Publications (since 1990)
1. Yang, T.S. and Spilker, R.L., A Lagrange Multiplier Mixed Finite Element Formulation for Three-Dimensional Contact of Biphasic Tissues. Journal of Biomechanical Engineering, 2007. 129(3): p. 457-471.
2. Yang, T.S. and Spilker, R.L., A Study of Preconditioned Krylov Subspace Methods with Reordering for Linear Systems from a Biphasic v-p Finite Element Formulation. Computer Methods in Biomechanics and Biomedical Engineering, 2007. 10(1): p. 13-24.
3. Spilker, R.L. Modeling Soft Physiological Multiphase Materials and Determining their Material Properties using COMSOL Multiphysics and the Optimization Lab. in Proceedings of the 2007 COMSOL Users Conference. 2007. Boston, MA: COMSOL, Inc.
4. Yang, T.S. and Spilker, R.L., A Patch Test for a Mixed Finite Element Approach for Three-Dimensional Contact of Biphasic Tissues. Journal of Biomechanical Engineering, 2006. (in review).
5. Ün, K. and Spilker, R.L., A Penetration-Based Finite Element Method for Hyperelastic 3-D Biphasic Tissues in Contact: Part II - Finite Element Simulations. Journal of Biomechanical Engineering, 2006. 128: p. 934-942.
6. Ün, K. and Spilker, R.L., A Penetration-Based Finite Element Method for Hyperelastic 3-D Biphasic Tissues in Contact: Part I - Derivation of Contact Boundary Conditions. Journal of Biomechanical Engineering, 2006. 128: p. 124-130.
7. Donzelli, P., Gallo, L., Spilker, R., and Palla, S., Biphasic finite element simulation of the TMJ disc from in vivo kinematic and geometric measurements. Journal of Biomechanics, 2004. 37: p. 1787-1791.
8. Newman, D.L., Manning, K.S., Holmes, M.H., and Spilker, R.L., Longitudinal Evaluation of Innovative Technology Based Curricula: Integrating the Learning of Mathematics with Applied Science and Engineering. ASEE Transactions, 2002: p. Session 2176: 1- 8.
9. Ün, K. and Spilker, R.L., Comparison of linear and nonlinear models for biphasic tissues in contact, in Proceedings of the 2001 Bioengineering Conference. 2001, ASME: Snowbird, UT.
10. Miller, E.M. and Spilker, R.L., A method for regional averaging of finite element solutions and evaluation of cartilage inhomogeneity in unconfined compression. Journal of Biomechanical Engineering, 2001: p. (in review).
11. Dunbar, W., Ün, K., Donzelli, P., and Spilker, R., An evaluation of three dimensional diarthrodial joint contact using penetration data and the finite element method. Journal of Biomechanical Engineering, 2001. 123: p. 333 - 340.
12. Ün, K., Donzelli, P.S., and Spilker, R.L., Finite element simulation of cartilage mechanics during diarthrodial joint motion using physiological data, in 2000 Advances in Bioengineering. 2000, ASME: Orlando, FL.
13. Spilker, R.L., Donzelli, P.S., and Un, K. Computational methods for assessing mechanical function in soft tissue engineering. in Computational Modeling of Biological Systems: From Gene to Organ. 2000. Hilton Head SC.
14. Miller, E.M., Donzelli, P.S., and Spilker, R.L., Cartilage inhomogeneity affects the stress response in unconfined compression, in 47th Transactions of the Orthopaedic Research Society. 2000, Orthopaedic Research Society: San Francisco, CA.
15. Miller, E.M., Donzelli, P.S., and Spilker, R.L., A method to calculate volumetric integral averages from a finite element solution, in 2000 Advances in Bioengineering. 2000, ASME: Orlando, FL.
16. Chan, B., Donzelli, P., and Spilker, R., A mixed-penalty biphasic finite element formulation incorporating viscous fluids and material interfaces. Annals of Biomedical Engineering, 2000. 28: p. 589-597.
17. Ün, K., Donzelli, P.S., Spilker, R.L., Wang, V.M., Ateshian, G.A., and Mow, V.C., Simulation of biphasic tissue contact in the human glenohumeral joint using penetration data, in Proceedings of 1999 Bioengineering Conference. 1999, ASME: Big Sky, MT.
18. Spilker, R., Donzelli, P., and Shephard, M., Computational methods for functional soft tissue engineering, in 1999 Summer Bioengineering Conference. 1999, ASME: Big Sky, MT.
19. Donzelli, P.S., Spilker, R.L., Ateshian, G.A., and Mow, V.C., Contact analysis of biphasic transversely isotropic cartilage layers and correlations with tissue failure. Journal of Biomechanics, 1999. 32: p. 1037-1047.
20. Donzelli, P., Ateshian, G., Spilker, R., and Mow, V., Contact as a paradigm for finite element solutions of hydrated soft tissue mechanics, in 1999 Summer Bioengineering Conference. 1999, ASME: Big Sky, MT. p. 333-334.
21. Spilker, R.L., Donzelli, P.S., Mow, V.C., and Ateshian, V.C., Computational Methods for Three-Dimensional Contact Analysis of Diarthrodial Joint Soft Tissue Mechanics, in 13th National Congress on Theoretical and Applied Mechanics. 1998: Gainesville.
22. Spilker, R.L., Donzelli, P.S., Dunbar, W.L., Michaloski, R.M., O’Bara, R., Ateshian, G.A., Mow, V.C., and Shephard, M.S. Biphasic analysis of diarthrodial joints in contact: computational and finite element methods. in Fifth Japan-USA-Singapore-China Conference on Biomechanics. 1998. Sendai, Japan.
23. Spilker, R.L., Donzelli, P.S., and Dunbar, W.L., Finite element methods for diarthrodial joint biphasic contact, in Third World Congress of Biomechanics. 1998: Sapporo.
24. Spilker, R. and Donzelli, P., Computational methods in orthopedics: A review of the state of the art. Annals of Biomedical Engineering, 1998. 26(Supplement 1): p. 108.
25. Eckstein, F., Donzelli, P.S., and Spilker, R.L., Computation of solid matrix stresses in cartilage of incongruous joints using a biphasic contact finite element formulation, in 11th Conference of the European Society of Biomechanics. 1998, Europoean Society of Biomechanics: Toulouse, FR.
26. Donzelli, P.S. and Spilker, R.L., A contact finite element formulation for biological soft hydrated tissues. Computer Methods in Applied Mechanics and Engineering, 1998. 153: p. 63-79.
27. Donzelli, P.S., OBara, R.M., Spilker, R.L., Gallo, L.M., Baumann, H.F., and Palla, S., FEM simulation of TMJ disc deformation. Journal of Dental Research, 1998. 77(Special Issue B): p. 1028.
28. Donzelli, P. and Spilker, R., Finite element solutions of contact problems in soft hydrated tissues. Annals of Biomedical Engineering, 1998. 26(Supplement 1): p. 77.
29. Almeida, E.S. and Spilker, R.L., Finite element formulations for hyperelastic transversely isotropic biphasic soft tissues. Computer Methods in Applied Mechanics and Engineering, 1998. 151: p. 513-538.
30. Almeida, E.S. and Spilker, R.L., Mixed and penalty finite element models for the nonlinear behavior of biphasic soft tissues in finite deformation: Part II - Nonlinear examples. Computer Methods in Biomechanics and Biomedical Engineering, 1998. 1: p. 151-170.
31. Spilker, R.L., Shephard, M.S., Flaherty, J.E., Donzelli, P.S., Dunbar, W.L., OBara, R.M., Mow, V.C., and Ateshian, G.A., 3D analysis of biphasic layers using physiological data, in Fourth U. S. National Congress on Computational Mechanics, M.S. Shephard, Editor. 1997, U. S. Association of Computational Mechanics: San Francisco. p. 64.
32. Donzelli, P.S. and Spilker, R.L., Computational tools for geometric and finite element modelling of diarthrodial joints, in Computation Methods in Orthopaedic Biomechanics, T. Keaveny, J. Lotz, and S. Robinovitch, Editors. 1997, Dept. of Mechanical Engineering, UC Berkley: Berkeley.
33. Donzelli, P.S., Eckstein, F., Putz, R., and Spilker, R.L., Physiological joint incongruity significantly affects the load partitioning between the solid and fluid phases of articular cartilage. Journal of Bone and Joint Surgery, 1997.
34. Donzelli, P.S., Eckstein, F., Putz, R., and Spilker, R.L., Physiological joint incongruity significantly affects the load partitioning between the solid and fluid phases of articular cartilage, in Transactions of the Orthopaedic Research Society, L.J. Sandell, Editor. 1997, Orthopaedic Research Society: San Francisco, CA. p. 82.
35. Donzelli, P.S., Ateshian, G.A., and Spilker, R.L., Biphasic finite element contact solutions and comparisons with analytic results, in Fourth U. S. National Congress on Computational Mechanics, M.S. Shephard, Editor. 1997, U. S. Association for Computational Mechanics: San Francisco. p. 125.
36. Almeida, E.S. and Spilker, R.L., Mixed and penalty finite element models for the nonlinear behavior of biphasic soft tissues in finite deformation: Part I - Alternate formulations. Computer Methods in Biomechanics and Biomedical Engineering, 1997. 1: p. 25-46.
37. Dunbar, W.L., Jr. and Spilker, R.L., Evaluation of 3D biphasic finite element analysis of diarthrodial joint contact using proximity data, in 1996 Advances in Bioengineering, S. Rastegar, Editor. 1996, ASME: New York. p. 167-168.
38. Donzelli, P.S. and Spilker, R.L., A finite element investigation of solid phase transverse isotropy in contacting biphasic cartilage layers, in 1996 Advances in Bioengineering, S. Rastegar, Editor. 1996, ASME: New York. p. 349.
39. Spilker, R.L. and Shephard, M.S., Computational challenges in modeling human joints, in Third U.S. National Congress on Computational Mechanics, J.N. Reddy, Editor. 1995, USACM. p. 62.
40. Donzelli, P.S. and Spilker, R.L., Investigation of gleno-humeral contact by the finite element method, in Transactions of the Orthopaedic Research Society. 1995, Orthopaedic Research Society: Orlando, FL. p. 684.
41. Donzelli, P.S. and Spilker, R.L., An iterative contact detection algorithm for a mixed-penalty biphasic finite element, in Proceedings of the 1995 Bioengineering Conference, R.M. Hochmuth, N.A. Langrana, and M.S. Hefzy, Editors. 1995, ASME: New York. p. 169-170.
42. Almeida, E.S., Spilker, R.L., and Holmes, M.H., A transversely isotropic constitutive law for the solid matrix of articular cartilage, in Proceedings of the 1995 Bioenginering Conference, R.M. Hochmuth, N.A. Langrana, and M.S. Hefzy, Editors. 1995, ASME: New York. p. 161-162.
43. Suh, J.-K. and Spilker, R.L., Indentation analysis of biphasic articular cartilage: Nonlinear phenomena under finite deformation. Journal of Biomechanical Engineering, 1994. 116: p. 1-9.
44. Spilker, R.L., Shephard, M.S., Ateshian, G.A., Mow, V.C., Almeida, E.S., Donzelli, P.S., and Clutz, C.J., Simulating the 3D biphasic response of soft tissues in diarthrodial joints using physiological data, in Second World Congress of Biomechanics, L. Blankevoort and J.G.M. Kooloos, Editors. 1994, Stichting World Biomechanics: Nijmegen. p. 212.
45. Spilker, R.L., Almeida, E.S., and Donzelli, P.S., Finite element models for three dimensional finite deformation of biphasic soft tissues, in Recent Developments in Poroelasticity, A.P.S. Selvadurai, Editor. 1994, ASME: New York.
46. Spilker, R.L. Finite element models and high performance computation for the finite deformation of biphasic soft tissues. in Twelfth U. S. National Congress of Applied Mechanics. 1994. University of Washington: University of Washington Press.
47. Donzelli, P.S. and Spilker, R.L., A mixed-penalty contact finite element formulation with applications to biphasic tissues of the knee, in 1994 Advances in Bioengineering, M.J. Askew, Editor. 1994, ASME: New York. p. 13-14.
48. Donzelli, P.S. and Spilker, R.L., An investigation of contact of soft tissues by the finite element method, in Second World Congress of Biomechanics, L. Blankevoort and J.G.M. Kooloos, Editors. 1994, Stichting World Biomechanics: Nijmegen. p. 216.
49. Almeida, E.S. and Spilker, R.L., Linear and nonlinear three-dimensional finite elements for biphasic continuum applied to soft hydrated tissues, in Second World Congress of Biomechanics, L. Blankevoort and J.G.M. Kooloos, Editors. 1994, Stichting World Biomechanics: Nijmegen. p. 215.
50. Vermilyea, M.E. and Spilker, R.L., Hybrid and mixed-penalty finite elements for 3D analysis of soft hydrated tissue. International Journal for Numerical Methods in Engineering, 1993. 36: p. 4223-4243.
51. Spilker, R.L., Almeida, E.S., and Donzelli, P.S., Finite element methods for the biomechanics of soft hydrated tissues: nonlinear analysis and adaptive control of meshes, in High Performance Computing in Biomedical Research, T.C. Pilkington, et al., Editors. 1993, CRC Press: Boca Raton, Florida, USA. p. 227-261.
52. Spilker, R.L., Almeida, E.S., Clutz, C., Shephard, M.S., Ateshian, G.A., and Donzelli, P.S., Three dimensional automated biphasic finite element analysis of soft tissues from stereophotogrammetric data, in 1993 Advances in Bioengineering, J.M. Tarbell, Editor. 1993, ASME: New York. p. 15-18.
53. Mow, V.C., Ateshian, G.A., and Spilker, R.L., Biomechanics of diarthrodial joints: A review of twenty years of progress. Journal of Biomechanical Engineering, 1993. 115: p. 460-467.
54. Donzelli, P.S. and Spilker, R.L. Planar contact analysis for linear biphasic materials using mixed-penalty finite elements and Lagrange multiplier techniques. in 2nd U. S. National Congress on Computational Mechanics. 1993. Washington: Univ. of Virginia.
55. Donzelli, P.S. and Spilker, R.L., A finite element formulation for contact of biphasic materials: evaluation for plane problems, in 1993 Advances in Bioengineering, J. Tarbell, Editor. 1993, ASME: New York. p. 47-50.
56. Almeida, E.S. and Spilker, R.L. A three-dimensional mixed-penalty finite element for a biphasic continuum under finite deformations. in Second U.S. National Congress on Computational Mechanics. 1993. Washington, D.C.
57. Almeida, E.S. and Spilker, R.L., A three-dimensional mixed-penalty finite element for a biphasic continuum under finite deformation, in 1993 Advances in Bioengineering, J.M. Tarbell, Editor. 1993, ASME: New York. p. 19-22.
58. Vermilyea, M.E. and Spilker, R.L., A hybrid finite element formulation of the linear biphasic equations for soft hydrated tissues. International Journal for Numerical Methods in Engineering, 1992. 33: p. 567-594.
59. Spilker, R.L., Suh, J.K., and Mow, V.C., A finite element analysis of the indentation stress-relaxation response of linear biphasic articular cartilage. Journal of Biomechanical Engineering, 1992. 114: p. 191 - 201.
60. Spilker, R.L., Donzelli, P.S., and Mow, V.C., A transversely isotropic biphasic finite element model of the meniscus. Journal of Biomechanics, 1992. 25(9): p. 1027-1045.
61. Spilker, R.L. and Donzelli, P.S., A biphasic finite element model of the meniscus for stress-strain analysis, in Knee Meniscus - Basic and Clinical Foundations, V.C. Mow, S.P. Arnoczky, and D.W. Jackson, Editors. 1992, Raven Press: New York.
62. Spilker, R.L. and Almeida, E.S., A mixed-penalty finite element formulation for the finite deformation of a biphasic continuum with hyperelastic solid phase, in Symposium on Computational Mechanics of Porous Materials and their Thermal Decomposition, N.J. Salamon and R.M. Sullivan, Editors. 1992, ASME: New York. p. 43-53.
63. Donzelli, P.S., Spilker, R.L., Baehmann, P.L., Niu, Q., and Shephard, M.S., Automated adaptive analysis of the biphasic equations for soft tissue mechanics using a posteriori error indicators. International Journal for Numerical Methods in Engineering, 1992. 34(3): p. 1015-1033.
64. Suh, J.-K., Spilker, R.L., and Holmes, M.H., A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation. International Journal for Numerical Methods in Engineering, 1991. 32: p. 1411-1439.
65. Donzelli, P.S., Spilker, R.L., Baehmann, P.L., and Shephard, M.S. An adaptive biphasic finite element analysis of soft hydrated tissues. in First US National Congress on Computational Mechanics. 1991. Chicago, Il.
66. Donzelli, P.S. and Spilker, R.L. Automated and adaptive finite element analysis for linear biphasic hydrated soft tissues with a mixed-penalty formulation. in Third USA-China-Japan Conference on Biomechanics. 1991. Georgia Institute of Technology, Atlanta, Ga.
67. Donzelli, P.S. and Spilker, R.L., Automated adaptive analysis of linear biphasic tissues with a mixed-penalty finite element formulation, in 1991 Advances in Bioengineering, R. Vanderby, Jr., Editor. 1991, ASME: New York. p. 497-500.
68. Chan, B. and Spilker, R.L., Treatment of interface conditions between solid, fluid and biphasic continua via finite elements, in 1991 Advances in Bioengineering, R. Vanderby, Editor. 1991, ASME: New York. p. 493-496.
69. Vermilyea, M.E. and Spilker, R.L., A three-dimensional mixed-penalty finite element for the biphasic model of soft hydrated tissues, in 1990 Advances in Bioengineering, S. Goldstein, Editor. 1990, ASME: New York. p. 211-214.
70. Vermilyea, M.E. and Spilker, R.L., Formulation of a hybrid finite element for the linear biphasic description of soft hydrated tissues, in 1990 Advances in Bioengineering, S. Goldstein, Editor. 1990, ASME: New York. p. 207-210.
71. Spilker, R.L., Vermilyea, M.E., and Maxian, T.A. A mixed-penalty finite element method for the biphasic model of soft hydrated tissues. in First World Congress of Biomechanics. 1990.
72. Spilker, R.L., Suh, J.K., Vermilyea, M.E., and Maxian, T.A., Alternate hybrid, mixed, and penalty finite element formulations for the biphasic model of soft hydrated tissues, in Biomechanics of Diarthrodial Joints, V.C. Mow, T.A. Ratcliffe, and S.Y.L. Woo, Editors. 1990, Springer-Verlag: New York. p. 401-435.
73. Spilker, R.L., Suh, J.-K., and Mow, V.C., Effects of friction on the unconfined compressive response of articular cartilage: A finite element analysis. Journal of Biomechanical Engineering, 1990. 112(2): p. 138-146.
74. Spilker, R.L. and Suh, J.-K., Formulation and evaluation of a finite element model of soft hydrated tissue. Computers & Structures, 1990. 35(4): p. 425-439.
75. Spilker, R.L. and Maxian, T.A., A mixed-penalty finite element formulation of the linear biphasic theory for soft tissues. International Journal for Numerical Methods in Engineering, 1990. 30: p. 1063-1082.
76. Guilak, F., Spilker, R.L., and Mow, V.C., A finite element model of cartilage extracellular matrix response to static and cyclic compressive loading, in 1990 Advances in Bioengineering, S. Goldstein, Editor. 1990, ASME: New York. p. 13-14.
77. Athanasiou, K.A., Rosenwasser, M.P., Spilker, R.L., Buckwalter, J.A., and Mow, V.C. Effects of passive motion on the material properties of healing articular cartilage. in Transactions of the 36th Annual Meeting of the Orthopaedic Research Society. 1990. New Orleans LA: ORS.
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