki K. Development of a finite element model of the human body. In: 7th International LS-DYNA Users Conference. May 19-21, 2002; Detroit, MI.3-37–3-48.
2013	Sahoo D, Deck C, Willinger R. Medical imaging data implementation into human FE head modelling and validation. In: Proceedings of the 2013 International IRCOBI Conference on the Biomechanics of Injury. September 11-13, 2013; Gothenburg, Sweden.563-575.
2020	Butz KD, Spurlock CM, Lister K. Validation of the CAVEMAN human body model lumbar spine response to vertical accelerative loading and the effect of spine curvature on skeletal fracture. In: Proceedings of the 2020 International IRCOBI Conference on the Biomechanics of Injury. 2020; Munich, Germany.113-122.
2008	Manoogian SJ, McNally C, Stitzel JD, Duma SM. Dynamic biaxial tissue properties of pregnant porcine uterine tissue. Stapp Car Crash J. 2008;52:167-185. SAE 2008-22-0007.
2017	Butz K, Spurlock C, Roy R, Bell C, Barrett P, Ward A, Xiao X, Shirley A, Welch C, Liste K. Development of the CAVEMAN human body model: validation of lower extremity sub-injurious response to vertical accelerative loading. Stapp Car Crash J. November 2017;61:175-209. SAE 2017-22-0006.
2020	Readioff R, Geraghty B, Comerford E, Elsheikh A. A full-field 3D digital image correlation and modelling technique to characterise anterior cruciate ligament mechanics ex vivo. Acta Biomater. September 1, 2020;113:417-428.
2005	Blemker SS, Delp SL. Three-dimensional representation of complex muscle architectures and geometries. Ann Biomed Eng. May 2005;33(5):661-673.
2007	Anderson AE, Ellis BJ, Weiss JA. Verification, validation and sensitivity studies in computational biomechanics. Comput Methods Biomech Biomed Eng. June 2007;10(3):171-184.
2004	Natali AN, Pavan PG, Carniel EL, Dorow C. Viscoelastic response of the periodontal ligament: an experimental–numerical analysis. Connect Tissue Res. 2004;45(4-5):220-230.
2010	Natali AN, Pavan PG, Stecco C. A constitutive model for the mechanical characterization of the plantar fascia. Connect Tissue Res. 2010;51(5):337-346.
2001	Weiss JA, Gardiner JC. Computational modeling of ligament mechanics. Crit Rev Biomed Eng. 2001;29(3):303-371.
2008	Cheng H-YK, Lin C-L, Chou S-W, Wang H-W. Nonlinear finite element analysis of the plantar fascia due to the windlass mechanism. Foot Ankle Int. 2008;29(8):845-851.
2020	Benos L, Stanev D, Spyrou L, Moustakas K, Tsaopoulos DE. A review on finite element modeling and simulation of the anterior cruciate ligament reconstruction. Front Bioeng Biotechnol. August 20, 2020;8:967.
2002	Weiss JA, Gardiner JC, Bonifasi-Lista C. Ligament material behavior is nonlinear, viscoelastic and rate-independent under shear loading. J Biomech. July 2002;35(6):943-950.
2005	Blemker SS, Pinsky PM, Delp SL. A 3D model of muscle reveals the causes of nonuniform strains in the biceps brachii. J Biomech. April 1, 2005;38(4):657-665.
2010	Rehorn MR, Blemker SS. The effects of aponeurosis geometry on strain injury susceptibility explored with a 3D muscle model. J Biomech. September 17, 2010;43(13):2574-2581.
2012	Manoogian SJ, Bisplinghoff JA, Kemper AR, Duma SM. Dynamic material properties of the pregnant human uterus. J Biomech. June 1, 2012;45(9):1724-1727.
2020	Wang B, Liu J, Li W, Zhou Z. Modeling the initial-volume dependent approximate compressibility of porcine liver tissues using a novel volumetric strain energy model. J Biomech. August 26, 2020;109:109901.
2023	Sabik A, Witkowski W. On implementation of fibrous connective tissues’ damage in Abaqus software. J Biomech. August 2023;157:111736.
1998	Puso MA, Weiss JA. Finite element implementation of anisotropic quasi-linear viscoelasticity using a discrete spectrum approximation. J Biomech Eng. February 1998;120(1):62-70.
2006	Ning X, Zhu Q, Lanir Y, Margulies SS. A transversely isotropic viscoelastic constitutive equation for brainstem undergoing finite deformation. J Biomech Eng. December 2006;128(6):925-933.
2007	Ateshian GA, Ellis BJ, Weiss JA. Equivalence between short-time biphasic and incompressible elastic material responses. J Biomech Eng. June 2007;129(3):405-412.
2012	Maas SA, Ellis BJ, Ateshian GA, Weiss JA. FEBio: finite elements for biomechanics. J Biomech Eng. January 2012;134(1):011005.
2013	Groves RB, Coulman SA, Birchall JC, Evans SL. An anisotropic, hyperelastic model for skin: experimental measurements, finite element modelling and identification of parameters for human and murine skin. J Mech Behav Biomed Mater. February 2013;18:167-180.
2017	Nikolaus A, Currey JD, Lindtner T, Fleck C, Zaslansky P. Importance of the variable periodontal ligament geometry for whole tooth mechanical function: a validated numerical study. J Mech Behav Biomed Mater. March 2017;67:61-73.
2020	Grega KL, Segall RN, Vaidya AJ, Fu C, Wheatley BB. Anisotropic and viscoelastic tensile mechanical properties of aponeurosis: experimentation, modeling, and tissue microstructure. J Mech Behav Biomed Mater. October 2020;110:103889.
2001	Criscione JC, Douglas AS, Hunter WC. Physically based strain invariant set for materials exhibiting transversely isotropic behavior. J Mech Phys Solids. April 2001;49(4):871-897.
2003	Gardiner JC, Weiss JA. Subject-specific finite element analysis of the human medial collateral ligament during valgus knee loading. J Orthop Res. 2003;21(6):1098-1106.
2004	Wagner DR, Lotz JC. Theoretical model and experimental results for the nonlinear elastic behavior of human annulus fibrosus. J Orthop Res. July 2004;22(4):901-909.
2005	Weiss JA, Gardiner JC, Ellis BJ, Lujan TJ, Phatak NS. Three-dimensional finite element modeling of ligaments: technical aspects. Med Eng Phys. December 2005;27(10):845-861.
2022	de Angelis N. Finite Element Analysis of Full Range of Motion Walking and Sitting Down in Patient-Specific Models With Cam Deformities [Master's thesis]. Carleton University; 2022.
2013	Abraham AC. From Meniscus to Bone: Structure and Function of Human Meniscal Entheses and Deleterious Effects of Osteoarthritis [PhD thesis]. Colorado State University; 2013.
2017	Wheatley BB. Finite Element Analysis of Skeletal Muscle: A Validated Approach to Modeling Muscle Force and Intramuscular Pressure [PhD thesis]. Colorado State University; 2017.
2021	Zaylor W. A Framework to Estimate Prestrain in Spring and Continuum Representations of Knee Ligaments [PhD thesis]. Cleveland State University; August 2021.
2009	Baldwin M. Explicit Finite Element Modeling of Knee Mechanics During Simulated Dynamic Activities [PhD thesis]. University of Denver; June 2009.
2000	LeRoux MA. Altered Mechanics of the Meniscus With a Healing Tear: Experimental Testing and Biphasic Finite Element Analysis [PhD thesis]. Duke University; 2000.
2009	Masouros S. Articular Contact in the Knee Joint: A Finite Element Study [PhD thesis]. Imperial College London; 2009.
2012	Famaey N. Soft Tissue Damage Prevention in Surgery: An Experimental and Computational Framework With Application to Arterial Clamping [PhD thesis]. Katholieke Universiteit Leuven; January 2012.
2005	Sadeghzadeh Milani A. Multi-Objective Inverse Method for Obtaining Constitutive Material Parameters of Textile Composites Using Two Hyperelastic Models [PhD thesis]. McGill University; 2005.
2011	Morrow DA. Development of a Continuum Mechanics Model of Passive Skeletal Muscle [PhD thesis]. Houghton, MI: Michigan Technological University; 2011.
2011	Villegas-Bermudez DF. Biomechanics of Meniscal Horn Attachments [PhD thesis]. Houghton, MI: Michigan Technological University; 2011.
2006	Liu X. Application of Mechano-Regulatory Tissue Differentiation Theory in Tendon Attachment Scaffold Design: A Finite Element Study [PhD thesis]. University of Notre Dame; April 2006.
2006	Mitchell BS. A Nonlinear Constitutive Model to Predict the Stress Strain Behavior of Small Intestinal Submucosa [Master's thesis]. University of Notre Dame; July 2006.
2006	Moore SM. Glenohumeral Capsule Should be Evaluated as a Sheet of Fibrous Tissue: A Study in Functional Anatomy [PhD thesis]. University of Pittsburgh; 2006.
2006	Rainis EJ. Characterizing the Mechanical Properties of the Glenohumeral Capsule: Implications for Finite Element Modeling [Master's thesis]. University of Pittsburgh; 2006.
2008	Drury NJ. Evaluating the Anterior Stability Provided by the Glenohumeral Capsule: A Finite Element Approach [Master's thesis]. University of Pittsburgh; 2008.
2011	Voycheck CA. Characterizing the Effects of Simulated Injury on the Structure and Function of the Glenohumeral Capsule [PhD thesis]. University of Pittsburgh; 2011.
2016	Miller RM. Biomechanical Factors Influencing the Successful Non-Operative Treatment of Rotator Cuff Tears [PhD thesis]. University of Pittsburgh; 2016.
2021	Jordan DB. Valgus Fatigue and Damage Accretion of the Anterior Bundle of the Ulnar Collateral Ligament: A Finite Element Evaluation [PhD thesis]. University of Pittsburgh; 2021.
2006	Yao J. Finite Element Modeling of the Meniscus in the Anterior Cruciate Ligament Deficient Knee With Magnetic Resonance Imaging Based Experimental Validation [PhD thesis]. University of Rochester; 2006.
2019	Jannesar S. The Mechanics of Contusion Spinal Cord Injury: Towards Patient-Specific Assessments of Mechanical Loading and Injury [PhD thesis]. Simon Fraser University; Summer 2019.
2004	Blemker SS. 3D Modeling of Complex Muscle Architecture and Geometry [PhD thesis]. Stanford University; July 2004.
2011	Webb JD. Contributions of the Deltoid and Rotator Cuff to Shoulder Mobility and Stability: A 3D Finite Element Analysis [PhD thesis]. Stanford University; August 2011.
2019	Akintunde AR. Mathematical Modeling to Elucidate Underlying Matrix Mechanisms in the Mechanical Response of Biological Soft Tissues [PhD thesis]. Tulane University; July 2019.
2021	Firminger CR. Experimental Measurement and Applied Modelling of Patellar Tendon Strain [PhD thesis]. Calgary, AB: University of Calgary; May 2021.
2002	Wagner DR. A Mechanistic Strain Energy Function and Experimental Results for the Human Annulus Fibrosus [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2002.
1997	Richards M. Strain Environment Effects on New Bone Formation and Precursor Tissue Differentiation During Distraction [PhD thesis]. University of Michigan; 1997.
2005	Gimbel JA. The Role of Tension on Supraspinatus Tendon to Bone Healing in a Newly Developed Animal Model of Chronic Rotator Cuff Tears [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2005.
2005	Guerin HAL. A Nonlinear Anisotropic Continuum Model of Human Annulus Fibrosus Mechanical Behavior [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2005.
2009	O'Connell GD. Degeneration Affects the Structural and Tissue Mechanics of the Intervertebral Disc [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2009.
2002	Gardiner JC. Computational Modeling of Ligament Mechanics [PhD thesis]. University of Utah; May 2002.
2012	Ellis BJ. Finite Element Modeling of Knee and Shoulder Ligaments [PhD thesis]. University of Utah; May 2012.
2012	Reese SP. Multiscale Structure-Function Relationships in the Mechanical Behavior of Tendon and Ligament [PhD thesis]. University of Utah; May 2012.
2017	Maas S. Development of a Nonlinear Finite Element Code for Computational Biomechanics and Biophysics [PhD thesis]. University of Utah; May 2017.
2011	Sharafi B. Micromechanical Modeling of Skeletal Muscle: Insights Into Structure and Function At the Fiber and Fascicle Levels [PhD thesis]. Charlottesville, VA: University of Virginia; May 2011.
2013	Fiorentino N. Insights Into Acute Muscle Strain Injury Obtained With in Vivo Imaging and Finite Element Modeling [PhD thesis]. Charlottesville, VA: University of Virginia; May 2013.
2014	Handsfield GG. MRI and Computational Modeling of in Vivo Muscle-Tendon Architecture and Function [PhD thesis]. Charlottesville, VA: University of Virginia; December 2014.
2019	Miller EY. Development of Novel Image Analysis and Modeling Tools to Examine Mechanisms of Muscle Damage in Duchenne Muscular Dystrophy [Master's thesis]. Charlottesville, VA: University of Virginia; August 2019.
2019	Pelland CM. Insights Into Velopharyngeal Closure Biomechanics Revealed Using MRI and Computational Modeling [PhD thesis]. Charlottesville, VA: University of Virginia; May 2019.
2020	Kong KSY. Development of a Computational Model of Skin Damage Under Blunt Impact to Investigate Skin Failure Threshold [PhD thesis]. Charlottesville, VA: University of Virginia; December 2020.
2021	Knaus KR. Form and Function Relationships Governing Complex Muscle-Soft Tissue Interactions Revealed With 3D Modeling: Applications to Aging [PhD thesis]. Charlottesville, VA: University of Virginia; May 2021.
2022	Williams AFO. Ex Vivo- and in Vivo-Based Computational Methods to Model Muscle Structure and Study 2D Ultrasound Measurements of 3D Muscle Architecture [PhD thesis]. Charlottesville, VA: University of Virginia; August 2022.
2018	Polak AM. ACL Strain During Single-Leg Jump Landing: An Experimental and Computational Investigation [Master's thesis]. University of Waterloo; 2018.
2008	Manoogian SJ. Protecting the Pregnant Occupant: Dynamic Material Properties of Uterus and Placenta [PhD thesis]. Virginia Polytechnic Institute and State University; May 29, 2008.
2018	Arora T. Development of a Subhuman Primate Brain Finite Element Model to Investigate Brain Injury Thresholds Induced by Head Rotation [Master's thesis]. Detroit, MI: Wayne State University; August 2018.
2020	Zhou R. Development of Rat Head Finite Element Model and Tissue Level Biomechanical Threshold for Traumatic Axonal Injury [PhD thesis]. Detroit, MI: Wayne State University; May 2020.

Year	Entry
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