1. Freed, A. D.; and Srivinasa, A. R.: “Logarithmic Strain and Its Material Derivative for a QR Decomposition of the Deformation Gradient,” ACTA Mechanica, 226 (2015), 2645-2670. DOI: 10.1007/s00707-015-1344-0.
2. Freed, A. D.: “Hencky Strain and Logarithmic Rates in Lagrangian Analysis,” International Journal of Engineering Science, 81 (2014), 135- 145. DOI 10.1016/j.ijengsci.2014.04.016.
3. Freed, A. D.; Liao, J.; and Einstein, D. R.: “A Membrane Model from Implicit Elasticity Theory: Application to visceral pleura.” Biomechanics and Modeling in Mechanobiology, 13 (2014), 871-881. DOI 10.1007/s10237-013- 0542-8.
4. Freed, A. D.; and Einstein, D. R.: “An Implicit Elastic Theory for Lung Parenchyma.” International Journal of Engineering Science, 62 (2013), 31-47. DOI: 10.1016/j.ijengsci.2012.08.003.
5. Freed, A. D.; and Einstein, D. R.: “Hypo-Elastic Model for Lung Parenchyma.” Biomechanics and Modeling in Mechanobiology, 11 (2012), 557-573. DOI: 10.1007/s10237-011-0333-z.
6. Freed, A. D. “Hypoelastic Soft Tissues, Part I: Theory.” Acta Mechanica, 213 (2010), 189-204. DOI: 10.1007/s00707-009-0276-y.
7. Freed, A. D.; Einstein, D. R.; and Sacks, M. S. “Hypoelastic Soft-Tissues, Part II: In-Plane Biaxial Experiments.” Acta Mechanica, 213 (2010), 205- 222. DOI: 10.1007/s00707-010-0357-y.
8. Freed, A. D. “Anisotropy in Hypoelastic Soft-Tissue Mechanics, II: Simple Extensional Experiments.” Journal of Mechanics of Materials and Structures, 4 (2009), 1005-1025. DOI: 10.2140/jomms.2009.4.1005
9. Freed, A. D. “Anisotropy in Hypoelastic Soft-Tissue Mechanics, I: Theory.” Journal of Mechanics of Materials and Structures, 3 (2008), 911- 928. DOI: 10.2140/jomms.2008.3.911
10. Freed, A. D.; and Diethelm, K. “Caputo Derivatives in Viscoelasticity: A non-linear finite-deformation theory for tissues.” Fractional Calculus and Applied Analysis, 10 (2007), 219-248.
11. Notomi, Y.; Srinath, G.; Shiota, T.; Martin-Miklovic, M. G.; Beachler, L.; Howell, K.; Oryszak, S. J.; Deserranno, D. G.; Freed, A. D.; Greenberg, N. L.; Younoszai, A.; and Thomas, J. D. “Maturational and Adaptive Modulation of Left Ventricular Torsional Biomechanics: Doppler tissue imaging observation from infancy to adulthood.” Circulation, 113 (2006), 2534-2541. DOI: 10.1161/CIRCULATIONAHA.105.537639.
12. Diethelm, K.; and Freed, A. D. “An Efficient Algorithm for the Evaluation of Convolution Integrals.” Computers and Mathematics with Applications, 51 (2006), 51–72. DOI: 10.1016/j.camwa.2005.07.010
13. Freed, A. D.; and Diethelm, K. “Fractional Calculus in Biomechanics: A 3D viscoelastic model using regularized fractional derivative kernels with application to the human calcaneal fat pad.” Biomech. Modeling Mechanobiol., 5 (2006), 203-215. DOI: 10.1007/s10237-005-0011-0.
14. Einstein, D. R.; Freed, A. D.; Stander, N.; Fata, B.; and Vesely, I. “Inverse Parameter Fitting of Biological Tissues: A response surface approach.” Ann. Biomed. Engr., 33 (2005), 1819–1830. DOI: 10.1007/s10439-005- 8338-3.
15. Freed, A. D.; Einstein, D. R.; and Vesely, I. “Invariant Formulation for Dispersed Transverse Isotropy in Aortic Heart Valves: An efficient means for modeling fiber splay.” Biomech. Modeling Mechanobiol., 4 (2005), 100–117. DOI: 10.1007/s10237-005-0069-8.
16. Diethelm, K.; Ford, N. J.; Freed, A. D.; and Luchko, Yu. “Algorithms for the Fractional Calculus: A selection of numerical methods.” Computer Methods in Applied Mechanics and Engineering, 194 (2005), 743–773. DOI: 10.1016/j.cma.2004.06.006
17. Doehring, T. C.; Freed, A. D.; Carew, E. O.; and Vesely, I. “Fractional Order Viscoelasticity of the Aortic Valve Cusp: An alternative to quasilinear viscoelasticity.” ASME J. Biomech. Engr., 127 (2005), 700– 708.
18. Freed, A. D.; and Doehring, T. C. “Elastic Response of Crimped Collagen Fibrils.” ASME J. Biomech. Engr., 127 (2005), 587–593.
19. Diethelm, K.; Ford, N. J.; and Freed, A. D.: “Detailed Error Analysis for a Fractional Adams Method.” Numerical Algorithms, 36 (2004), 31–52.
20. Freed, A. D.: “Transverse-Isotropic Elastic and Viscoelastic Solids.” ASME J. Engr. Mater. Technol., 126 (2004), 38–44.
21. Diethelm, K.; Ford, N. J.; and Freed, A. D.: “A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations.” Nonlinear Dynamics, 29 (2002), 3–22.
22. Freed, A. D.; and Leonov, A. I.: “The Bailey Criterion: Statistical derivation and applications to interpretations of durability tests and chemical kinetics.” ZAMP, 53 (2002), 160–166.
23. Raj, S. V.; and Freed, A. D.: “A Phenomenological Description of Primary Creep in Class M Materials.” Mater. Sci. Engr., A283 (2000), 196–202.
24. Freed, A. D.: “Representing Tensor Functions With a Cholesky Transform,” Math. Mech. Solids, 4 (1999), 169–181.
25. Freed, A. D.: “Natural Strain,” J. Engr. Mater. Technol., 117 (1995), 379– 385.