Redistribution of stress due to a circular hole in a nonlinear anisotropic membrane

Journal of Biomechanics

Volumn 37, Issue 8, 2004, Pages 1197-1203

  David, G ^a   Humphrey, J D ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Finite deformations; Mechanotransduction; Minimally invasive surgery; Skin biopsy

Indexed keywords

ANISOTROPY; BIOLOGICAL MEMBRANES; BOUNDARY VALUE PROBLEMS; CELLS; STRESSES;

MULTIAXIAL STRESSES; ORTHOTROPY;

BIOMECHANICS;

ANISOTROPY; ARTICLE; CELL ACTIVITY; CELL CYCLE; CELL DEATH; CELL MIGRATION; CORRELATION ANALYSIS; CYTOSKELETON; HOMEOSTASIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PRIORITY JOURNAL; STRESS;

ALGORITHMS; ANISOTROPY; ELASTICITY; MEMBRANES; MODELS, BIOLOGICAL; STRESS, MECHANICAL;

EID: 2942748125     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2003.12.013     Document Type: Article

References (10)

1. Cowin S.C. How is tissue built? Journal of Biomechanical Engineering. 122:2000;553-569
2. Foster A. Cataract - a global perspective. output, outcome, and outlay Eye. 13:1999;449-453
3. Fung Y.C. Biomechanics. Motion, Flow, Stress, and Growth:1990;Springer, New York
4. Humphrey J.D. Cardiovascular Solid Mechanics. Cells, Tissues, and Organs:2002;Springer, New York
5. Oden, J.T., 1972. Finite Elements of Nonlinear Continua. McGraw-Hill, New York, pp. 308-312.
6. Rivlin R.S., Thomas A.G. Large elastic deformations of isotropic materials VIII. Strain distribution around a hole in a sheet. Philosophical Transactions of the Royal Society (London) A. 243:1951;289-298
7. Ryan J.M., Humphrey J.D. Finite element based predictions of preferred material symmetries in saccular aneurysms. Annals of Biomedical Engineering. 27:1999;641-647
8. Tranquillo R.T., Murray J.D. Continuum model of fibroblast-driven wound contraction. inflammation-mediation Journal of Theoretical Biology. 158:1992;135-172
9. Varley E., Cumberbatch E. Finite deformations of elastic materials surrounding cylindrical holes. Journal of Elasticity. 10:1980;341-405
10. Verma P.D.S., Rana O.H. Radial deformation of a plane sheet containing a circular hole or inclusion. International Journal of Nonlinear Mechanics. 13:1978;199-260