A mixture approach to the mechanics of skin

Oomens, C. W. J.; van Campen, D. H.; Grootenboer, H. J.

Affiliations

¹Eindhoven University of Technology, Eindhoven, The Netherlands

²Twente University of Technology, Enschede, The Netherlands

Abstract

Skin can be considered to be a mixture of a solid and a fluid. A general theory for the description of the behaviour of mixtures is presented and applied to a mixture of a solid and a fluid. A numerical procedure is presented to solve the non-linear field equations describing such a mixture. The abilities of the procedure are demonstrated by means of a confined compression test.

Links

DOI: 10.1016/0021-9290(87)90147-3

PubMed: 3680313

WoS: A1987K404100005

History

Received: 1986-06-10

Revised: 1986-10-27

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Cited By (27)

Year	Entry
2007	Cowin SC, Doty SB. Modeling poroelastic and electrical effects in soft tissues. In: Tissue Mechanics. Boca Raton, FL: Springer; 2007:425-469.
2001	Cowin SC. Bone poroelasticity. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:23-1–23-31.
1990	Spilker RL, Suh J-K, Vermilyea ME, Maxian TA. Alternate hybrid, mixed, and penalty finite element formulations for the biphasic model of soft hydrated tissues. In: Mow VC, Ratcliffe A, Woo SL-Y, eds. Biomechanics of Diarthrodial Joints. Vol 1. New York, NY: Springer-Verlag; 1990:401-435.
1993	Sauren AAHJ, Claessens MHA. Finite element modeling of head impact: the second decade. In: Proceedings of the 1993 International IRCOBI Conference on the Biomechanics of Impact. September 8-10, 1993; Eindhoven, The Netherlands.241-254.
1991	Suh J-K, Spilker RL, Holmes MH. A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation. Int J Num Meth Eng. November 1991;32(7):1411-1439.
1992	Spilker RL, Donzelli PS, Mow VC. A transversely isotropic biphasic finite element model of the meniscus. J Biomech. September 1992;25(9):1027-1045.
1993	Hale JE, Rudert MJ, Brown TD. Indentation assessment of biphasic mechanical property deficits in size-dependent osteochondral defect repair. J Biomech. November 1993;26(11):1319-1325.
1999	Cowin SC. Bone poroelasticity. J Biomech. March 1999;32(3):217-238.
1990	Spilker RL, Suh J-K, Mow VC. Effects of friction on the unconfined compressive response of articular cartilage: a finite element analysis. J Biomech Eng. May 1990;112(2):138-146.
1991	Wayne JS, Woo SL-Y, Kwan MK. Application of the u-p finite element method to the study of articular cartilage. J Biomech Eng. November 1991;113(4):397-403.
1992	Spilker RL, Suh J-K, Mow VC. A finite element analysis of the indentation stress-relaxation response of linear biphasic articular cartilage. J Biomech Eng. May 1992;114(2):191-201.
2000	Klisch SM, Lotz JC. A special theory of biphasic mixtures and experimental results for human annulus fibrosus tested in confined compression. J Biomech Eng. April 2000;122(2):180-188.
1993	Setton LA. Effects of Intrinsic Viscoelasticity and Ion-Induced Swelling on the Mechanical Behavior of Articular Cartilage: Theory and Experiments [PhD thesis]. Columbia University; 1993.
2002	Sun D. Theoretical and Experimental Investigations of the Mechano-Electrochemical Properties of Articular Cartilage, a Charged -Hydrated -Soft, Biological Tissue [PhD thesis]. Columbia University; 2002.
2021	Shim JJ. A Multiphasic-Fluid-Structure Interaction Formulation Based on Mixture Theory and Its Finite Element Implementation in FEBio [PhD thesis]. Columbia University; 2021.
2000	LeRoux MA. Altered Mechanics of the Meniscus With a Healing Tear: Experimental Testing and Biphasic Finite Element Analysis [PhD thesis]. Duke University; 2000.
1989	Suh J-K. A Finite Element Formulation for Nonlinear Behavior of Biphasic Hydrated Soft Tissues Under Finite Deformation [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; September 1989.
1995	Donzelli PS. A Mixed-Penalty Contact Finite Element Formulation for Biphasic Soft Tissues [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; April 1995.
2002	Ün KM. A Penetration-Based Finite Element Method for Hyperelastic Three-Dimensional Biphasic Tissues in Contact [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; April 2002.
2003	Yang T. A Three-Dimensional Biphasic Finite Element Contact Formulation for Hydrated Soft Tissue [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; December 2003.
2003	Miller-Young JE. Factors Affecting Human Heel Pad Mechanics: A Finite Element Study [PhD thesis]. Calgary, AB: University of Calgary; April 2003.
2006	Rouhi G. Theoretical Aspects of Bone Remodeling and Resorption Processes [PhD thesis]. Calgary, AB: University of Calgary; March 2006.
1999	Klisch SM. A Continuum Mixture Theory With Internal Constraints for Annulus Fibrosus [PhD thesis]. Berkeley, CA: Berkeley, University of California; 1999.
1990	Wayne JS. Application of the u-p Finite Element Method to the Study of Articular Cartilage Under Small and Large Strains [PhD thesis]. San Diego (UCSD), University of California; 1990.
1998	Bain AC. In Vivo Mechanical Thresholds for Morphological and Functional Axonal Injury [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 1998.
2017	Maas S. Development of a Nonlinear Finite Element Code for Computational Biomechanics and Biophysics [PhD thesis]. University of Utah; May 2017.
1998	Arslanoğlu R. Mathematical Modeling and Experimental Aspects of Cellular Mechanotransduction [PhD thesis]. University of Texas at Austin; December 1998.